The Virginia Smart Road - The Impact of PavementInstrumentationon
Transcript of The Virginia Smart Road - The Impact of PavementInstrumentationon
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The Virginia Smart Road: The Impact of Pavement
Instrumentation on Understanding Pavement Performance
Imad L. Al-Qadi1, Amara Loulizi2, Mostafa Elseifi3, and Samer Lahouar4
Abstract
This paper presents the description, calibration procedures,
installation, and performance of the instrumentation used at the Virginia
Smart Road to measure flexible pavement response to loading. Also
presented are the measured horizontal transverse and longitudinal strains
induced in the hot-mix asphalt (HMA) during compaction with a steel
drum compactor both with and without vibrations. In addition, this paper
presents the data collected and used to determine the vertical
compressive stress pulse induced by a moving truck at different locations
beneath the pavement surface. These data were also used to determine
the effects of temperature, speed, and tire inflation pressure on the
measured vertical compressive stress and measured horizontal transverse
strain, induced by a steering-axle tire of 25.8kN, under the HMA layer.
The data were used make a comparison between measured pavement
responses to truck loading with those calculated using linear elastic
theory. It was found that HMA is subjected to very high horizontalstrains during compactionespecially when vibration is used. It was
also found that a haversine equation well represents the measured
normalized vertical compressive stress pulse for a moving vehicle.
Haversine duration times varied from 0.02s for a vehicle speed of
70km/h at a depth of 40mm to 1.0s for a vehicle speed of 10km/h at a
depth of 597mm. As expected, temperature was found to significantly
affect the measured vertical compressive stress and measured horizontal
transverse strain under the HMA layer. Although speed was found not to
affect the magnitude of the measured vertical compressive stress, it was
found to affect the loading time. On the other hand, speed was found to
significantly affect the measured horizontal transverse strain under the
HMA layer. Variation in tire inflation pressure from 552kPa to 724kPa
was found not to affect the measured vertical compressive stress and the
measured horizontal transverse strain at the bottom of the HMA layer. A
comparison between the measured responses and those calculated using a
finite element model that uses linear elastic theory indicated that the
elastic theory overestimates pavement responses at low temperatures butsignificantly underestimates these responses at high temperatures. An
1The Charles E. Via, Jr. Professor of Civil and Environmental Engineering, 2Research Scientist, 3,
4Senior Research Associate, Virginia Tech Transportation Institute
The oral presentation was made by Professor Al-Qadi
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improved prediction of pavement responses was achieved by modifying
the bonding conditions at the interfaces, and by modeling HMA as a
viscoelastic material.
Key Words:Hot Mix Asphalt, Pavement Instrumentation, LongitudinalStrains
Introduction
Pavement instrumentation has recently become an important tool to
monitor in-situ pavement material performance and quantitatively
measure pavement-system response to truck and environmental loading
(1,2,3,4,5). Parameters that need to be measured in the field include
strains, stresses, deflections, moisture, and temperature. In-situ
measurements of these parameters allow for the development of accurate
pavement response models, which leads to better mechanistic pavement
design approaches. Measuring pavement response to loading is feasible
given the recent development in instrumentation technology and the
experience gained by many researchers in installing such instruments in
real pavement structures.
In 1998, the Virginia Department of Transportation began the
construction of a new test road, the Virginia Smart Road, to be an
adaptable facility for transportation research and evaluation.Construction of the 3.2km Test Facility ended in November 1999. The
pavement test road includes flexible-pavement test sections, a
continuously reinforced rigid pavement, and a jointed plain rigid
pavement. The flexible-pavement portion of the Virginia Smart Road
includes 12 sections, as shown in Table 1. Each section is approximately
100-m-long. The first seven sections are located on a fill, while the
remaining five sections are located in a cut. Seven different wearing-
surface mixes were used: five different SuperpaveTM
mixtures, an open-
graded friction course (OGFC), and a Stone Matrix Asphalt (SMA). A
HMA base with a maximum nominal aggregate size of 25mm (BM-25.0)
was used in all sections, with different thicknesses varying from 100 to
225mm. An open-graded drainage layer (OGDL) was incorporated in
nine sections at a thickness of 75mm. This drainage layer was stabilized
with asphalt cement in seven sections and with Portland cement in two
sections (K and L). A Portland-cement-treated aggregate (CTA) base
was used at a thickness of 150mm in ten sections. An unbound
aggregate subbase layer was placed above the subgrade in all sections,with thicknesses varying from 75 to 175mm. Different types of
geosynthetics and reinforcing steel nettings were also incorporated in
some sections.
All 12 sections are closely monitored through a complex array of
sensors located beneath the roadway. All instruments, which include
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different types of strain gauges, pressure cells, thermocouples, time-
domain reflectometry (TDR) probes, and resistivity probes, were
installed during construction of the road. Description of these elements,
calibration procedures, installation procedures, performance issues, and
pavement response to loading are discussed in this paper.
Table 1. Virginia Smart Road 12 Flexible-Pavement Designs
HMA
Sec. WS
(mm)
BM-25.0
(mm)
SM-9.5A
(mm)
OGDL
(mm)
CTA
(mm)
Unbound
Aggregate
(mm)
A 38 150 - 75^ 150 175
B 38 150 - 75^ 150 175/ GT
C 38 150 - 75^ 150 175/ GT
D 38 150 - 75^ 150 175/ GT
E 38 225 - - 150 75/ GT
F 38 150 - - 150 150
G 38 100 50 - 150 150/ GT
H 38 100 50 75^ 150 75
I 38* 100/RM 50 75^ 150 75
J 38 225 - 75^/MB - 150
K 38 225/SR - 75+ - 150
L 38 150/RM - 75+ 150 75
* High laboratory compaction ^ Asphalt treated + Portland cement
treated
WS: Wearing surface; SR: Stress Relief Geosynthetic; GT: Woven
Geotextile/Separator; RM: Reinforcing Steel Nettings; MB: Moisture
Barrier
Instrument Description, Calibration, Installation, and Performance
A brief description of the instruments is presented below. Also
presented is a description of the data-acquisition system used and the
developed software used to acquire, manage, and analyze the data. All
instruments were embedded in the pavement sections during
construction. Environmental instruments were installed in the centerline
of the two-lane road, while load-associated instruments were installed inthe wheel path (0.5, 1, and 1.5m from the shoulder) to account for traffic
wander and for replications.
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The RST pressure cells were selected to measure the vertical
compressive stress under all the layers of the pavement sections in the
Virginia Smart Road. A cell consists of two circular steel plates welded
together around their rims to create a cell approximately 150mm or225mm in diameter and 12.5-mm-thick. The space between the plates is
liquid-filled. A steel tube connects the liquid to an electrical pressure
transducer. The transducer consists of two basic elements: one
mechanical and the other electrical. The mechanical, or force-summing
element, converts the applied pressure into a deflection or displacement
that is proportional to the pressure. The mechanical displacement is
transmitted to the strain-sensing element, thus changing the electrical
resistance of the sensing element. The strain gauge in the transducer isbonded to a diaphragm that flexes with pressure. A pair of gauges (one
on each side) is mounted at the center of the diaphragm, and two
mounted in the comparatively unstressed area at the edge of the
diaphragm. The unstressed gauges are known as dummy gauges and are
included in the bridge circuit to provide automatic temperature
compensation. Two different sizes of pressure cells were selected. The
pressure cells were placed in the upper layers of the pavement structure
(i.e., HMA layers have a diameter of 150mm and can measure up to
690kPa). They have been specially designed to withstand hightemperatures during the HMA laydown. The wires used are also for
direct burial and can withstand a temperature up to 200C. The pressure
cells that were placed in the base layers and subgrade have a 225mm
diameter and can measure up to 414kPa.
