Special topics in the theory of piezoelectricity:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 329 S. Ill., graph. Darst. |
| ISBN: | 9780387894973 |
Internformat
MARC
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| 016 | 7 | |a 994589093 |2 DE-101 | |
| 020 | |a 9780387894973 |c GB. : EUR 117.65 (freier Pr.), sfr 171.00 (freier Pr.) |9 978-0-387-89497-3 | ||
| 024 | 3 | |a 9780387894973 | |
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| 245 | 1 | 0 | |a Special topics in the theory of piezoelectricity |c Jiashi Yang ed. |
| 264 | 1 | |a New York, NY |b Springer |c 2009 | |
| 300 | |a XII, 329 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Piezoelectricity | |
| 650 | 0 | 7 | |a Piezoelektrizität |0 (DE-588)4322722-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Piezoelektrizität |0 (DE-588)4322722-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Yang, Jiashi |4 edt | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018710196&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018710196 | ||
Datensatz im Suchindex
| _version_ | 1804140826207453184 |
|---|---|
| adam_text | Contents
Preface
....................................................... v
1
Basic
Equations
.......................................... 1
Jiashi Yang
1.1
Introduction
.......................................... 1
1.2 Basic
Equations
....................................... 1
1.3
Principle of Superposition
.............................. 4
1.4
Hamilton s Principle
................................... 5
1.5
Poynting s Theorem and Energy Integral
................. 6
1.6
Uniqueness
........................................... 7
1.7
Four-Vector Formulation
............................... 8
1.8
Cylindrical Coordinates
................................ 9
1.9
Spherical Coordinates
.................................. 10
1.10
Compact Matrix Notation
.............................. 11
References
................................................. 12
2
Green s Functions
........................................ 13
Ernian Pan
2.1
Introduction
.......................................... 13
2.2
Governing Equations
.................................. 14
2.3
Relations Among Different Sources and
Their Responses
...................................... 17
2.4
Green s Functions in
Anisotropie
Two-Dimensional Infinite,
Half, and Bimaterial Planes
............................ 21
2.4.1
Green s Functions in
Anisotropie 2D
Infinite
Planes Due to a Line Force and Line Dislocation
... 21
2.4.2
Green s Functions in
Anisotropie 2D
Half-Planes
Due to a Line Force and Line Dislocation
......... 23
2.4.3
Green s Functions in 2D
Anisotropie
Bimaterial
Plane Due to a Line Force and Line Dislocation
---- 24
viii Contents
2.5
Green s Functions in Three-Dimensional Infinite, Half, and
Bimaterial Spaces: Transverse Isotropy
................... 26
2.5.1
Green s Functions for Infinite Space
.............. 27
2.5.2
Green s Functions for Half and
Bimaterial Spaces
.............................. 28
2.6
Green s Functions in Three-Dimensional Infinite, Half, and
Bimaterial Spaces: General Anisotropy
................... 31
2.6.1
Infinite Space
.................................. 32
2.6.2
Half-Space
.................................... 33
2.6.3
Bimaterial Space
............................... 34
2.7
Green s Functions in Layered Half-Space
................. 36
2.7.1
General N- and LM-Type Solutions
in the Transformed Domain
..................... 38
2.7.2
Propagator Matrix Method for Multilayered
Structures
.................................... 39
2.7.3
Physical Domain Solutions
...................... 40
2.8
Conclusions
.......................................... 41
References
................................................. 41
3
Two-Dimensional Static Problems:
Stroh
Formalism
.......................................... 47
Hui
Fan
3.1
Introduction and General Equations
..................... 47
3.1.1
Two-Dimensional Piezoelectric Boundary Value
Problems via
Stroh
Formalism
................... 49
3.1.2
Eight-Dimensional Representation of Piezoelectricity
51
3.1.3
Historical Remarks on
Stroh
Formalism
........... 53
3.2
Piezoelectric Solid with an Elliptic Inclusion
.............. 54
3.2.1
Importance of the Inclusion Problem
............. 54
3.2.2
Elliptic Inclusion Embedded in an Infinitely
Extended Solid
................................ 54
3.2.3
Remarks
...................................... 57
3.3
Cracks in Piezoelectric Solids
........................... 57
3.3.1
Crack-Tip Solution
............................. 58
3.3.2
Crack Front Coincides with Poling Direction
(x3 -Axis)
..................................... 60
3.3.3
Full Field Solutions
............................ 61
3.4
Contact Problems
..................................... 64
3.4.1
Nonslip
Contact
............................... 66
3.4.2
Slip Contact
................................... 67
3.4.3
Decoupled Elastic and Dielectric Contact
......... 68
3.4.4
Piezoelectric Half-Space with Poling Direction
Along the
хз
-Axis
..............................
