DIFFERENTIAL GEOMETRY AND KINEMATICS OF CONTINUA
Author: John D Clayton
Publisher: World Scientific Publishing Company
Edition: N/A
Publication Date: 2014-08-11
Language: English
Paperback: 192 pages
ISBN-10: 9814616036
ISBN-13: 9789814616034
Book Description
This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided.
From the Back Cover
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