Differential Geometry And Kinematics Of Continua

by John D Clayton

Overview

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.

Product Details

ISBN-13:	9789814616034
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	09/30/2014
Pages:	192
Product dimensions:	6.38(w) x 9.27(h) x 0.73(d)