Calibration curves were developed by the manufacturer to convert
the measured voltage into pressure. The calibration performed by the
manufacturer consisted of placing the cell between two rigid plates,
which have inflatable rubber membranes. The pressure in thesemembranes was gradually increased and held constant for a specific time
before the voltage was measured. This process was repeated until the
full range of the pressure cell was covered. To evaluate this procedure,
the testing of some pressure cells in a Gyratory Compactor (GC) and in
an Instron machine was conducted at Virginia Tech. The pressure cells
were placed in the Gyratory compactor, a static load was applied, and the
output voltage was measured. This process was repeated at different
pressure levels to obtain the curve of voltage versus pressure. The
difference between the calibration curves obtained with this procedureand that used by the manufacturer were found at low pressure values. At
high pressure values, there were no differences. The difference at low
pressure values was attributed to the edge effect and contact areas
between the GC puck and the pressure cell.
Pressure Cells
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that the relationship between the pressure cell output voltage and the
applied pressure is linear and independent of the loading rate. The
calibrations by the manufacturer were deemed acceptable and were usedfor the field-embedded pressure cells. Pressure cells were installed at
many locations in different layers of the Virginia Smart Road pavement.
For the cells placed in the subgrade and the unbound aggregate subbase
layer, the following steps were carried out:
The subgrade was dug using a small shovel to allow the
instrument in the subgrade to be placed at 25mm below the
interface. A circular hole was excavated at the proposed location
of the sensor. The diameter of the excavation was roughly the
same diameter as a cell load-sensing element. A trench
approximately 75mm wide by 381mm long and 127mm deep
was excavated to accommodate the transducer housing.
Trenches for the wires were dug to the location of the sensor.
They were then filled with a thin layer of sand.
Any particles greater than 6mm in diameter were removed from
the bottom of the hole. A smooth surface at the bottom of the
excavated area was prepared by tamping the soils with a tamper.
A thin layer of sand was placed at the bottom of the preparedhole. The sand was again smoothed and tamped with a tamper.
The cell was placed with the sensitive surface of the cell facing
downward. Good contact between the cell face and the sand
layer was ensured. Good contact between the transducer housing
and the soil was also established. The leveling was checked by
placing a small bubble level in the center of the cell.
Subgrade and subbase materials that were removed prior to
installation were placed back into the hole and were compactedusing a 200mm square steel-plate tamper.
The wires were placed in the trench, which were then backfilled.
For the Pressure cells placed on top of the CTA layer and on top of
the OGDL layer, a geosynthetic layer was used to protect the sensitive
surface of the pressure cell. For HMA layers, the layer underneath the
pressure cell was dug and a thin layer of a mixture of PG 64-22 binder
and sand was placed to protect the sensitive side of the pressure cell and
level the pressure cell with the surface of the existing layer. The pressurecell transducer was buried approximately 50mm deeper than the circular
plate. All pressure cells were checked for response after installation.
Figure 1a, b, and c show pressure cells installed in the subgrade, on top
of cement treated OGDL, and under the HMA wearing surface,
respectively.
The pressure cells were then tested using an Instron servo-hydraulic
machine and were evaluated at different loading rates. It was concluded
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A pressure cell was defined as failing if the sensor gave a constant
out-of-range reading or if its response became too active even though it
was not triggered by any load.
(a) (b) (c)
Figure 1. Installed pressure cells: (a) subgrade (b) top of OGDL (c)under wearing surface
To study the performance of the pressure cells, their failure
percentage was monitored during construction, after one year of service,
after two years of service, and after three years of service. During
construction, only six percent of the pressure cells failed; after one year
of service, the failure percentage increased to 28 percent; then to 41
percent after two years; and finally, 45 percent after three years. Figure2 shows the failure percentage of the pressure cells by section. There
was no clear indication whether the section affected the performance of
the pressure cells. After three years of service, Sections C and I have the
highest failure percentage, while Section H has the lowest failure
percentage during the same three-year period. No pressure cells failed
during the construction of the last five sections, except for one pressure
cell in Section K.
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0
10
20
30
40
50
6070
80
90
100
A B C D E F G H I J K LSection #
%Failure
During Construction
1 year
2 years
3 years
Figure 2. Failure percentage of the pressure cells by section
HMA Strain GaugesThe Dynatest PAST-II-AC strain gauge is an H shaped precision
transducer, specifically manufactured for strain measurements in HMA.
The strain gauge is completely embedded in a strip of glass-fiberreinforced epoxy, a material with a relatively low stiffness and a high
flexibility and strength. Each end of the epoxy strip is securely fastened
to a stainless steel anchor to ensure proper mechanical coupling to the
HMA material after installation. The PAST transducer has a resistance
of 120 and a gauge factor of two.
To convert from the measured voltage reading, Vout, to strain values
Equation 1 is used:
in
out
VGFxV= (1)
where Vinis equal to 10V.
To check Equation 1, a caliper was designed and manufactured at
Virginia Tech. The caliper is capable of applying a uniformly static or
dynamic tension/compression force to the gauge by means of a screw
shaft that moves in both directions without torsioning or bending the
gauge. A sensitive micrometer head is connected to the system to
measure the exact amount of applied displacement to the gauge. Testingconsisted of tensioning and/or compressing the tested strain gauge,
measuring the mechanically induced strain and, comparing it with the
strain obtained with Equation 1. Readings from the caliper were in goodagreement with those obtained using Equation 1; therefore, this equation
was used for all field-embedded strain gauges.
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The strain gauges were installed in the field, Figure 3, using the
following steps:
A small piece of geosynthetic was placed on the finished OGDL
layer. The geosynthetic was cut to the smallest size possible,
which was done to protect the sensor from any sharp aggregates.
A thin layer of bitumen primer was applied to the area where the
transducer was to be placed. It was then left to cure.
A thin layer of 3-4mm sand/binder mix was applied on the cured
binder primer. The anchor bars of the transducer were pressed
by hand into the sand/binder mix until contact between the strain
gauge bar and the sand binder mix was established. Again, it
was left to cure.
The wires were wrapped with geosynthetic and nailed to the
OGDL layer.
Figure 3. HMA strain-gauge installation under HMA layer on top of
OGDL
Hot-mix asphalt was taken from the paver. Large size aggregate
were removed, then a 20 to 30-mm-thick layer was placed on topof the transducer to cover it.
The material was compacted first by applying a static pressure
and a steel plate on the HMA. The compaction was completed using a solid hand roller. The
HMA was rolled in the direction of the anchor bars.
The HMA layer was placed and compacted using regular
construction practices
For the strain gauges located at the bottom of the wearing surface,
the following steps were followed:
A 25-mm-deep hole was dug in the HMA base layer. The
bottom of the hole was smoothened by a concrete grinder.
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A thin layer of binder primer was applied to the area where the
transducer was to be placed. It was then left to cure. A thinlayer of sand/binder mix was applied on the cured binder primer.
The anchor bars of the transducer were pressed by hand into a
sand/binder mix, until contact between the strain gauge bar and
the sand/binder mix is established. Again, it was left to cure.
The wires were wrapped with geosynthetic and nailed to the
finished HMA base layer.
Hot-mix asphalt was taken from the paver. Large size aggregate
were removed, then a 20 to 30-mm-thick layer was placed on topof the transducer to cover it. The material was compacted first
by applying a static pressure and a steel plate on the HMA. The
compaction was completed using a solid hand roller. The HMA
was rolled in the direction of the anchor bars.
Similar to the pressure cells, failure in the HMA strain gauges was
defined when the sensor start to give a constant out-of-range reading or
when its response becomes too noisy all the time even though it is not
triggered by any load. During construction, only 6 percent of the HMAstrain gauges failed. After one year of service the failure percentage of
the HMA strain gauges increased to 26 percent, then to 62 percent after
two years, and finally the failure percentage reached 71 percent after
three years. Figure 4 shows the failure percentage of the HMA strain
gauges by section. There was no clear indication whether the section
affected the performance of the strain gauges. Section I has the lowest
failure percentage after the three year period. It is to be noted that there
was no failure of the HMA strain gauges during construction except for afew in sections B and K.
Temperature SensorsT-type thermocouples were used to measure the temperature in the
pavement sections of the Virginia Smart Road. The thermocouple
consists of a twisted-stranded-shielded soldered pair of wire (constantan
and copper). After the wire pair was twisted and soldered, the exposed
end was surrounded by 6.4mm inside-diameter copper tubing. The
tubing was then attached to the cable insulation by heat shrinkableTeflon tubing, which was done to insulate the tubing from the exposed
wire pair and to provide a reservoir for epoxy. Epoxy was used to
surround the thermocouple and to serve as a barrier to environmental
effects.
