Wave propagation in layered anisotropic media: with applications to composites
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
1995
|
| Schriftenreihe: | North-Holland series in applied mathematics and mechanics
39 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 332 S. graph. Darst. |
| ISBN: | 0444890181 |
Internformat
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| 100 | 1 | |a Nayfeh, Adnan H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wave propagation in layered anisotropic media |b with applications to composites |c Adnan H. Nayfeh |
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 1995 | |
| 300 | |a XIII, 332 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a North-Holland series in applied mathematics and mechanics |v 39 | |
| 650 | 7 | |a Anisotropie - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Composites à fibres - Propriétés mécaniques |2 ram | |
| 650 | 7 | |a Composites |2 ram | |
| 650 | 7 | |a Milieux hétérogènes (physique) |2 ram | |
| 650 | 7 | |a Ondes - Propagation |2 ram | |
| 650 | 7 | |a Ondes élastiques |2 ram | |
| 650 | 7 | |a Stratifiés - Propriétés mécaniques |2 ram | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Anisotropy |x Mathematical models | |
| 650 | 4 | |a Fibrous composites |x Mechanical properties |x Mathematical models | |
| 650 | 4 | |a Laminated materials |x Mechanical properties |x Mathematical models | |
| 650 | 4 | |a Wave mechanics | |
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Datensatz im Suchindex
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| adam_text | Contents
1 INTRODUCTION 1
1.1 Historical background 2
1.1.1 Mostly isotropic media 2
1.1.2 Mostly anisotropic media 6
1.1.3 Fluid loaded solids 9
1.1.4 Piezoelectric effects 11
1.1.5 Scattering from layered cylinders . . .¦ 12
1.1.6 Elastic properties of composites 13
2 FIELD EQUATIONS AND TENSOR ANALYSIS 15
2.1 The stiffness tensor 16
2.2 Material symmetry 17
2.2.1 The transformation 17
2.3 Matrix forms of stiffness 21
2.4 Engineering constants 23
2.5 Transformed equations 24
2.5.1 Advantages of orthogonal transformations 25
2.6 Expanded field equations 26
2.6.1 Monoclinic 27
2.6.2 Orthotropic 28
2.7 Planes of symmetry 29
3 BULK WAVES 31
3.1 An overview 31
3.2 The Christoffel equation 33
3.2.1 General features of the Christoffel equation 34
3.2.2 Limitations of analytic solutions 37
3.3 Material symmetry 38
3.3.1 Analytical solutions 38
3.3.2 Higher symmetry 41
ix
x CONTENTS
3.3.3 Cubic symmetry 42
3.3.4 The isotropic case 46
3.4 Computer aided analysis 48
3.5 Group velocity 54
3.6 Energy flux 58
4 GENERALIZED SNELL S LAW AND INTERFACES 61
4.1 Boundary conditions 62
4.1.1 Types of interface conditions 62
4.2 Characterization of incident waves 64
4.3 Critical angles 66
4.4 Two fluid media 68
4.5 Two isotropic media 69
5 FORMAL SOLUTIONS 71
5.1 Common form of solutions 72
5.2 Triclinic layer 72
5.3 The monoclinic case 74
5.4 Higher symmetry materials 75
5.4.1 Propagation along off principal axes 77
5.4.2 Propagation along an axis of symmetry 77
5.4.3 Isotropic media 79
5.5 Formal solutions in fluid media 80
5.6 The a c relation and the Christoffel equation 80
6 SCATTERED WAVE AMPLITUDES 83
6.1 Notation 84
6.2 Reflection from a free surface 85
6.3 Scattering from fluid solid interfaces 88
6.4 Scattering from solid solid interface 90
7 INTERFACE WAVES 93
7.1 Surface waves 94
7.2 Pseudo surface waves 95
7.3 Scholte waves 99
8 FREE WAVE IN PLATES 103
8.1 Free waves in triclinic plates 105
8.2 Free waves in monoclinic plates 106
8.2.1 The dry case 106
8.2.2 Monoclinic plates immersed in fluids 108
CONTENTS xi
8.2.3 Fluid monoclinic plate vacuum system 109
8.3 Higher symmetry material plates 110
8.4 Numerical computation strategy 112
9 GENERAL LAYERED MEDIA 117
9.1 Geometric description of unit cell 118
9.2 Analysis 118
9.2.1 The local transfer matrix 122
9.2.2 The global transfer matrix 123
