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Piezoelectric Materials

• Piezoelectric Phenomena

— Piezoelectric Effect

— Modes of Vibration

— Terminology

• Materials and Processing

— Perovskite Materials

— Ceramic Processing

• Piezoelectric Applications

— Design Principles

— Application Examples

Lecture Outline

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Piezoelectric Materials

Piezoelectric Phenomena

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Piezoelectric Materials

• Piezoelectric behaviour can be manifested in two distinct

ways.

• ‘direct’ piezoelectric effect

• ‘converse’ piezoelectric effect

Piezoelectric Effect

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Piezoelectric Materials

• ‘Direct’ piezoelectric effect occurs when a piezoelectric

material becomes electrically charged when subjected to a

mechanical stress.

• These devices can be used to detect strain, movement,

force, pressure or vibration by developing appropriate

electrical responses, as in the case of force and acoustic

or ultrasonic sensors.

Direct Piezoelectric Effect

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Piezoelectric Materials

• ‘Converse’ piezoelectric effect occurs when the

piezoelectric material becomes strained when placed in an

electric field.

• This property can be used to generate strain, movement,

force, pressure or vibration through the application of

suitable electric field.

Converse Piezoelectric Effect

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Piezoelectric Materials

Terminology

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Piezoelectric Materials

Terminology

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Piezoelectric Materials

• When an electric field is applied to a piezoelectric,

the material dimensions change in all three axes

under stress-free conditions. The d constant

also expresses the amount of charge developedrelative to the stress applied along a specific axis.

Piezoelectric Strain Constant d

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Piezoelectric Materials

• The d31 constant is defined as:

Piezoelectric Strain Constant d

axis 1 along applied Stressarea electrode per Charge

axis 3 along applied Fieldaxis 1 along Developed Strain

d31

=

=

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Piezoelectric Materials

• The g constant expresses the electric fielddeveloped under open circuit conditions relative

to the stress applied along a specific axis. It

also expresses the amount of strain induced

relative to the applied electrical charge per unitarea.

Piezoelectric Stress Constant g

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Piezoelectric Materials

• The g31 constant is defined as:

Piezoelectric Stress Constant g

area electrodeper charge Appliedaxis 3 along developed Strain

axis 1 along applied Stressaxis 3 along developed Filed

g31

=

=

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Piezoelectric Materials

Hysteresis and Strain

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Piezoelectric Materials

Piezoelectric and Electrostrictive Effect

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Piezoelectric Materials

Modes of Vibration

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Piezoelectric Materials

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Crystal, Ceramics and Polymers

Type MaterialsSingle Crystals Quartz

Lead Magnesium Niobate(PMN-PT and PZN-PT)

Ceramics Lead Zirconate Titanate (PZT)Lead Metaniobate (LMN)Lead Titanate (LT)Lead Magnesium Niobate (PMN)

Polymers Polyvinylenedifluoride (PVDF)Composites Ceramic-polymer

Ceramic-glass

Piezoelectric Materials

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Piezoelectric Materials

Longitudinal Strain vs.Field for VariousMaterials

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Piezoelectric Materials

Structure of Lead Zirconate Titanate Ceramics

A2+ (Pb, Ba)B4+ (Ti, Zr)O2-

BM400 Type I (Pb, Sr)(Zr, Ti)O3BM500 Type II Pb(Zr,Ti,Nb)O3

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Piezoelectric Materials

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Soft Ceramics

Type of Piezoelectric Material Typical Properties

Soft Ceramics

Normally doped with NiobiumPentoxide or Lanthanum OxideLow Mechanical Q, High dielectricconstants and high chargesensitivity.

Examples of materials are:BM500 (Navy type II)BM527 (Navy type V)BM532 (Navy type VI)

Sensors, low power projectors,actuators, accelerometers.

Navy type ceramics refer to DOD-DTS-1376(SHIPS).

Piezoelectric Materials

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Piezoelectric Materials

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Piezoelectric Materials

Hard Ceramics

Type of Piezoelectric Material Typical PropertiesHard Ceramics

Normally doped with Nickel, Iron orStrontium. Typical characteristicsare high mechanical Q, lowerdielectric constant, lower lossfactor, higher resistance todepoling.