70
3.5
Decay Analysis for a Piezoelectric Strip
.................. 70
3.5.1
Saint-
Venant
Principle and Decay Analysis
........ 70
Contents jx
3.5.2 Eigenexpansion
for the Piezoelectric
Strip......... 72
3.5.3
Boundary Conditions and Determination of
Eigenvalues Ajt
................................. 73
3.5.4
Examples of Decay Factor in the Piezoelectric Strip
75
3.5.5
Remarks
...................................... 77
References
................................................. 78
4
Fracture and Crack Mechanics
............................ 81
Yasuhide Shindo
4.1
Introduction
.......................................... 81
4.2
Piezoelectric Crack Mechanics
.......................... 82
4.2.1
Fundamental Equations
......................... 82
4.2.2
Crack Face Boundary Conditions
................ 87
4.2.3
Fracture Mechanics Parameters
.................. 91
4.3
Fracture Test and Analysis
.............................116
4.3.1
Indentation Fracture
...........................116
4.3.2
Bending Fracture
..............................118
4.3.3
Fracture of Cracked Specimens
..................123
4.4
Fatigue Test and Analysis
..............................129
4.5
Summary and Future Research Directions
................131
References
.................................................132
5
Boundary Element Method
...............................137
Qing-Hua Qin
5.1
Introduction
..........................................137
5.2
Boundary Integral Formulations
.........................138
5.2.1
Governing Equations
...........................138
5.2.2
Boundary Integral Equation
.....................138
5.2.3
Boundary Element Equation
....................144
5.3
One-Dimensional Elements
.............................145
5.3.1
Shape Functions
...............................
145
5.3.2
Differential Geometry
..........................147
5.4
Two-Dimensional Elements
.............................148
5.4.1
Shape Functions
...............................
148
5.4.2
Differential Geometry
..........................
15°
5.5
Numerical Integration over Elements
.....................
I51
5.5.1
One-Dimensional Elements
......................
I51
5.5.2
Two-Dimensional Elements
......................
152
5.6
Treatment of Singular Integrals
.........................
153
5.6.1
Nearly Singular Integrals
........................
153
5.6.2
Weakly Singular Integrals
.......................
153
5.6.3
Nonhypersingular Integrals
......................
154
5.6.4
Hypersingular Integrals
.........................
155
5.7
Evaluation of Domain Integrals
.........................
156
5.7.1
Dual Reciprocity Formulation
...................
156
5.7.2
Coefficients a
..................................
158
x
Contents
5.7.3
Particular Solutions
U
and Approximation
Functions
b ...................................
158
5.8
Multidomain Problems
.................................159
5.9
Numerical Examples
...................................160
5.9.1
A Piezoelectric Column Under
Uniaxial
Tension
.......................................160
5.9.2
A Horizontal Finite Crack in an Infinite
Piezoelectric Medium
...........................162
5.9.3
A Rectangular Piezoelectric Solid with a Central
Inclined Crack
.................................164
References
.................................................166
6
Waves in Strained/Polarized Media
.......................169
Olivian Simionescu-Panait
6.1
Introduction
..........................................169
6.2
Basic Equations
.......................................170
6.2.1
The Quasi-Electrostatic Approximation of Balance
Equations
.....................................170
6.2.2
Small Deformation and Electric Fields
Superposed on Large Static Deformation
and Electric Fields
.............................173
6.2.3
Special Cases: Homogeneous Initial State and
Nonpolarisable Environment
.....................178
6.2.4
Dynamic and Static Energy Balance. Incremental
Initial and Boundary Value Problems
.............181
6.2.5
Static and Dynamic Local Stability. Propagation
of Plane Harmonic Waves
.......................183
6.2.6
Characteristic Surfaces
.........................186
6.3
Plane Harmonic Wave Propagation in Crystals Subject to
Initial Electromechanical Fields
.........................187
6.3.1 Isotropie
Solids. The
Electrostrictive
Effect
........187
6.3.2
Cubic Crystals. Generalised Anisotropy Factor,
Slowness Surfaces
..............................193
6.3.3 6
mm
-Туре
Crystals. Generalised
Electromechanical Coupling Coefficient,
Slowness Surfaces
..............................200
6.4
Propagation of Attenuated Waves in Crystals Subject to
Initial Electromechanical Fields
.........................215
6.4.1
Fundamental Equations. Acoustic Tensor
.........216
6.4.2 Isotropie
Solids. Approximate Solutions
...........217
6.4.3
Cubic Crystals. Approximate Solutions.
