[DOWNLOAD] "Differential Geometry And Kinematics Of Continua" by John D. Clayton * Book PDF Kindle ePub Free

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eBook details

• Title: Differential Geometry And Kinematics Of Continua
• Author : John D. Clayton
• Release Date : January 31, 2014
• Genre: Mathematics,Books,Science & Nature,Professional & Technical,
• Pages : * pages
• Size : 27467 KB

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.


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.

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