Examples of material are:BM400 (Navy type I)BM800 (Navy type III)

High power transducers in sonar,ultrasonic cleaning, high-driveactuators, biological celldisrupters

.

Navy type ceramics refer to DOD-DTS-1376(SHIPS).

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Piezoelectric Materials

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Piezoelectric Materials

Electrostrictive Ceramics

Type of Piezoelectric Material Typical Properties

Electrostrictive Ceramics

Normally produced from doped leadmagnesium niobate., Available forabout five years now, thesematerials have almost nohysteresis, very high dielectricconstants, very high straincoefficients.

Materials:BM600 (Modified LeadMagnesium Niobate)

Mainly used in actuators andvery high power sonar projectors.

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Piezoelectric Materials

Properties of Lead Zirconate Titanate Ceramics

Material ParameterPZT (II)BM500

PZT (VI)BM532

PZT (I)BM400

PZT (III)BM800

Dielectric Constant 1750 3250 1350 1000

Dissipation Factor%

2.0 2.0 0.4 0.2

Voltage Constant(g31) 10-3 Vm/N -11.5 -7.5 -10.5 -10.5

Charge Constant(d31) 10-12 C/N

-165 -250 -115 -80

Curie Temperature0C

360 210 350 325

Mechanic Q Factor 80 70 500 1000

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Piezoelectric Materials

Properties of Lead Zirconate Titanate Ceramics

Application PZT (II)BM500

PZT (VI)BM532

PZT (I)BM400

PZT (III)BM800

UnderwaterSonar ProjectorsHydrophonesDepth SoundersLinear Arrays

r

r

rr

rr

r

MeasurementLevel, FlowFlaw Detection (NDE)AccelerometersActuators

rrrr

rrrr

rrrr

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Piezoelectric Materials

Properties of Lead Zirconate Titanate Ceramics

Application PZT (II)BM500

PZT (VI)BM532

PZT (I)BM400

PZT (III)BM800

MedicalTransducersSteilizers

r r rr r

IndustrialCleanersAlarmsWelders

rr

r

r

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Piezoelectric MaterialsPiezoelect ric Materials

Processing of Lead Zirconate Titanate Ceramics

Ball mill

Spray dry

Calcine up to 1200oC

Weigh outraw material

Ball mill to desiredparticle size

Spray dry

Forming process:(dry or isostatic press etc.)

Sinter firing

Grinding or lapping

Powder evaluation

Electroding

Polarizing

Testing

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Piezoelectric Materials

Polarization of Ceramics

Polarization in asingle crystal ofpiezoelectricceramics.

Piezoelectric ceramic -before polarization

Piezoelectric ceramic - after polarization

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Piezoelectric Materials

Properties of Lead Zirconate Titanate Ceramics

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Piezoelectric Materials

Standard Ceramic Configurations

Frequency discs Thickness discs

Tubes

Plates and bars

Washers

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Piezoelectric Materials

Piezoelectric Tube Actuator

L

A W

31dLWVL ••=∆

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Piezoelectric Materials

Electrode Configurations for Tube Actuators

Outer/InnerElectrodesSegmented

180 DegOption 001

OuterElectrode

Segmented180 Deg

Option 002

Outer/InnerElectrodesSegmented

90 DegOption 003

OuterElectrode

Segmented90 Deg

Option 004

Outer/InnerFullFace

ElectrodesOption 005

No Segmentation

Option 005

One Horizontal Line

Option 006

Horizontal/Vertical Segments

Option 007

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Piezoelectric Materials

Piezoelectric Stack Actuator

L

33dNVL ••=∆

33dLtV

E

••=

EE s

dAtVF

33

33••=

A

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Piezoelectric Materials

Actuator Displacement and Force Working Equations

Assumption: Same Electric Field in Ceramics

B

B

B

S

B

S

Lh

LL

dd

DD

31

33

B

B

B

SE

E

B

S

hL

AA

ss

dd

FF

33

11

31

33

LS

AS

LB

AB

hB

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Piezoelectric Materials

Displacement and Force for Stack Actuator

Electric Field Constraints

! Coercive Field

(~ 500V/mm)

! Flashover Limit in Air

(~ 1000V/mm)

0006.0≈∆LL

∴ would need 17mm stackfor 10µm displacement.

