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.

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