Differential Geometry And Kinematics Of Continua

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.


Contents:

Introduction
Geometric Fundamentals
Kinematics of Integrable Deformation
Geometry of Anholonomic Deformation
Kinematics of Anholonomic Deformation
List of Symbols
Bibliography
Index



Readership: Researchers in mathematical physics and engineering mechanics.