AreaF ×≈ 30(F in Newtons, Area in mm2)

For 15mm OD & 5mm ID:

NF 4600≈

For Field = 1000 V/mm

Note: Exceeding coercivefield limit requires DC bias toavoid depoling.

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Piezoelectric Materials

Bending Mode Actuator

LB V hB DB

2

2

316B

BB h

LdVD •••=B

BBEB L

hWsdVF •••=

11

31

23

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Piezoelectric Materials

- 6

- 4

- 2

0

2

4

6

8

1 0

1 2

- 2 0 0 - 1 0 0 0 1 0 0 2 0 0

V o l tag e (V )

Dis

plac

emen

t (m

icro

ns).

Parallel to Field

Perpendicular to Field

Electrostrictive Actuator

25 x 25 mm2

20 mm

0.5 mm

A piezoelectric actuator of the same geometry and having the samedisplacements at 200V would require:

d33 = 1250pC/N; d31 = -460pC/N

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Piezoelectric Materials

Piezoelectric Composites

Piezoelectric composites consist of aceramic material embedded in a polymermatrix with a certain connectivity knownas 1-3 connectivity pattern. These elements offer several advantages oversingle-phase (monolithic) piezoelectricmaterials for such applications as

hydrophones and transducers. While not a flexible element, they canbe cut to very thin dimensions.

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Piezoelectric Materials

Piezoelectric Composites

1-3 composite

525±10%0.03 1475 ±5%0.62525-30%150kHz -1.5MHz

BM532

3250±10%0.031850±5%0.5870100150kHz -2MHz

Property

Dielectric ConstantK33T

Dissipation FactorN3Ke

Q (unloaded)Ceramic Volume

Frequency

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Piezoelectric Materials

Langevin-type transducers feature compactness, highenergy efficiency and a wide range of operatingtemperatures. These transducers use Lead ZirconateTitanate ceramic elements in a sandwich-typeconstruction (two to four discs), providing a ruggedunit capable of high efficiency and continuous operationat elevated temperatures.

Characteristic features:• Large amplitude• Low heat generation• Stability and durability• High efficiency• High output

Langevin Transducers

Langevin transducers can bebuilt from 18kHz to 70kHz forvarious end-user applications.

A booster horn can be used togenerate greater displacementfrom the transducer.

Applications:• Ultrasonic cleaning• Ultrasonic degreasers• Cell disrupters• Ultrasonic machining• Plastics welding• Underwater acoustics• Non-destructive evaluation• Atomizers• Ultrasonic scalpel

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Piezoelectric Materials

The electrical condition of an unstressed medium under

the influence of an electric field is defined by two

quantities - the field strength E and their dielectric

displacement D. These two are related by the equation:

D = ε E

where ε is the permittivity of the medium.

Piezoelectric Relations

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Piezoelectric Materials

The mechanical condition of the same medium at zero

electric field strength can be defined by two mechanical

quantities - applied stress T and strain S.

S = sT

where s is the compliance of the medium.

Piezoelectric Relations

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Piezoelectric Materials

Piezoelectricity involves the interaction between the

electrical and mechanical behaviour of the medium, and

the interaction can be described by linear relationships

between these two.

S = sE T + dE

D = dT + εT E

Piezoelectric Relations

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Piezoelectric Materials

1. Energy Conversion Mechanism

An externally applied electric field causes a change in the

dielectric polarization in the material which in turn causes

an elastic strain. The generating action takes place when

an elastic strain causes a change in the polarization that

induces a charge on the electrodes.

Principles of Application

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Piezoelectric Materials

2. Transducer Operating Environment

The acoustic properties of the medium (air, water or ice)

are very important in the design of transducers.