A small piece of geosynthetic was placed in the hole. The
geosynthetic was cut to the smallest possible size to protect the
sensor from sharp aggregates.
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0
10
20
30
40
50
60
70
80
90
100
A B C D E F G H I J K LSection #
%Failure
During Construction
1 year
2 years
3 years
Figure 4. Failure percentage of the HMA strain gauges by section
After fabrication, the response from the thermocouples was checked
at two reference temperatures: Ice-water and boiling water. The
response from each thermocouple was recorded and compared to a
reading from a calibrated thermometer. From this procedure, it was
determined that the thermocouples yielded results that were withinoperational ranges (the largest difference between measured and actual
temperature was 2oC).
Prior to installation, all thermocouples were wrapped inside a sheet
of geosynthetic material and were then placed in the desired location
before pavement material was placed on top of them, Figure 5.
All thermocouples performed well, as only 2 percent were damaged
during construction and 5 percent were damaged after one year of
service. After the first year, no more thermocouples were damaged.
Resistivity probes were used to measure frost penetration.
Resistivity probes rely on the measurement of electrical resistance
between the conductors mounted along a cylindrical probe to determine
where the soil is frozen and where it is thawed. This concept is based on
the wide difference between the volume resistivity of frozen soil (from
500,000 up to several million ohms) and thawed soil (normally 20,000 to
50,000 ohms). Frost penetration is determined by making sequential
resistance measurements between adjacent pairs of electrodes down the
resistivity probe and documenting at what depth the resistance goes froma high to a low value.
Resistivity probes are made from PVC rods. The diameter of the rod
used in this study is 25mm, but it can be as small as 6.35mm. The bare
copper rings, spaced at 25mm, on the probe must be in actual electrical
contact with the soil particles over their entire surface area to insure that
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a representative resistivity value is obtained. A probe length of 600mm
was selected for use at the Virginia Smart Road. The probes were
flushed with the subbase layer.
An ERB-20 interface is connected between the resistivity probe and
the Campbell Scientific CR10X Data Logger to apply a sine wave signalto successive coil pairs of the resistivity probe. No failures in the
resistivity probes since construction.
Figure 5. Installation of thermocouples
Time Domain Reflectometry Probes
One method for continually measuring the moisture content of
pavement systems nondestructively is time-domain reflectometry (TDR).
Time-domain reflectometer employs an electromagnetic wave that is
transmitted along a set of metallic conducting rods (or waveguides). The
velocity of the pulse is influenced by the dielectric constant () of thematerial surrounding the waveguides. The dielectric constant is a ratio of
the permittivity of the material to the permittivity of a vacuum (0=
8.8542 x 10-12
F/m) and is dimensionless. Developed to measure faults in
communication cables and transmission lines by applying pulses to a
cable and collecting the reflected waveform, TDR has been adapted by
agricultural researchers to measure the moisture content of soils during
irrigation.
Two types of TDR soil moisture measurement instruments were usedin this study: CS610 and CS615. The CS610 is comprised of three
parallel conducting rods that are 300mm in length. A distance of 22mm
separates the rods, and the rods are held rigidly in place on one end by an
epoxy head that is 111- by 63- by 20-mm in size. Output using the
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CS610 TDR is usually displayed as a voltage or reflection coefficient
versus time. The travel time of the reflected signal is computed and, in
conjunction with a velocity of propagation constant, the distance to the
discontinuity can be determined. When the TDR probe is inserted into
soil, the travel time of the applied pulse along the probe length isdependent upon the soil water content. Soil moisture content possesses
an inverse relationship with the velocity of propagation; therefore, the
relationship is directly related to time.
The CS615 TDR probe is comprised of two parallel conducting rods
that are 300 mm in length. A distance of 32mm separates the rods. The
rods are held rigidly in place on one end by an epoxy head that is 110- by
63- by 20-mm in size. The epoxy head contains electronic components
configured as a bistable multivibrator. Changes in soil water content
affect the transit time of the electromagnetic wave along the 300mm
rods. The sum of the rod transit time and the inherent delay of the
electronic components determine the oscillation frequency of the
multivibrator. A scaling circuit is used to scale the measured frequency
to a value compatible with data acquisition devices. The final probe
output is a square wave with a frequency that varies with water content
and has an approximate range of 700 to 1500Hz.
Calibration measurements were performed on the unbound base
layer material. Measurements were performed for a volumetric moisturecontent ranging approximately from 1 to 20 percent and were compared
with values obtained from oven drying samples taken from near the
probes. A wooden calibration box (0.84- by 0.85- by 0.45-m) was
constructed using none metallic fasteners and was used in the calibration
process. The calibration box allows four probes, as shown in Figure 6, to
be tested simultaneously without adversely affecting the measurements.
To evenly mix water with soil, a 0.4m3concrete mixer was used to mix
approximately 40kg of soil per batch. Soil was placed in the calibration
box in three layers. Each layer, approximately 150mm thick, was placed
and compacted before the following layer was placed. The probes were
placed within the second layer, separated by at least 150mm before this
layer was compacted. After testing, a sample of soil (approximately 3kg)
was removed from the middle layer and placed in an oven at 110oC to
determine the gravimetric moisture content.
An equation was developed for each type of TDR that relates the
21B volumetric moisture content with the measured property (effective
length, le, for TDR CS610 and period of oscillation, t, for TDR CS615)based on the calibration testing (6).
The probes were handled carefully during installation so that the
metallic waveguides would not be bent. The following steps were
followed during installation:
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A hole that allows the placement of the TDR horizontally was
prepared.
If large aggregates were present, sand was placed under the TDR
head.
After placing the TDR, the soil was compacted very carefullyaround and over the probe. The response of the probe waschecked.
All cables were protected by nonwoven geotextile all the way
until it reaches the conduit.
Figure 6. TDR calibration box
All TDR probes performed well, as only 2 percent were damaged
during construction, 5 percent were damaged after one year of service,
10 percent were damaged after two years of service, and 12 percent were
damaged after three years of service.
Vibrating Wire Strain Gauges
The Geokon model VCE-4200 Vibrating Wire Strain Gauge wasselected to be installed in the subgrade and in the cement-stabilized
aggregate layers of the pavement sections. This model is designed
primarily for long-term strain measurements in mass concrete. It is
152mm long and is widely used for strain measurements in different civil
engineering applications. It is extra rugged to resist bending and has
relatively large flanges to provide sufficient engagement area. The
advantage of the vibrating wire strain gauge over more conventional
electrical resistance (or semi-conductor) types lies mainly in the use of
frequency, rather than voltage, as the output signal from the strain gauge.Frequencies may be transmitted over long cable lengths without
appreciable degradation caused by variations in cable resistance, contact
resistance, or leakage to ground. Vibrating wire gauges also have
excellent long-term zero stability.
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The principle of vibrating wire is that a length of steel wire is
tensioned between two end blocks that are firmly in contact with the soil.
Deformations in the soil would cause the two end blocks to move relative
to one another, altering the tension in the steel wire. This change in
tension is measured as a change in the resonant frequency of thevibration of the wire. Excitation and readout of the gauge frequency is
accomplished by electromagnetic coils that are located close to the wire.
Calibration of the vibrating wire strain gauges was performed using
the same procedure performed for calibrating the HMA strain gauges.
Trenches for the wire were dug to location of the sensor (Figure 7).
They were then filled with a thin layer of sand. For each gauge, the
smallest possible hole was dug (just enough to fit the sensor) in the
finished subgrade layer. During excavation, extra care was taken to
minimize the disturbance of the soil and keep the size of the hole to a
minimum. The gauge was placed on a very thin layer of sand, then back-
filled with the excavated material in small layers and was hand compact
carefully. The wire was run through the trenches and covered with a
layer of geosynthetic, previously cut to the right size.