Generalised Anisotropy Factor
...................223
6.5
The Coupling of Guided Plane Waves in Piezoelectric
Crystals Subject to Initial Electromechanical Fields
........235
6.5.1
Coupling Conditions for Waveguide Propagation
... 236
Contents xj
6.5.2
The Decoupling of Mechanical and Electrical
Boundary Conditions
...........................241
6.6
Conclusions
..........................................244
References
.................................................244
7
Fully Dynamic Theory
...................................247
Jiashi Yang
7.1
Introduction
.........................................247
7.2
Governing Equations
..................................248
7.3
Variational Formulation
...............................249
7.4
Quasistatic Approximation
............................250
7.5 Antiplane
Problems of Polarized Ceramics
...............251
7.6
A Moving Dislocation
.................................253
7.7
Surface Waves
........................................256
7.7.1
An Electroded Half-Space
......................257
7.7.2
An Unelectroded Half-Space
....................258
7.8
Waves in a Plate Between Two Half-Spaces
..............259
7.8.1
Dispersion Relations
...........................259
7.8.2
Special Cases
.................................262
7.8.3
Numerical Results for Acoustic Modes
............266
7.8.4
Electromagnetic Modes and Acoustic Leaking
.....268
7.9
Electromagnetic Radiation from a Vibrating Cylinder
.....273
References
.................................................278
8
Nonlocal and Gradient Effects
............................281
Jiashi Yang
8.1
Introduction
..........................................281
8.2
Nonlocal Theory
......................................282
8.3
Thin-Film Capacitance by Nonlocal Theory
..............283
8.4
Electromechanical Coupling by Nonlocal Theory
..........288
8.4.1
Shorted Electrodes
.............................289
8.4.2
Open Electrodes
...............................289
8.4.3
Electromechanical Coupling Factor
...............291
8.4.4
Numerical Results
.............................292
8.4.5
Comparison with Experiment
....................294
8.5
Gradient Effects as Weak Nonlocal Effects
................294
8.6
Gradient Effects and Lattice Dynamics
...................296
8.7
Polarization Gradient Theory
...........................296
8.8
Electric Field Gradient Theory
..........................298
8.9 Antiplane
Problems of Polarized Ceramics
................300
8.10
A General Solution in Polar Coordinates
.................300
8.11
A Line Source
........................................
301
8.12
Dispersion of Short Plane Waves
........................302
8.13
Dispersion of Short Surface Waves
.......................303
8.14
A Circular Inclusion
...................................
3(*7
8.14.1
Exterior Fields
................................
307
xii Contents
8.14.2
Interior
Fields
.................................309
8.14.3
Continuity Conditions
..........................310
8.14.4
Numerical Results
.............................310
8.15
A Semi-Infinite Crack
..................................313
References
.................................................316
Appendix: Electroelastic Material Constants
..................319
References
.................................................329
|
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| id | DE-604.BV035852179 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:09Z |
| institution | BVB |
| isbn | 9780387894973 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018710196 |
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| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | XII, 329 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Special topics in the theory of piezoelectricity Jiashi Yang ed. New York, NY Springer 2009 XII, 329 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Piezoelectricity Piezoelektrizität (DE-588)4322722-3 gnd rswk-swf Piezoelektrizität (DE-588)4322722-3 s DE-604 Yang, Jiashi edt Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018710196&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Special topics in the theory of piezoelectricity Piezoelectricity Piezoelektrizität (DE-588)4322722-3 gnd |
| subject_GND | (DE-588)4322722-3 |
| title | Special topics in the theory of piezoelectricity |
| title_auth | Special topics in the theory of piezoelectricity |
| title_exact_search | Special topics in the theory of piezoelectricity |
| title_full | Special topics in the theory of piezoelectricity Jiashi Yang ed. |
| title_fullStr | Special topics in the theory of piezoelectricity Jiashi Yang ed. |
| title_full_unstemmed | Special topics in the theory of piezoelectricity Jiashi Yang ed. |
| title_short | Special topics in the theory of piezoelectricity |
| title_sort | special topics in the theory of piezoelectricity |
| topic | Piezoelectricity Piezoelektrizität (DE-588)4322722-3 gnd |
| topic_facet | Piezoelectricity Piezoelektrizität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018710196&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yangjiashi specialtopicsinthetheoryofpiezoelectricity |