Transducers must also withstand the severe effects of

sea water, biological activity, hydrostatic pressure, and

extreme temperature conditions.

Principles of Application

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Piezoelectric Materials

3. Conversion Criteria

The following are the general performance criteria for the transducers.

• Linearity. The output of the transducer is a linear function of the

input.

• Reversibility. The transducer must convert energy in either direction.

• Passivity. All the output energy from the transducer is obtained from

the input energy - electrical or acoustical.

Principles of Application

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Piezoelectric Materials

Applications

Mechanical toElectricalConversion

! Phonograph cartridges! Microphones! Vibration sensors! Accelerometers! Photoflash actuators! Gas igniters! Fuses

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Piezoelectric Materials

Applications - Piezoelectric Igniters

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Piezoelectric Materials

Applications - Piezoelectric Igniters

NTK Ceramics, Japan, 1986.

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Piezoelectric Materials

Hydrophones

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Piezoelectric Materials

Applications - Diver Communication SystemsOcean technology S

ystems, 1990

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Piezoelectric Materials

Applications - Marine Mammal Listening Systems

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Piezoelectric Materials

Applications - Consumer Products

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Piezoelectric Materials

Applications

Electrical toMechanicalConversion

! Valves! Micropumps! Earphones and speakers! Ultrasonic cleaners! Emulsifiers! Sonic transducers

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Piezoelectric Materials

Applications - Piezoelectric Audiotone Transducers

Figure A. Layered structure with ceramic bonded to metal diaphragm. Radialmode of vibration produces a bending effect.Figure B. Alternating voltage produces convex and concave distortions in thediaphragm. Displacement of the diaphragm is in the order of microns.

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Piezoelectric Materials

Applications - Liquid Atomization Devices

1 2 3

1. Vibration; 2. Cavitation; 3. Misting4. Ultrasonic Humidifier.

4

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Piezoelectric Materials

Applications - Liquid Atomization Devices

Liquid Atomizing Nozzle from Sono-Tek Corporation. Fineliquid sprays are used in material processing industry suchas the manufacture of solar cells to provide thin uniformcoatings.

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Piezoelectric Materials

Applications - Liquid Atomization DevicesData from

Sono-Tek

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Piezoelectric Materials

Applications - Liquid Atomization Devices

Cavitation (at lower power levels)

Misting(at increased power levels)

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Piezoelectric Materials

Applications - Depth Sounders

NTK Technical Ceramics, 198

6.

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Piezoelectric Materials

Applications - Sonar Applications

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Piezoelectric Materials

Applications - Low Frequency Sonar

Sonar Dome

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Piezoelectric Materials

Applications - Low Frequency Sonar

Detail of the Sonar Transducerand the components of thesystem.Raytheon, 1984.

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Piezoelectric Materials

Applications - Ultrasonic MotorS

hinsei, 1996

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Piezoelectric Materials

Applications

Electrical-Mechanical-ElectricalConversion

! Surface acoustic wave devices! Delay lines! Filters! Oscillators! Transformers

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Piezoelectric Materials

Applications - Flash Blindness Goggles

Aura

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Piezoelectric Materials

TransducerSX100

DepthCompensator

MatchingNetwork

PowerAmplifierShield

SignalProcessor

PowerDistribution

Board

LithiumBatteryPack

AnodizedAluminumHousing

Underwater Communications

Piezoelectric Materials

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Piezoelectric Materials

Communication with Marine Mammals

Piezoelectric Materials

Transducer

Battery

ControlBox

Cable &Reel

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Piezoelectric Materials

Marine Mammal Communications

Piezoelectric Materials

Transmitter Receiver/Monitor

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Piezoelectric Materials

Conclusions

NTK Technical Ceramics, 198

6.

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Piezoelectric Materials

• Reviewed Piezoelectric Phenomena

— Piezoelectric Effect, Modes of Vibration, Terminology

• Materials and Processing

• Piezoelectric Applications

— Application examples using mechanical to electrical conversion, electricalto mechanical conversion, and electrical-mechanical-electrical conversionhave been discussed.

Conclusions