Ernian Pan

Static Green's Functions in Anisotropic Media (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 30. April 2015
• Englisch
• ISBN-13: 9781316234204
• Artikelnr.: 53062876

Autorenporträt

Ernian Pan is a Professor of Civil Engineering at the University of Akron and a Fellow of both ASME and ASCE. He received his BS from Lanzhou University, his MS from Peking University, and his PhD from the University of Colorado, Boulder. His research interests are in computational mechanics with applications to anisotropic magnetoelectroelastic solids and nanostructures. As a well-recognized expert in anisotropic and multilayered Green's functions, he has pioneered various benchmark solutions for multiphase and multilayered composites with functionally graded materials and played various active roles in, and contributed to, Green's function research and education. He has published more than 250 journal articles.

Inhaltsangabe

1. Introduction
2. Governing equations
3. Green's functions in elastic isotropic full and bimaterial planes
4. Green's functions in magnetoelectroelastic full and bimaterial planes
5. Green's functions in elastic isotropic full and bimaterial spaces
6. Green's functions in a transversely isotropic magnetoelectroelastic full space
7. Green's functions in a transversely isotropic magnetoelectroelastic biomaterial
8. Green's functions in an anisotropic magnetoelectroelastic full space
9. Green's functions in an anisotropic magnetoelectroelastic bimaterial space.