Figure 7. Installation of vibrating wire strain gauges
The vibrating wire strain gauges had a mediocre performance, as 11
percent were damaged during construction, 16 percent were damaged
after one year of service, 35 percent were damaged after two years of
service, and 61 percent were damaged after three years of service.
Data Acquisition SystemThe data acquisition system used in the Virginia Smart Road is
shown in Figure 8. It consists of two main Analog-to-Digital units
(DaqBook 200 and WaveBook 512). The DaqBook 200 is used to
acquire static data (e.g., temperature, moisture, frost depth), while the
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WaveBook 200 is used to acquire dynamic data induced by moving truck
loads (e.g., pressure and strain)
The DaqBook 200 module, from IOtech Inc., is a standalone device
that connects to a PC through its parallel port and can transfer data
bidirectionally at a speed up to 800kbytes/s for an enhanced parallel port(EPP). Data is stored in the PCs memory or hard disk rather than in the
DaqBook. In order to make the transducer output signal compatible with
the Analog to Digital Converter (ADC) input signal, signal-conditioning
cards are used. These cards were provided by the same manufacturer,
thus they are fully compatible with the DaqBook 200.
The signal-conditioning cards, referred to as DBK cards, are daisy-
chained in a special expansion chassis that is connected to the DaqBook
through a single cable that provides both the analog inputs and the
control signals. To guarantee a correct communication with the
DaqBook, each DBK card mounted in the daisy chain has its unique
channel number (fixed using a jumper on the card).
Figure 8. Data acquisition system
The WaveBook 512, also a product of IOtech Inc., is a Digital Signal
Processing-based, 12-bit, one million samples per second data
acquisition system. It connects to a PC via an ISA plug-in interface card
(WBK21) containing an enhanced parallel port (EPP) for a bi-directional
data transfer speed up to 2000 kbytes/s.
In order to make the transducer output signal compatible with the
ADC input signal, signal-conditioning modules are used. These modules
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were provided by the same manufacturer, IOtech Inc., thus they are fully
compatible with the WaveBook 512.
The signal-conditioning modules, referred to as WBK modules, are
daisy-chained using two different sets of cables: expansion control cables
used to carry the control messages and coax cables with BNC connectorsused to carry the analog signal from the input channel to the ADC. The
order in which the WBK modules appear in the daisy chain fixes their
respective channel numbers. The main unit (i.e., the WaveBook 512) is
always number 0. Two WBK types were used: WBK 10 for pressure
measurements and WBK 16 for strain measurements.
To further protect the whole system, spike protection cards were
inserted between the transducers and signal conditioning modules. These
cards also provide the proper power supply to the transducers.
Developed SoftwareIn order to collect the data, organize it, display it for analysis, and
store it in a database, several software were developed. The first, called
SmartAcq, acquires the data with the desired settings. The second, called
Smart Organizer, manages and organizes the collected raw data. The
third, called Smart Wave, displays and processes the raw data. Two
databases were also developed using Microsoft Access to store the
temperature data and the dynamic data (from the truck test) in order toeasily retrieve any needed information.
SmartAcq: In order to provide more customized control on the data
acquisition proceduresuch as collecting the static data at specific
intervals, collecting the dynamic data only when there is a traffic load,
applying the different control signals for a proper operation of the
transducers, and specifying the names assigned to the different output
filesa special data acquisition software, SmartAcq, was developed
along with other utilities to manipulate the collected data. SmartAcq is a
Windows-based Single Document Interface (SDI) program that provides
a user interface to configure and operate the whole data acquisition
system (DaqBook and WaveBook) at the same time. SmartAcq was
created with Microsoft Visual C++ 5.0; the control of the data acquisition
system was done through a library provided by the manufacturer, which
communicates directly with the device drivers.
Smart Organizer: Considering the large number of instruments used
at the Virginia Smart Road, a large amount of data is collected and stored
every day. Therefore, the need of managing the data is required tosimplify data analysis. For that purpose, a software, Smart Organizer,
was developed. Using the Smart Organizer Software, all raw files are
divided into several files according to the section number, the date of
data collection, and the collected data type (temperature, moisture,
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dynamic data, etc). All these files are automatically stored in specially
named folders.
SmartWave: Dynamic data consists of strain and pressure
measurements collected during controlled truck testing. During the test,
the data is saved in the form of waves representing strain or pressureversus time. The collected waves are typically sampled at a frequency of
500Hz and a duration of two seconds starting 0.2s before the trigger
point. Therefore, for each instrument triggered during the test, a 1000-
sample wave is stored in a dynamic data binary file. At an early stage in
the project, these waves were visualized using a spreadsheet application.
This solution was found to be cumbersome because of the large number
of waves collected during each test. For that reason, a program called
SmartWave was developed specifically to process these binary files.
SmartWave is a Windows based Multiple Document Interface (MDI)
application that allows visualization and analysis of the dynamic data
stored in the binary files. SmartWave provides a set of commands to
easily navigate among the different waves stored in the binary file along
with some commands for customizing data display and for data
processing. The program also provides general information about the
test in conjunction with information specific to the displayed wave.
There are mainly two purposes for data processing: enhance the
quality of the collected data and automatically extract interesting featuresfrom it. Data enhancement consists mainly of filtering the wave to
remove any unwanted noise, which becomes significant when the
instrument response is relatively low.
One of the interesting features that could be extracted from the
instrument responses is the extremum value corresponding to each axle.
The extremum could be a maximum for pressure cells and either a
maximum (corresponding to compression) or a minimum (corresponding
to tension) for strain gauges. Automatic extraction of these extremum
points was developed in the software specifically for a six-axle truck.
The extremum extraction procedure could be customized to extract data
corresponding only to a range of waves. Moreover, the extracted peaks
could correspond to the single, tandem, or tridem axles or in any
combination. The output of the extraction procedure is saved into a file
that could be either in a table format, easily incorporated in reports, or in
a database format to be imported to the global database developed to
store the instrument responses.
Databases: The collected data is organized into two interconnecteddatabases: Loading database and Environmental database. The loading
database mainly contains the peak responses (maxima for pressure cells
and minima/maxima for strain gauges) collected from every triggered
instrument in the pavement and for each axle in the truck and trailer.
Each data record has a timestamp corresponding to the trigger time of the
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instrument in addition to the instantaneous speed of the truck.
Furthermore, this database contains static information about the test
characteristics, sections, layers and instruments to help the user in
extracting the data.
The environmental database contains temperature and moisture datacollected for each instrument at regular time intervals (15 min for
temperature and one hour for moisture). For this case also, each record
will contain a timestamp corresponding to the data collection time. This
database shares the information about sections, layers, and instruments
with the loading database.
A set of simple queries was developed to let the user extract data
based on a given search criteria, such as instrument type, test properties,
sections, layers, etc. Besides the detailed output of the queries, the user
is given the option to extract grouped data. For the loading database,
responses from repeated runs can be grouped together to yield a single
minimum or maximum point per test, layer, and axle. For the
environmental database, the user can group the data to get the minimum,
maximum, or average point per layer for time intervals much larger than
the acquisition intervals. In addition, a query will provide the
temperature/moisture profile for a given time.
These two databases were developed using Microsoft Access. Since
the data search using this software needs prior knowledge of thissoftware, a user interface was built, using visual C++, to facilitate data
search criteria input and therefore data extraction.
