Description

Book Synopsis
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.

Table of Contents
Introduction; Geometric Fundamentals; Kinematics of Integrable Deformation; Geometry of Anholonomic Deformation; Kinematics of Anholonomic Deformation; List of Symbols; References; Index;

Differential Geometry And Kinematics Of Continua

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    A Hardback by John D Clayton

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 30/09/2014
      ISBN13: 9789814616034, 978-9814616034
      ISBN10: 9814616036

      Description

      Book Synopsis
      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.

      Table of Contents
      Introduction; Geometric Fundamentals; Kinematics of Integrable Deformation; Geometry of Anholonomic Deformation; Kinematics of Anholonomic Deformation; List of Symbols; References; Index;

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