OpenSees in Practice: Soil Structure...

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OpenSees in Practice:Soil Structure Interaction

Arash KhosravifarFugro Consultants, Inc.August 16, 2012

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Examples1.Piles in Liquefied Soils – 2D Approach (UC Davis with Professor Ross Boulanger)

2.Piles in Liquefied Soils – 3D Approach (UC Davis)

3.Soil-Pile-Interaction for a Suspension Bridge (Fugro)

4.Seismic Retrofit of an Immersed Tunnel (Fugro)

5.OpenSees Components and Calibration Process

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Example 1.Piles in Liquefied Soils – 2D Approach

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Piles in Liquefied Soils – 2D Approach

• Large diameter extended pile shafts (2 to 3 m) can be an effective choice in areas of potential lateral spreading.

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FE model• OpenSees FE framework• Soil elements

9-4 Quad UPPDMY02 and PIMY

• Pile elementsDisp-based beam columnFiber section

• Interface elementsPYSimple and PYLiq1

CG

Dense sand(N1)60 = 35

Loose sand(N1)60 = 5

Clay crustSu = 40 KPa

Ground surface

qz

py

tz

0 m

-5 m

-8 m

-20 m

+10 m

2m diam

every0.5 mg

αg

g

Piles in Liquefied Soils – 2D Approach

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Animation

Piles in Liquefied Soils – 2D Approach

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0.01 0.1 1 10

Period (s)

0.01

0.1

1

10

(a) Base ground motions

0.01 0.1 1 10

Period (s)

0.01

0.1

1

10(b) Ground surface - nonliquefied

(Su=40kPa)

0.01 0.1 1 10

Period (s)

0.01

0.1

1

10

(c) Ground surface - liquefied(Su=40kPa)

Piles in Liquefied Soils – 2D Approach

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Example 2. Piles in Liquefied Soils – 3D Approach

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Piles in Liquefied Soils – 3D Approach

• Fully coupled (3D continuum)• Modeled in OpenSeesPL

• No interface element

• Pile occupies a space

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Animation

Piles in Liquefied Soils – 3D Approach

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Example 3. Soil-Pile-Interaction for a Suspension BridgeArash Khosravifar, Thaleia Travasarou, Jose Ugalde and Weiyu Chen, Fugro

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Foundation

Soil-Pile-Interaction for a Suspension Bridge

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Site Investigation

Soil-Pile-Interaction for a Suspension Bridge

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Produce Kinematic Motions• Site Response Analysis• Soil-Pile-Interaction

Modeled in OpenSeesPL

Soil-Pile-Interaction for a Suspension Bridge

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Site Response Analyses Results (no pile)• Comparison with FLAC3D and Deepsoil

20 ft below surface

0

0.1

0.2

0.3

0.4

0.5

0.6

0.01 0.1 1 10

Period (s)

PSA (g)

OpenSees

Deepsoil

FLAC

Soil-Pile-Interaction for a Suspension Bridge

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Soil-Pile-Interaction (single pile pushover)

Soil-Pile-Interaction for a Suspension Bridge

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Soil-Pile-Interaction (single pile pushover)

Clay

0

10000

20000

30000

40000

50000

60000

70000

80000

90000

0 1 2 3 4 5 6 7

Disp (ft)

P (lb

/ft)

API Clay at 45 ft

FLAC at 40 ft

FLAC at 50 ft

OpenSees  at 46 ft

Clay

0

10000

20000

30000

40000

50000

60000

70000

80000

90000

0 1 2 3 4 5 6 7

Disp (ft)

P (lb

/ft)

API Clay at 45 ft

OpenSees  at 46 ft

Without using interface springs With using interface springs

Soil-Pile-Interaction for a Suspension Bridge

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Example 4. Seismic Retrofit of an Immersed TunnelLanka Ilankatharan and Thaleia Travasarou, Fugro

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Seismic Retrofit of An Immersed TunnelLanka Ilankatharan and Thaleia Travasarou, Fugro

OpenSees FE mesh PressureDependMultiYield (PDMY01)

PressureIndependMultiYield (PIMY)