Measured Horizontal Transverse Strain in the
HMA Layer during Construction
During the construction of the 38-mm wearing surface of Section B,
the strain gauges placed under this layer were activated to measure how
much horizontal strain the material undergoes during compaction using a
steel drum compactor. The compactor operator was not aware that data
was being collected and was performing the compaction according to the
specified pattern. Data was collected during the whole compaction
process and thousands of waveforms were collected from the strain
gauges. SmartWave was then used to analyze the data and to extract the
maximum measured horizontal transverse strain and the maximum
measured horizontal longitudinal strain. Figure 9 shows the acquired
waveform for the maximum measured horizontal transverse strain. Inthis Figure, the strain on the vertical axis is in micro-strain ( m/m),
while the time on the horizontal axis in seconds (sec). The measured
horizontal transverse strain is in tension. After passage of the compactor,
the strain slowly decreased but did not reach zero. The measured
maximum horizontal transverse strain was 1,090 m/m. After the
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compactor passed, this strain decreased to 37 m/m. In some of the
compaction passes, the compactor operator used vibrations. Figure 10
shows the acquired waveform for the maximum measured horizontal
transverse strain when vibrations were used. It is interesting to note that
the frequency of vibration could be measured for the acquired waveformand it was determined to be 40Hz (2,400 vibrations per minute). The
shape of the horizontal transverse strain curve is the same as in the case
when no vibration was used. However, the maximum tensile strain when
vibration was used was 1,630 m/m, which is around 1.5 times the
measured strain when no vibration was used. When vibration was used,
the strain decreased to 73 m/m, which is around two times the strain
measured for the case when no vibration was used.
0
200
400600
800
1000
1200
1400
1600
1800
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1Time (sec)
Strain(m/m)
Figure 9. Measured horizontal transverse strain under the wearing
surface during compaction (no vibration)
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0
200
400
600
800
1000
1200
1400
1600
1800
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1Time (sec)
Strain(m/m)
Figure 10. Measured horizontal transverse strain under the wearing
surface during compaction (with vibration)
Figure 11 shows the acquired waveform for the maximum measured
horizontal longitudinal strain. The measured horizontal longitudinal
strain is compression strain, then it becomes a tensile strain, and finally it
ends as a compression strain. The longitudinal strain returns to its initial
value, which means no permanent deformation has been developed. The
measured maximum horizontal tensile longitudinal strain was
4,356 m/m, which is around 3.9 times more than the measured
horizontal transverse strain. This variance is explained by the fact that
the contact area of the steel drum compactor is almost rectangular in
shape with the smaller dimension in the longitudinal direction, which
means that greater strain is induced in this direction because of
compaction. Figure 12 shows the acquired waveform for the maximummeasured horizontal longitudinal strain when vibration was used. The
measured frequency of vibration from this graph was also 40Hz. The
shape of the horizontal longitudinal strain curve is the same as in the case
when no vibration was used. However, the maximum tensile strain when
vibrations were used was 7,214 m/m, which is around 1.7 times the
measured tensile strain without vibration. The same was found for the
compression part of the longitudinal strain. When no vibration was used,
the maximum compression part was 1,314 m/m, while a maximum
compression strain of 2,246 m/m was measured when vibration wasused.
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-2500
-1500
-500
500
1500
2500
3500
4500
5500
6500
7500
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Time (sec)
Strain(m/m)
Figure 11. Measured horizontal longitudinal strain under the
wearing surface during compaction (no vibration)
These measurements of horizontal strain during the construction of
the wearing surface showed that the HMA is subjected to very high
horizontal strains during construction, especially when vibration is usedin the compaction process. A question emerges as to how these high
strains affect the long-term performance of the pavement. It is
anticipated that these high strains may induce microcracks during the
compaction process, which may grow and propagate during the life of
the pavement. Since vibration was found to induce much higher strains
in the HMA, its use during compaction should be carefully studied to
evaluate its overall effectiveness and benefits to the pavement
performance.
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-2500
-1500
-500
500
1500
2500
3500
4500
5500
6500
7500
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Time (sec)
Strain(m/m)
Figure 12. Measured horizontal longitudinal strain under the
wearing surface during compaction (with vibration)
Pavement Loading
Once all the pavement sections were constructed, a testingexperimental program was conducted at the Virginia Smart Road with an
overall purpose of quantifying the pavement response to truck loading
under different environmental conditions. The truck used for testing was
an International 8200 Class 887 with an engine power of 350hp at
2,100rpm. Michelin 11R22.5 XZA-1 tires supported the steering axle
and General 11R22.5 tires supported the tandem axle. The trailer had
Goodyear 10.00R15TR tires for its tridem axle wheels. The
experimental program consisted of three different tire inflation pressures
(724kPa, 655kPa, and 552kPa), three different load configurations (L1,L2, and L3), and four different speeds (8km/h, 24km/h, 40km/h, and
72km/h). Concrete barrier walls (Jersey walls) were used to load the
truck. Load L1 used nine barrier walls, Load L2 used four barrier walls,
and for load L3, no barrier walls were used. Each barrier wall weighs
approximately 2,265kg. Speed is measured using a global positioning
system (GPS), with an accuracy of 0.4km/h.
Results and Analysis
This paper presents findings from the measured flexible-pavement
response to truck loading under different environmental conditions as
obtained from Sections A and L of the Virginia Smart Road. These
findings are essential for flexible-pavement analysis and design. The
first part of the Results and Analysis Section shows how the vertical
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compressive stress pulse induced by truck loading varies with truck
speed and depth below the pavement surface. The measured pulse is
important for laboratory testing of HMA as well as for theoretical
modeling. The second part of the Results and Analysis Section deals
with the effects of temperature, speed, and tire inflation pressure on themeasured vertical compressive stress and horizontal transverse strain
under the HMA layer. The last part of the Results and Analysis Section
compares the measured horizontal strain and measured vertical
compressive stress under the HMA layer with those calculated using
finite element (FE) modeling.
Measured Vertical Compressive Stress Pulse versus Depth and SpeedLaboratory measurements of HMA mixes as well as advanced
theoretical modeling of pavements make use of a Haversine or a
sinusoidal type of loading to study the behavior of HMA. This loading
shape and its duration were mainly developed based on research
performed in the 1970s. In 1971, Barksdale used finite element (FE)
modeling and elastic theory to calculate the vertical compressive stress
pulse width as a function of speed and depth (7). He found that the pulse
shape varies from approximately a sinusoidal one at the surface to nearly
a triangular one at depths below approximately the middle of the base.
The pavement geometry was found not to affect the pulse shape andduration. Change of the resilient modulus values of the pavement
materials because of a change in environment was found also not to
affect the pulse shape and duration. With these findings, Barksdale was
able to develop a chart of the vertical sinusoidal and vertical triangular
pulses time as a function of vehicle speed and depth beneath the
pavement surface. These pulse times were empirically corrected for
viscous effects and inertia forces using results from field measurements
at the AASHO Road Test.
Data collected from the Virginia Smart Road allowed the
reinvestigation of this topic. In fact, data from truck tests using a tire
pressure of 724kPa and a front tire weight of 25.8kN performed at four
different target speeds of 8km/h, 24km/h, 40km/h, and 72km/h were
analyzed to measure the pulse duration versus speed at five different
locations underneath the pavement surface: 40mm, 190mm, 267mm,
419mm, and 597mm. Figure 13 and Figure 14 show the measured
compressive stress pulse at 40 mm, 190mm, 267mm, 419mm, and
597mm underneath the pavement surface, at speeds of 8km/h and72km/h, respectively. In these figures, the x-axis represents the time in
seconds, while the y-axis represents the normalized vertical compressive
stress (vertical stress divided by maximum measured vertical stress).
The normalization was performed to be able to compare between the
different tests. Since the tests were performed at different periods during
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the day, the testing temperature was different, which affects the resilient
modulus of the HMA layer. This change in the modulus produces
different vertical stress values, but it was found that this change does not
affect the shape and duration of the normalized compressive stress pulse
(8). This finding is in agreement with Barksdale findings.The measured pulse shape for all performed tests was not
symmetrical. Before the wheel reaches the location of the pressure cell,
the pulse is flat around zero. As soon as the wheel approaches the
instrument location, the vertical stress increases until it reaches a
maximum when the wheel is right above the pressure cell itself (loading).
When the wheel is moving away from the instrument (unloading), the
shape of the pulse does not follow the exact same path acquired during
the loading phase (asymmetry of the response). The shape of the pulse is
more elongated during the unloading phase due to the viscoelastic nature
of the material. In addition, the vertical compressive stress does not
return to zero after unloading. Some residual vertical stresses occur in
the pavement materials. These residual stresses increased with a
decrease in the speed as shown in the figures.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.80.9
1
-0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4Time (sec)
Nor.Vert.Comp.Stress
40mm
190mm
267mm
419mm
597mm
Figure 13. Measured normalized compressive stress pulse at 8km/h
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0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1
Time (sec)
Norm.Vert.Comp.Stre
ss
40mm
190mm
267mm419mm
597mm
Figure 14. Measured normalized compressive stress pulse at 72km/h
A haversine equation, Equation 2, was used to represent the normalized
compressive stress pulse, where d is the duration of the pulse.
