Elastic wave propagation in transversely isotropic media

Front Cover
Springer Science & Business Media, Oct 31, 1983 - Science - 192 pages
0 Reviews
In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
1
IV
2
VI
4
VII
11
VIII
12
IX
14
X
15
XII
17
XXXVII
76
XXXVIII
78
XXXIX
81
XL
91
XLI
94
XLII
95
XLIII
96
XLIV
105

XIII
18
XIV
20
XV
24
XVI
26
XVII
31
XVIII
34
XIX
38
XX
40
XXI
55
XXII
58
XXIII
60
XXIV
61
XXV
62
XXVII
63
XXVIII
64
XXIX
66
XXXI
67
XXXII
68
XXXV
69
XXXVI
74
XLV
111
XLVI
114
XLVII
119
XLVIII
123
XLIX
130
LI
132
LII
146
LIII
151
LIV
154
LV
157
LVII
162
LVIII
166
LIX
169
LX
175
LXI
179
LXIII
183
LXIV
186
LXV
189
LXVI
191

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information