Wave Propagation in Layered Anisotropic Media (eBook)

with Application to Composites

A.H. Nayfeh (Autor)

eBook Download: PDF

1995 | 1. Auflage
331 Seiten
Elsevier Science (Verlag)
978-0-08-054373-4 (ISBN)

Infos

Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.

Inhalt

Front Cover 1
Wave Propagations in Layered Anisotropic Media: With Applications to Composites 4
Copyright Page 5
Contents 10
CHAPTER 1. INTRODUCTION 16
1.1 Historical background 17
CHAPTER 2. FIELD EQUATIONS AND TENSOR ANALYSIS 30
2.1 The stiffness tensor 31
2.2 Material symmetry 32
2.3 Matrix forms of stiffness 36
2.4 Engineering constants 38
2.5 Transformed equations 39
2.6 Expanded field equations 41
2.7 Planes of symmetry 44
CHAPTER 3. BULK WAVES 46
3.1 An overview 46
3.2 The Christoffel equation 48
3.3 Material symmetry 53
3.4 Computer aided analysis 63
3.5 Group velocity 69
3.6 Energy flux 73
CHAPTER 4. GENERALIZED SNELL'S LAW AND INTERFACES 76
4.1 Boundary conditions 77
4.2 Characterization of incident waves 79
4.3 Critical angles 81
4.4 Two fluid media 83
4.5 Two isotropic media 84
CHAPTER 5. FORMAL SOLUTIONS 86
5.1 Common form of solutions 87
5.2 Triclinic layer 87
5.3 The monoclinic case 89
5.4 Higher symmetry materials 90
5.5 Formal solutions in fluid media 95
5.6 The a–c relation and the Christoffel equation 95
CHAPTER 6. SCATTERED WAVE AMPLITUDES 98
6.1 Notation 99
6.2 Reflection from a free surface 100
6.3 Scattering from fluid-solid interfaces 103
6.4 Scattering from solid-solid interface 105
CHAPTER 7. INTERFACE WAVES 108
7.1 Surface waves 109
7.2 Pseudo-surface waves 110
7.3 Scholte waves 114
CHAPTER 8. FREE WAVE IN PLATES 118
8.1 Free waves in triclinic plates 120
8.2 Free waves in monoclinic plates 121
8.3 Higher symmetry material plates 125
8.4 Numerical computation strategy 127
CHAPTER 9. GENERAL LAYERED MEDIA 132
9.1 Geometric description of unit cell 133
9.2 Analysis 133
9.3 Properties of the transfer matrix 139
9.4 Free waves on the layered cell 141
9.5 Waves in a periodic medium 142
9.6 Bottom bounding solid substrate 146
CHAPTER 10. PROPAGATION ALONG AXES OF SYMMETRY 150
10.1 Geometry 151
10.2 S H waves 152
10.3 Motion in the sagittal plane 160
10.4 Free waves on the layered cell 162
10.5 Waves in a periodic medium 163
10.6 Bottom bounding solid substrate 164
CHAPTER 11. FLUID–LOADED SOLIDS 168
11.1 Reflection from a substrate 170
11.2 Plates completely immersed in fluids 175
11.3 Higher symmetry cases 196
11.4 Leaky waves 198
11.5 Experimental technique 212
CHAPTER 12. PIEZOELECTRIC EFFECTS 216
12.1 Basic relations of piezoelectric materials 217
12.2 Simplified field equations 218
12.3 Analysis 219
12.4 Formal solutions 220
12.5 Higher symmetric materials 224
12.6 Remarks on the monoclinic-m case 228
12.7 Reflection and transmission coefficients 228
12.8 Sample illustrations 230
12.9 Remarks on layered piezoelectric media 233
CHAPTER 13. TRANSIENT WAVES 236
13.1 Theoretical development 236
13.2 Source characterization 238
13.3 Integral transforms of formal solutions 240
13.4 Isotropic media 245
13.5 Anisotropic media 253
13.6 Cagniard-de Hoop transformation 254
13.7 Semi-space media 260
CHAPTER 14. SCATTERING FROM LAYERED CYLINDERS 268
14.1 Field equations 270
14.2 Formal solutions in isotropic cylinders 271
14.3 Characterization of incident waves 273
14.4 Formal solutions for a layer 275
14.5 Scattering amplitudes 279
CHAPTER 15. ELASTIC PROPERTIES OF COMPOSITES 282
15.1 General description of fibrous composites 282
15.2 The model 284
15.3 The layered model 284
15.4 The square fibrous case 290
15.5 Anisotropic fiber and matrix 294
15.6 Strain energy approach 297
15.7 Undulated fiber 299
Appendix 304
References 310
Additional References 330
Subject Index 340
Author Index 344

Produkt-Details

• Erscheint lt. Verlag: 27.9.1995
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• ISBN-10: 0-08-054373-1 / 0080543731
• ISBN-13: 978-0-08-054373-4 / 9780080543734