)d
t
*2(siny(t)
2+
=
(2)
Figure 15 and Figure 16 show the measured normalized compressive
stress pulse and its chosen haversine representation for the 8km/h test at
a depth of 40mm and 597mm below the surface, respectively. From
these figures, it can be seen that Equation 2 is a good approximation of
the normalized compressive stress pulse, especially near the pavement
surface. Haversine load durations at all the speeds were used to develop
power regression equations relating the haversine duration pulse with
speed for each location underneath the pavement surface, Figure 17.Haversine duration times obtained from the developed regression
equations were compared to those suggested by Barksdale in 1971, Table
2. From this table, it is noted that Barksdale duration times are similar to
the ones obtained from the Virginia Smart Road for the 40mm and
190mm deoths. At greater depths, Barksdale duration times are almost
half of those obtained from the Virginia Smart Road.
Effect of Speed and Tire Inflation Pressure on Measured Vertical
Compressive Stress and Measured Horizontal Transverse Strain underthe HMA Layer
Instrument responses from Section A, induced from the steering axle
tire with a load of 25.8kN, were used to study the effect of speed and tireinflation pressure on the measured vertical compressive stress and
measured horizontal transverse strain under the HMA layer.
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0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1
Time (s)
Norm.Vert.Comp.Stre
ss Measured
Haversine
Figure 15. Measured normalized compressive stress pulse and its
haversine representation for the 8km/h test at 40mm
0
0.10.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6
Time (s)
N
orm.Vert.Comp.Stress
Measured
Haversine
Figure 16. Measured normalized compressive stress pulse and its
haversine representation for the 8km/h test at 597mm
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y = 9.426x-0.979
y = 7.306x-0.974
y = 2.558x-0.903
y = 1.896x-0.958
y = 1.663x-1.041
0.01
0.1
1
10
0 10 20 30 40 50 60 70 80Speed (km/h)
HaversineTime(sec)
597mm419mm267mm190mm
40mm
Figure 17. Haversine pulse duration versus speed for different depths
Table 2. Comparison between haversine loading times suggested by
Barksdale with those obtained from the Virginia Smart Road
72km/h 24km/h
Depth (mm) Smart Road Barksdale Smart Road Barksdale
40 0.019 0.023 0.06 0.075
190 0.031 0.032 0.09 0.10
267 0.054 0.038 0.14 0.12
419 0.113 0.055 0.33 0.15
597 0.142 0.075 0.42 0.21
Effect of Speed on Measured Vertical Stress: To study the effect of
speed on the measured stresses under the HMA layer, data from testswith similar load and tire inflation pressure performed at different speeds
were compared.
Data obtained from the tests performed at the same target speed was
correlated with temperature measured under the HMA layer. The
measured vertical stress under the HMA layer was found to increase
exponentially with an increase in the measured temperature. Figure 18
shows the measured data for a tire inflation pressure of 724kPa. From
this figure, it is concluded that speed does not affect the magnitude of the
compressive vertical stress under the HMA layer, which is demonstratedby the developed regression equation for all tested speeds. The high R
2
value (0.92) indicates that the measured vertical compressive stress is
independent of the truck speed. On the other hand, the pulse width ofthisvertical stress increases with a decrease in speed as shown in Figure 17.
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= 28.3e0.0565T
R2= 0.92
0
20
40
60
80
100
120
140
160
180
200
0 5 10 15 20 25 30 35 40
Temperature (C)
VerticalStress(kPa)
8km/h
24km/h40km/h
72km/h
Figure 18. Measured vertical compressive stress under HMA layer
for all tested speeds
Effect of Speed on Measured Horizontal Transverse Strain: The
procedure discussed for evaluating the effect of speed on the measuredvertical stress was also used to evaluate the effect of speed on the
measured horizontal transverse strain under the HMA layer. Figure 19
shows the variation of the horizontal transverse strain under the BM-25.0
because of the front tire for truck speeds of 8km/h, 24km/h, 40km/h, and
72km/h. As expected, the strain was found to increase exponentially
with an increase in temperature. It was also found that speed does affect
the measured horizontal transverse strain: as speed decreases, the
measured strain significantly increases. Exponential regression
equations were developed for each speed, see Figure 19. When these
equations are used with a temperature of 25oC, the strain measured at
8km/h was found to be 2.7 times greater than that at 72km/h.
Effect of Tire Inflation Pressure on Measured Vertical Stress and
Measured Horizontal Transverse Strain under HMA Layer: To study the
effect of tire inflation pressure on the measured vertical compressive
stress and measured horizontal transverse strain under the HMA layer
because of the front axle, all tests performed at different tire inflation
pressures (724kPa, 665kPa, and 552kPa) were analyzed. It was foundthat tire inflation pressure in the range of 552 to 724kPa did not affect the
measured vertical compressive stresses; neither did it affect the measured
horizontal transverse strain under the HMA layer.
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0
20
40
60
80
100
120
140160
180
200
10 15 20 25 30 35 40
Temperature (C)
Strain(m/m)
8km/h
24km/h40km/h
72km/h
Figure 19. Measured horizontal transverse strain under HMA layer
at different speeds
Comparison between Calculated and Measured Pavement Responses
A 3D finite element (FE) mesh, simulating Section A, was developedto run with ABAQUS version 6.3, Figure 20. The assumptions made in
the presented FE model were intentionally simplified to exactly resemble
the layered elastic theory, which is among the most popular methods for
pavement response prediction. Eight-node, first-order brick element with
reduced integration (C3D8R) was selected for use in this study. In
addition, infinite elements (CIN3D8) were used in all models to simulate
the far-field region in the horizontal directions. CIN3D8 is an 8-node 3D
linear infinite element. All interfaces were modeled as fully bonded.
Using the symmetry in loading and geometry, only half the model was
simulated, which required imposing a boundary on the plane of
symmetry (plane in the longitudinal direction) in the transverse direction.
The contact area of the applied load was modeled using a rectangular
shape with a width to length ratio of 0.82.
Elastic material properties of the different layers were determined
either from FWD testing or from laboratory testing. The resilient moduli
of the different layers, except for the HMA layer, were kept constant and
were not changed as a function of temperature. On the other hand,resilient modulus of the HMA layer was changed with temperature
according to laboratory-determined results at 5oC, 25
oC, and 40
oC.
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Figure 20. 3D finite element mesh
Figure 21 shows the measured and calculated horizontal transverse
strain under the HMA layer induced by the single load of 25.8kN. It is tobe noted that the graphs of the measured horizontal transverse strains at a
truck speed of 8km/h and 72km/h represent the regression equations
found to best fit the measured data (Figure 19). The calculated
horizontal transverse strain under the HMA layer was found to vary
linearly with temperature under the HMA layer. The calculated
horizontal transverse strain is not a function of the truck speed since the
load is assumed to be stationary. However, the measured horizontal
transverse strain was found to vary significantly with truck speed. From
Figure 21, one can note also that the measured horizontal transversestrain at a truck speed of 8 km/h is smaller than the calculated one using
the elastic layered theory at temperatures below 15oC. Above 15
oC, the
measured strain at a truck speed of 8km/h becomes much higher than the
calculated one. At a truck speed of 72km/h, the measured horizontal
transverse strain is smaller than the calculated one at temperatures below
approximately 28oC, above which the measured strain becomes much
higher. From Figure 21, it is also noted that the calculated horizontal
transverse strain is not as much affected by change in temperature as wasmeasured in the field. In fact the calculated strain approximately
doubled from 0oC to 40
oC. On the other hand, the measured horizontal
strain increased by approximately 117 times from 0oC to 40
oC when
driving at a speed of 72km/h and increased by approximately 35 times
when driving at 8km/h.
