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- Author: John D Clayton
- Publisher: World Scientific Publishing Company
- Year: 2014
- ISBN-10: 9814616036
- ISBN-13: 9789814616034
- Format: 16.2 x 23.6 x 1.9 cm, hardcover
- Language: English
- SAVE -10% with code: EXTRA
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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.
Sample Chapter(s)
Chapter 1: Introduction (117 KB)
Contents: IntroductionGeometric FundamentalsKinematics of Integrable DeformationGeometry of Anholonomic DeformationKinematics of Anholonomic DeformationList of SymbolsBibliographyIndex
Readership: Researchers in mathematical physics and engineering mechanics.
EXTRA 10 % discount with code: EXTRA
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- Author: John D Clayton
- Publisher: World Scientific Publishing Company
- Year: 2014
- ISBN-10: 9814616036
- ISBN-13: 9789814616034
- Format: 16.2 x 23.6 x 1.9 cm, hardcover
- Language: English English
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.
Sample Chapter(s)
Chapter 1: Introduction (117 KB)
Contents: IntroductionGeometric FundamentalsKinematics of Integrable DeformationGeometry of Anholonomic DeformationKinematics of Anholonomic DeformationList of SymbolsBibliographyIndex
Readership: Researchers in mathematical physics and engineering mechanics.
Reviews