Static Green's Functions in Anisotropic Media

Ernian Pan; Weiqiu Chen

doi:10.1017/CBO9781139541015

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This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.

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Static Green's Functions in Anisotropic Media

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Contents

Static Green’s Functions in Anisotropic Media - Half title page
pp i-ii

Static Green’s Functions in Anisotropic Media - Title page
pp iii-iii

Copyright page
pp iv-iv

Dedication
pp v-vi

Contents
pp vii-xiv

Preface
pp xv-xvi

Acknowledgments
pp xvii-xviii

1 - Introduction
pp 1-28

2 - Governing Equations
pp 29-56

3 - Green’s Functions in Elastic Isotropic Full and Bimaterial Planes
pp 57-110

4 - Green’s Functions in Magnetoelectroelastic Full and Bimaterial Planes
pp 111-139

5 - Green’s Functions in Elastic Isotropic Full and Bimaterial Spaces
pp 140-175

6 - Green’s Functions in a Transversely Isotropic Magnetoelectroelastic Full Space
pp 176-219

7 - Green’s Functions in a Transversely Isotropic Magnetoelectroelastic Bimaterial Space
pp 220-259

8 - Green’s Functions in an Anisotropic Magnetoelectroelastic Full-Space
pp 260-292

9 - Green’s Functions in an Anisotropic Magnetoelectroelastic Bimaterial Space
pp 293-327

Index
pp 328-337

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Static Green's Functions in Anisotropic Media

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