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0
50
100
150
200
250
300
0 5 10 15 20 25 30 35 40
Temperature (C)
Strain(m/m)
3D FE
Measured 8km/h
Measured 72km/h
Figure 21. Measured and calculated horizontal transverse strain
under the HMA layer for a single load of 25.8kN
Figure 22 shows the measured and calculated vertical compressive
stress under the HMA layer induced by the single load of 25.8kN.
Again, the graph showing the measured vertical compressive stress
corresponds to the best regression equation that represents the measured
data (Figure 18). It was found that the calculated response varies linearlywith temperature. The calculated vertical compressive stress was found
to be higher than the measured one for temperatures below 35oC, above
which the measured one becomes higher.
Improved Modeling Approach:Based on the results of the presentedFE model, it was clear that to accurately simulate field conditions,
several assumptions made in the modeling process need to be adjusted.
Hence, to improve the accuracy of the theoretical approach in predicting
pavement response, the following modifications were incorporated into
the FE model, which simulates Section L (see Table 1).
While an elastic constitutive model was still assumed for the
granular layers and subgrade, a viscoelastic constitutive model was
selected to simulate the behavior of HMA layers. Characterization of the
viscoelastic properties of HMA was conducted in the laboratory on field
cores. Testing of the HMA surface and base mixes was performed using
indirect creep compliance test. Experimental data was first obtained by
performing creep compliance tests at different temperatures, then shifting
the data to a reference temperature. For the viscoelastic behavior,ABAQUS assumes that a Prony series expansion adequately describes
the material response with respect to time:
=
+=
N
1i
/t
i0 )e-(1DDD(t)i (3)
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0
50
100
150
200
250
300
0 5 10 15 20 25 30 35 40Temperature (C)
Stress(kPa)
3D FE
Measured
Figure 22. Measured and calculated vertical compressive stress under
the HMA layer for a single load of 25.8 kN
To obtain the material constants in Equation (3), a set of relaxation
times were assumed to cover the range of testing, and the fitting process
was then reduced to find the coefficients of the Prony series through a
linear least squares curve fit. In general, seven to ten Prony series terms
were used to obtain an accurate fit; see Figure 23 for illustration.
The creep compliance was then used to predict the relaxation
modulus, E(t). The interconvension process was based on the
approximation developed by Park and Kim (9). Assuming that both the
creep compliance and the relaxation modulus may be described by apower law model, the relationship between the two material properties is
defined as follows (9):
=
n
nsin)t(D)t(E (4)
where D(t) is the creep compliance at time t; and D i(Prony series
coefficients) and i (relaxation times) are material constants.
where n are positive constants, obtained by fitting a localized power law
model (D(t) = D1tn) to the different regions of behavior, see Figure 24 for
illustration.
Al- Qadi, Loulizi, Elseifi, Lahouar
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1.0E-12
1.0E-11
1.0E-10
1.0E-09
1.0E-08
1.0E-07
1.0E-04 1.0E-02 1.0E+00 1.0E+02 1.0E+04 1.0E+06 1.0E+08
Reduced Time (sec)
CreepCompliance(1/Pa)
Measured-25
Model-25
Figure 23. Prony series fitting of the measured creep data (surface
mix T = 25C)
y = 2E-10x0.5389
R2= 0.98
0.0E+00
2.0E-11
4.0E-11
6.0E-11
8.0E-11
1.0E-10
1.2E-10
1.4E-10
1.6E-10
1.8E-10
2.0E-10
0.00E+00 2.00E-01 4.00E-01 6.00E-01 8.00E-01 1.00E+00 1.20E+00
Time (sec)
CreepCompliance(1/Pa)
Figure 24. Localized power law model fitted to the creep compliance(surface mix T = 25C)
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Similarly, a Prony series function was fitted to the relaxation
modulus variation with time. Then, the bulk [K(t)] and shear [G(t)]
moduli variation with time were estimated using the following relations
assuming that Poissons ratio ( ) does not change with time (9):
)21(3
)t(E)t(K
= (5)
)1(2
)t(E)t(G
+= (6)
To accurately simulate the movement of the tire over the loading
area, vertical stress measurements at the Virginia Smart Road at the
bottom of the wearing surface (depth = 38.1mm) were discretized intosmall rectangular shapes in the longitudinal direction. For the simulated
speed (8km/hr), measured vertical stress was considered after first being
normalized with respect to the maximum-recorded value. The
normalized vertical stress was then multiplied by the average tire
pressure expected during movement.
Elastic element foundations were used to simulate the subgrade
support of the pavement structure. These elements, which act as
nonlinear springs to the ground, provide a simple way of including the
stiffness effects of the subgrade without fixation of nodes at the bottom
of the model. A medium level of resistance corresponding to a modulus
of subgrade reaction of 175N/cm3was assumed for the considered
section. All contacts between the layers were assumed to be of a friction
type (Mohr-Coulomb theory), with a friction angle of 45deg.
Results of the developed FE model were compared with actual stress
and strain measurements from truck testing at the Virginia Smart Road.
Pavement responses to vehicular loading were compared at a speed of
8km/hr. Figure 25 compares the measured and calculated transversestrain under the HMA layer for a single load of 25.8kN. Again, the best
regression equation that represents the measured transverse strain for this
section was used. As Figure 25 indicates, the use of a viscoelastic
constitutive model to simulate HMA materials provided a more accurate
rendition of the pavement response at low and intermediate temperatures
(below 20oC). However, some discrepancies were still observed between
the measured and the calculated transverse strain at high temperatures
(above 20oC).
Al- Qadi, Loulizi, Elseifi, Lahouar
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0
50
100
150
200
250
300
350
400
450
500
5 10 15 20 25 30 35 40
Temperature (C)
Strain(m/m)
3D FE
Measured
Figure 25. Measured and calculated horizontal transverse strain at
the bottom of the BM-25.0
Conclusions and Recommendations
Testing at the Virginia Smart Road allowed verification of several
hypotheses related to flexible-pavement design. The following findings
and recommendations are presented:
Virginia Smart Road
With proper calibration procedures, installation, and good data
management, instrumentation is a feasible tool to measure pavement
response to loading.
Compaction produces high horizontal strains in the HMA, especially
when vibration is used. It was found that a haversine equation well represents the measured
normalized vertical compressive stress pulse for a moving vehicle.
As would be expected, temperature significantly affects measured
vertical compressive stress and measured horizontal transverse strain
under the HMA layer.
Speed significantly affects measured horizontal transverse strain
under the HMA layer. Speed does not affect measured compressive
vertical stress in pavement layers, but it affects the loading pulse
duration.
It appears that tire inflation pressure has little effect on pavement
measured stresses and strains at a depth of 190 mm.
Even though the resilient modulus of HMA varies exponentially with
temperature, the calculated responses using linear elastic theory were
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References
Al- Qadi, Loulizi, Elseifi, Lahouar
found to vary linearly with temperature. However, measured
responses were found to be better represented as a function of
temperature using exponential regression equations.
The linear elastic theory appears to overestimate pavement responses
at low temperatures, but significantly underestimate these responsesat high temperatures.
An improved prediction of pavement responses was achieved by
modifying the bonding conditions at the interfaces, and by modeling
HMA as a viscoelastic material.
Although modeling HMA using the viscoelastic theory provides an
improved description of the material response at low and
intermediate temperatures (below 20oC), some discrepancies were
still noticed at high temperatures. It is recommended that moretheoretical modeling, which considers the anisotropic behavior of the
material, and the dynamic nature of the load, be performed to
improve the accuracy of theoretical models.
1. N. Tabatabaee, I.L. Al-Qadi, and P.E. Sebaaly, Field Evaluation of Pavement
Instrumentation Methods, Journal of Testing and Evaluation, JTEVA, ASTM, Vol.
20, No. 2, pp. 144-151, March 1992.2. H.B. Baker, M.R. Buth, and D.A. Van Deusen, Minnesota Road Research Project:
Load Response Instrumentation Installation and Testing Procedures, Final Report
No. MN/PR-94/01, Minnesota Department of Transportation, 1994.3. S. Sargand, Development of an Instrumentation plan for the Ohio SPS Test
Pavement, Final Report No. FHWA/OH-94/019, Ohio Department ofTransportation, 1994.
