Introduction to elastic wave propagation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
1994
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 297 S. graph. Darst. |
| ISBN: | 047193884X |
Staff View
MARC
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| 100 | 1 | |a Bedford, Anthony |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to elastic wave propagation |c A. Bedford ; D. S. Drumheller |
| 264 | 1 | |a Chichester [u.a.] |b Wiley |c 1994 | |
| 300 | |a XIII, 297 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Ondes élastiques |2 ram | |
| 650 | 4 | |a Elastic wave propagation | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface jx
Nomenclature x;
1 Linear Elasticity 1
1 1 Index Notation 1
Cartesian coordinates and vectors [
Dot and cross products 2
Gradient, divergence, and curl 3
Gauss theorem 4
Exercises 4
1 2 Motion 6
The motion and inverse motion 7
Displacement, velocity, and acceleration 8
Exercises 10
1 3 Deformation 12
Strain tensors 12
Longitudinal strain (3
Shear strain 14
Changes in volume and density 16
Exercises 19
1 4 Stress 21
Traction 21
Stress tensor 22
Tetrahedron argument 23
Exercises 26
1 5 Stress-Strain Relations 27
Linear elastic materials 27
Isotropic linear elastic materials 28
Exercises 30
1 6 Balance and Conservation Equations 31
Transport theorem 32
VI
CONTENTS
Conservation of mass 33
Balance of linear momentum 33
Balance of angular momentum 34
Exercises 35
1 7 Equations of Motion 36
Displacement equations of motion 36
Helmholtz decomposition 38
Acoustic medium 38
Exercises 39
1 8 Summary 39
Displacement equations of motion 40
Helmholtz decomposition 40
Strain tensor and density 40
Stress-strain relation 41
Traction 41
2 One-dimensional Waves 43
2 1 One-dimensional Wave Equation 43
Exercises 46
2 2 One-dimensional Motions of an Elastic Material 47
Compressional waves 47
Shear waves 50
2 3 Motion of a String 52
Equation of motion 52
Boundary conditions 54
2 4 One-dimensional Solutions 55
Initial-value problem 55
Initial-boundary-value problems 59
Reflection and transmission at an interface 62
Exercises 65
2 5 Method of Characteristics 68
Initial-value problem 69
Initial-boundary-value problem 70
Exercises 72
2 6 Waves in Layered Media 73
First algorithm 74
Second algorithm 76
Examples 76
Exercises 82
3 Steady-state Waves 83
3 1 Steady-state One-dimensional Waves 83
Exercises 88
3 2 Steady-state Two-dimensional Waves 89
Plane waves propagating in the vj - xy plane 91
CONTENTS
vii
Plane waves propagating in the x direction and attenuating in the *3 94
direction
Exercise 95
3 3 Reflection at a Plane Boundary 95
Incident compressional wave 96
Incident shear wave 100
Exercise 106
3 4 Rayleigh Waves 106
3 5 Steady-state Waves in a Layer 110
Acoustic waves in a channel no
Waves in an elastic layer 113
Elementary theory of waves in a layer 116
Exercises 118
3 6 Steady-state Waves in Layered Media 118
Special cases 121
Pass and stop bands 121
Exercises 122
4 Transient Waves 123
4 1 Laplace Transform 123
4 2 Fourier Transform 128
Example 128
Fourier superposition and impulse response 131
Exercises 134
4 3 Discrete Fourier Transform and the FFT 135
Examples 138
Exercises 142
4 4 Transient Waves in Dispersive Media 142
Group velocity 143
Transient waves in layered media 145
Exercises 151
4 5 Cagniard-de Hoop Method 151
Exercise 165
5 Nonlinear Wave Propagation 167
5 1 One-dimensional Nonlinear Elasticity 167
Motion *67
Deformation gradient and longitudinal strain 168
Conservation of mass *69
Balance of linear momentum *70
Summary *70
5 2 Hyperbolic Systems and Characteristics 172
Characteristics 172
Interior equation and hyperbolic equations 174
Examples 175
Weak waves
Exercises ^
viii CONTENTS
5 3 Singular Surface Theory j85
Kinematic compatibility condition 18g
Acceleration waves I87
Shock waves 190
Exercises 192
5 4 Loading and Release Waves 194
Loading wave 194
Release wave 197
Exercises 199
Appendix A: Complex Analysis 201
Appendix B: Tables of Elastic Constants 217
Bibliography 221
Solutions to Exercises 223
Index
|
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| id | DE-604.BV009682086 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:39:07Z |
| institution | BVB |
| isbn | 047193884X |
| language | English |
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| physical | XIII, 297 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | Wiley |
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| spelling | Bedford, Anthony Verfasser aut Introduction to elastic wave propagation A. Bedford ; D. S. Drumheller Chichester [u.a.] Wiley 1994 XIII, 297 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mouvement ondulatoire, Théorie du ram Ondes - Propagation ram Ondes élastiques ram Elastic wave propagation Wave motion, Theory of Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Elastische Welle (DE-588)4151684-9 gnd rswk-swf Elastische Welle (DE-588)4151684-9 s Wellenausbreitung (DE-588)4121912-0 s DE-604 Drumheller, D. S. Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006402276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bedford, Anthony Drumheller, D. S. Introduction to elastic wave propagation Mouvement ondulatoire, Théorie du ram Ondes - Propagation ram Ondes élastiques ram Elastic wave propagation Wave motion, Theory of Wellenausbreitung (DE-588)4121912-0 gnd Elastische Welle (DE-588)4151684-9 gnd |
| subject_GND | (DE-588)4121912-0 (DE-588)4151684-9 |
| title | Introduction to elastic wave propagation |
| title_auth | Introduction to elastic wave propagation |
| title_exact_search | Introduction to elastic wave propagation |
| title_full | Introduction to elastic wave propagation A. Bedford ; D. S. Drumheller |
| title_fullStr | Introduction to elastic wave propagation A. Bedford ; D. S. Drumheller |
| title_full_unstemmed | Introduction to elastic wave propagation A. Bedford ; D. S. Drumheller |
| title_short | Introduction to elastic wave propagation |
| title_sort | introduction to elastic wave propagation |
| topic | Mouvement ondulatoire, Théorie du ram Ondes - Propagation ram Ondes élastiques ram Elastic wave propagation Wave motion, Theory of Wellenausbreitung (DE-588)4121912-0 gnd Elastische Welle (DE-588)4151684-9 gnd |
| topic_facet | Mouvement ondulatoire, Théorie du Ondes - Propagation Ondes élastiques Elastic wave propagation Wave motion, Theory of Wellenausbreitung Elastische Welle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006402276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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