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  3. Static Green's Functions in Anisotropic Media
  • Cited by 68
Publisher:
Cambridge University Press
Online publication date:
May 2015
Print publication year:
2015
Online ISBN:
9781139541015
DOI:
https://doi.org/10.1017/CBO9781139541015
Subjects:
Mathematics, Engineering, Mathematical Modeling and Methods, Engineering Mathematics and Programming
Information

Book description

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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