9.3 Properties of the transfer matrix 124
9.4 Free waves on the layered cell 126
9.5 Waves in a periodic medium 127
9.5.1 Dispersion curves 128
9.5.2 Dispersive slownesses 129
9.5.3 Specialization to a single material 130
9.6 Bottom bounding solid substrate 131
10 PROPAGATION ALONG AXES OF SYMMETRY 135
10.1 Geometry 136
10.2 SH waves 137
10.2.1 Free waves 138
10.2.2 Periodic media 139
10.2.3 Effective elastic properties 143
10.3 Motion in the sagittal plane 145
10.4 Free waves on the layered cell 147
10.5 Waves in a periodic medium 148
10.6 Bottom bounding solid substrate 149
11 FLUID LOADED SOLIDS 153
11.1 Reflection from a substrate 155
11.1.1 Qualitative discussion 157
11.2 Plates completely immersed in fluids 160
11.2.1 Cremer s correspondence principle 162
11.2.2 Fluid plate vacuum system 170
11.2.3 The general layered media 173
11.2.4 Bottom substrate 178
11.3 Higher symmetry cases 181
11.4 Leaky waves 183
11.4.1 Field of the incident finite beam 184
11.4.2 Field of the reflected beam 187
11.4.3 An overview of the reflection coefficient 188
xii CONTENTS
11.4.4 Rayleigh pole 190
11.4.5 Reflected beam profile 193
11.5 Experimental technique 197
12 PIEZOELECTRIC EFFECTS 201
12.1 Basic relations of piezoelectric materials 202
12.2 Simplified field equations 203
12.3 Analysis 204
12.4 Formal solutions 205
12.4.1 Surface waves 207
12.4.2 Free plate modes 209
12.5 Higher symmetric materials 209
12.5.1 Orthotropic 222 210
12.5.2 B. G. waves 211
12.6 Remarks on the monoclinic m case 213
12.7 Reflection and transmission coefficients 213
12.7.1 Reflection and transmission from a substrate 214
12.7.2 Reflection and transmission from a plate 215
12.8 Sample illustrations 215
12.9 Remarks on layered piezoelectric media 218
13 TRANSIENT WAVES 221
13.1 Theoretical development 221
13.2 Source characterization 223
13.3 Integral transforms of formal solutions 225
13.3.1 Methods of inverting the transforms 229
13.4 Isotropic media 230
13.4.1 The Cagniard de Hoop transformation 234
13.4.2 Displacement distribution 237
13.5 Anisotropic media 238
13.6 Cagniard de Hoop transformation 239
13.6.1 Displacement solutions 242
13.7 Semi space media 245
14 SCATTERING FROM LAYERED CYLINDERS 253
14.1 Field equations 255
14.2 Formal solutions in isotropic cylinders 256
14.3 Characterization of incident waves 258
14.4 Formal solutions for a layer 260
14.4.1 Local transfer matrix 262
14.4.2 Global transfer matrix 263
CONTENTS xiii
14.4.3 Properties of the transfer matrices 263
14.5 Scattering amplitudes 264
14.5.1 Scattering from a solid core 265
14.5.2 Scattering from an inner cavity 265
14.5.3 Stresses in the host medium 265
14.5.4 Scattering cross section 266
15 ELASTIC PROPERTIES OF COMPOSITES 267
15.1 General description of fibrous composites 267
15.2 The model 269
15.3 The layered model 269
15.3.1 Averaging . 271
15.3.2 Strain and stress compatibilities 272
15.3.3 Analysis 272
15.4 The square fibrous case 275
15.4.1 Compatibilities 276
15.4.2 Analysis 277
15.5 Anisotropic fiber and matrix 279
15.5.1 The layered model 280
15.5.2 The fibrous case 281
15.6 Strain energy approach 282
15.6.1 The layered model 282
15.6.2 The fibrous model 284
15.7 Undulated fiber 284
15.7.1 Discretization 286
Appendix 289
References 295
Additional References 315
Subject Index 325
Author Index 329
|
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| dewey-full | 620.1/183 |
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| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/183 |
| dewey-search | 620.1/183 |
| dewey-sort | 3620.1 3183 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV010769847 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:34Z |
| institution | BVB |
| isbn | 0444890181 |
| language | English |
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| physical | XIII, 332 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| series | North-Holland series in applied mathematics and mechanics |