Representative X-Section

4-node quadUP

Potentially liquefiable

Franciscan

Stiff ClayStiff Clay

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Total displacement contours

units: feet

Horizontal disp. contours & Total disp. vectors

units: feet

Seismic Retrofit of An Immersed TunnelLanka Ilankatharan and Thaleia Travasarou, Fugro

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Horizontal displacement contours (OpenSees)

Horizontal displacement contours (FLAC-2D)

X-displacement contours -4.00E+00 -2.00E+00 0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

Contour interval= 2.00E+00

11-16 ft

10-14 ft ~3 ft

~3 ft

Seismic Retrofit of An Immersed TunnelLanka Ilankatharan and Thaleia Travasarou, Fugro

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Example 5. OpenSees Components and Calibration

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OpenSees Components and Calibration

• Soil models 9-4 Quad UP, Quad UP, Brick UP elementsPDMY02 and PIMY

• Pile elementsDisp-based beam column, Flexibility-based beam columnFiber section

• Interface elementsPYSimple1, TZSimple1, QZSimple1PYLiq1, TZLiq1 (for liquefaction)

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0 0.01 0.02 0.03 0.04

Shear strain γ12

0

100

200

300

400

Shea

r str

ess

τ 12 (

KPa

)

(N1)60 = 5

σ′vc = 100 KPa

σ′vc = 800 KPa

0 200 400 600 800 1000

Vertical effective stress (KPa)

0

100

200

300

400

Shea

r str

ess

τ 12 (

KPa

)

(N1)60 = 5

σ′vc = 100 KPa

σ′vc = 800 KPaφ'DSS = 30º

0 0.02 0.04 0.06 0.08 0.1

γ12 and γoct

0

20

40

60

τ 12 a

nd τ

oct (

KPa

)

(N1)60 = 5τ12 vs. γ12

τoct vs. γoct

0 40 80 120

σ′v and p′ (KPa)

0

20

40

60

τ 12 a

nd τ

oct (

KPa

)

(N1)60 = 5τ12 vs. σ′vτoct vs. p′

φ'DSS = 30º

φ'oct = 25.4º

Undrained Monotonic Direct-Simple-Shear Test (DSS)

Drained Monotonic DSS

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Drained Cyclic DSS

1E-006 1E-005 0.0001 0.001 0.01 0.1

Shear strain, γ12

0

0.2

0.4

0.6

0.8

1

Gse

c/Gm

ax

EPRI (1993)for depth 0-6 mand 36-76 m

σ′vo = 100 KPaσ′vo = 800 KPa

1E-006 1E-005 0.0001 0.001 0.01 0.1

Shear strain, γ12

0

20

40

60

Equi

v. d

ampi

ng ra

tio (%

)

EPRI (1993)for depth 0-6 mand 36-76 m

σ′vo = 100 KPaσ′vo = 800 KPa

-0.04 -0.02 0 0.02 0.04

Shear strain, γ12

-0.8

-0.4

0

0.4

0.8

Shea

r str

ess

ratio

(τ/σ

′ vc)

(N1)60 = 5σ′vc = 100 KPa

-0.04 -0.02 0 0.02 0.04

Shear strain, γ12

-0.8

-0.4

0

0.4

0.8

Shea

r str

ess

ratio

(τ/σ

′ vc)

(N1)60 = 5σ′vc = 800 KPa

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Undrained cyclic behavior• Calibrated for Cyclic Resistance Ratio (CRR)

1 10 100

Number of uniform cycles

0

0.2

0.4

0.6

(N1)60 = 25

(N1)60 = 15

(N1)60 = 5

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Structural Elements

2 m

Steel rebars63 #11

Unconfined concreteConfined concrete

0 0.02 0.04 0.06 0.08

Curvature (1/m)

0

20000

40000

60000

Mom

ent (

KN

-m) (a)

(b) (c) (d)

(a) First rebar yield(b) Unconfined concrete (cover) crush(c) Confined concrete (core) crush(d) Rebar snap

• Fiber sections

• Displacement-based nonlinear beam column elements

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Soil Springs

• Update properties based on PWP

• Allow gap formation

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THANK YOUakhosravifar@fugro.com