4. WesTrack Team, Accelerated Field Test of Performance-Related Specifications ForHot-Mix Asphalt Construction, Interim Report for Contract No. DTFH61-94-C-
00004, 1996.5. T.L. Brandon, I.L. Al-Qadi, B.A. Lacina, and S.A. Bhutta, Construction and
Instrumentation of Geosynthetically Stabilized Secondary Road Test Sections,Transportation Research Record 1534, pp. 50-57, 1996.
6. B.K. Diefenderfer, I.L. Al-Qadi, and A. Loulizi, Laboratory Calibration and FieldVerification of Soil moisture Content Using Two Types of Time-Domain
Reflectometry Probes, Transportation Research Record 1699, pp. 142-150, 2000.7. R.G. Barksdale, Compressive Stress Pulse Times in Flexible Pavements for Use in
Dynamic Testing, Highway Research Record 345, Highway Research Board, pp.
32-44, 1971.
8. A. Loulizi, I.L. Al-Qadi, S. Lahouar, and T.E. Freeman, Measurement of Vertical
Compressive Stress Pulse in Flexible Pavements and Its Representation for Dynamic
Loading Tests, Transportation Research Record, No. 1816, pp. 125-136, 2002.9. Y.R. Kim, J.S. Daniel, and H. Wen, Fatigue Performance Evaluation of Westrack
Asphalt Mixtures Using Viscoelastic Continuum Damage Approach, Final Report,Report No. FHWA/NC/2002-004, 2002.
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Discussion
PROFESSOR STEPHEN BROWN In my experience, one needs to
follow rather careful calibration techniques for stress cells or pressurecells. You mentioned that you have been taking measurements in asphalt,
which incidentally we have also done at Nottingham but not very
comprehensively and also some time ago. Can you say something about
the steps you took to calibrate your pressure cells? The reason I ask is
that I am slightly puzzled by the fact that the stress measurements did not
respond to changes in speed the point you made in your conclusions. It
seems to me illogical.
PROFESSOR IMAD AL-QADI First of all, I truly believe that the
speed should not affect the pressure unless you have dynamic movement.
However, it is the duration of loading that gets affected in hot-mix
asphalt rather than the magnitude. As the speed increases, the loading
pulse becomes narrower, and as the speed decreases, the loading pulse
becomes wider (or the loading time becomes greater). A couple of years
ago at TRB, we presented a paper on this matter and it was published in
TRR 1806. As for the calibration of the pressure cells, calibration curves
were developed by the manufacturer in order to convert the measuredvoltage from the pressure cell to pressure. The manufacturer calibration
procedure consisted of placing each pressure cell between two rigid
plates, which had inflatable rubber membranes. The pressure in these
membranes was gradually increased and held constant for a specific
time, and then the voltage was measured. This process was repeated
until the full range of the pressure cell was covered. Other approaches
involved placing the pressure cells in pressurized chamber and changing
the pressure. To evaluate the manufacturer calibration curves, testing
was performed at Virginia Tech using a Gyratory compactor first, then a
servo-hydraulic machine was used for the calibration. Small differences
were found between the manufacturer calibration curves and those
obtained using the Gyratory compactor. This difference diminishes at
high pressure values. At low pressure, the difference is considered
significant due to the edge effect and contact areas between the puck and
the pressure cell. Therefore, another test is needed in order to verify the
manufacturer calibration curves. The pressure cells are then tested using
a servo-hydraulic machine. This machine can apply a constant rate ofloading and unloading. The pressure cells were evaluated under a
combination of different metal loading plate sizes, different layers of
rubber membrane are placed between the pressure cells and the loading
Virginia Smart Road
plates, and different loading rates. It was concluded that the relationship
between the pressure cell output voltage and the applied pressure is
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indeed linear and independent of the loading rate, and that the calibration
curves provided by the manufacturer were acceptable. As mentioned in
the paper, the pressure cell transducer, which is a way from the circular
plate, was buried approximately 50mm deeper than the circular plate to
prevent any interference of measurements at the interface. All pressurecells were checked for response after installation. Of course, the
sensitive side is the pressure cell that we placed facing down. Im not
sure if thats how you used it in your case or not.
PROF. BROWN We always have it facing up so that you can see what
you are putting on top of the diaphragm.
PROF. AL-QADI Thats most definitely true when measuring the
pressure in soils; but I have to disagree when it comes to hot-mix asphalt.
To prevent any high-pressure concentration due to sharp aggregate, while
ensuring accurate measurements, the cell sensitive surface must face
down. For subgrade, a sand layer can be used under the sensitive
surface to protect it from sharp large angular aggregate; a good contact
between the cell face and the sand layer should be ensured. When the
cell was placed on top of CTA or OGDL, a geosynthetic layer was used
to protect the sensitive surface of the pressure cell. For HMA layers, the
layer underneath the pressure cell was dug and a thin layer of a mixtureof PG 64-22 binder and sand was placed to protect the sensitive side of
the pressure cell. This pressure cell is 9-in for subgrade and granular
material and 6-in diameter for hot-mix asphalt. They are much bigger
than the ones used at Nottingham in the past.
PROF. BROWN I dont want to prolong this discussion chairman, but
the point that I think I was trying to make in relation to calibration is that
in our experience it is quite important that pressure cells should be
calibrated in the material they are going to be installed in within the road.So if you are wanting to take measurements in asphalt, you must have
some arrangement in the laboratory (maybe a triaxial cell) where you
install the instruments inside the asphalt to get the correct calibration
factor, since the cells are very sensitive to the stiffness of the medium in
which you install them, as I am sure you know.
PROF. AL-QADI I agree if the pressure cell is a small one,
approximately 2-in in diameter or so; however, ours were much larger, 6-in diameter for hot-mix asphalt and 9-in diameter for granular material.
Filz presented a paper on the effect of the measured medium on the
pressure cell measurement a few years ago at TRB; but again that was
Al- Qadi, Loulizi, Elseifi, Lahouar
for 2-in diameter pressure cells. In addition, vehicle and FWD testing
was applied to the pressure cells after installation; FWD results are
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presented at the GeoDenver conference in 2000. Calibrating pressure
cells in a triaxial chamber is valid and needed for small pressure cells,
which I do not recommend using for pavements.
MR. RICHARD DAVIS I want to congratulate you on your study.When I first entered the highway pavement field I felt that it suffered
from a great number of unwarranted assumptions. I tried to extrapolate as
little as possible from the roadway and it seems to me that you have
made the same effort. I was always concerned about the instrumentation
and you showed concern in your statement. I was not surprised that the
elastic theory was not a good measure at high temperatures. After all,
asphalt changes by a factor of 10 million and it is the cementing material
and so it gets far out of what I would consider the elastic range when you
get to the high temperatures. I try to make my measurements at high
temperatures and low temperatures to get the extremes. I was struck by
the fact that you said that elastic theory underestimated the stresses, the
strength of the pavement at low temperatures. I was wondering, to what
do you attribute that?
PROF. AL-QADI Thank you Dick, I think at the time that you looked
into this I wasnt born; thats why I didnt refer to it. Let me get that
figure. If you look at the values that we have measured compared to thevalues that we calculated, above 35, the measured values are higher than
what we calculated. However, if you go to the low temperature, what we
measured is lower than what we calculated. That makes sense in my
opinion.
MR. DAVIS I saw the figure and I would think that the asphalt would
be at 0 C would be just about elastic, but not quite. I know finite element
analysis is an estimate for the solution of a differential equation, and it
may be that that is the reason, but I wondered what your explanation
was.
PROF. AL-QADI Let me share my opinion about that. In the case that
we run the BISAR or similar programs (including finite elements subject
to the same loading characteristics), we have a contact area that is
circular while the load is static. When we measure the pavement
response to loading, the tire is not circular and is moving. So, this will
most definitely impact the measurements. This explains our efforts forusing finite elements with a moving load.
MR DAVIS Th k
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