| series2 | North-Holland series in applied mathematics and mechanics |
| spelling | Nayfeh, Adnan H. Verfasser aut Wave propagation in layered anisotropic media with applications to composites Adnan H. Nayfeh Amsterdam [u.a.] Elsevier 1995 XIII, 332 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier North-Holland series in applied mathematics and mechanics 39 Anisotropie - Modèles mathématiques ram Composites à fibres - Propriétés mécaniques ram Composites ram Milieux hétérogènes (physique) ram Ondes - Propagation ram Ondes élastiques ram Stratifiés - Propriétés mécaniques ram Mathematisches Modell Anisotropy Mathematical models Fibrous composites Mechanical properties Mathematical models Laminated materials Mechanical properties Mathematical models Wave mechanics Anisotroper Stoff (DE-588)4280461-9 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Geschichtetes Medium (DE-588)4232784-2 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 s Geschichtetes Medium (DE-588)4232784-2 s Anisotroper Stoff (DE-588)4280461-9 s DE-604 North-Holland series in applied mathematics and mechanics 39 (DE-604)BV001900898 39 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nayfeh, Adnan H. Wave propagation in layered anisotropic media with applications to composites North-Holland series in applied mathematics and mechanics Anisotropie - Modèles mathématiques ram Composites à fibres - Propriétés mécaniques ram Composites ram Milieux hétérogènes (physique) ram Ondes - Propagation ram Ondes élastiques ram Stratifiés - Propriétés mécaniques ram Mathematisches Modell Anisotropy Mathematical models Fibrous composites Mechanical properties Mathematical models Laminated materials Mechanical properties Mathematical models Wave mechanics Anisotroper Stoff (DE-588)4280461-9 gnd Wellenausbreitung (DE-588)4121912-0 gnd Geschichtetes Medium (DE-588)4232784-2 gnd |
| subject_GND | (DE-588)4280461-9 (DE-588)4121912-0 (DE-588)4232784-2 |
| title | Wave propagation in layered anisotropic media with applications to composites |
| title_auth | Wave propagation in layered anisotropic media with applications to composites |
| title_exact_search | Wave propagation in layered anisotropic media with applications to composites |
| title_full | Wave propagation in layered anisotropic media with applications to composites Adnan H. Nayfeh |
| title_fullStr | Wave propagation in layered anisotropic media with applications to composites Adnan H. Nayfeh |
| title_full_unstemmed | Wave propagation in layered anisotropic media with applications to composites Adnan H. Nayfeh |
| title_short | Wave propagation in layered anisotropic media |
| title_sort | wave propagation in layered anisotropic media with applications to composites |
| title_sub | with applications to composites |
| topic | Anisotropie - Modèles mathématiques ram Composites à fibres - Propriétés mécaniques ram Composites ram Milieux hétérogènes (physique) ram Ondes - Propagation ram Ondes élastiques ram Stratifiés - Propriétés mécaniques ram Mathematisches Modell Anisotropy Mathematical models Fibrous composites Mechanical properties Mathematical models Laminated materials Mechanical properties Mathematical models Wave mechanics Anisotroper Stoff (DE-588)4280461-9 gnd Wellenausbreitung (DE-588)4121912-0 gnd Geschichtetes Medium (DE-588)4232784-2 gnd |
| topic_facet | Anisotropie - Modèles mathématiques Composites à fibres - Propriétés mécaniques Composites Milieux hétérogènes (physique) Ondes - Propagation Ondes élastiques Stratifiés - Propriétés mécaniques Mathematisches Modell Anisotropy Mathematical models Fibrous composites Mechanical properties Mathematical models Laminated materials Mechanical properties Mathematical models Wave mechanics Anisotroper Stoff Wellenausbreitung Geschichtetes Medium |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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