Differential Geometry And Kinematics Of Continua
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A01=John D Clayton
Anholonomic Coordinates
Author_John D Clayton
Category=PBMP
Category=PBW
Continuum Mechanics
Deformation
Differential Geometry
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Kinematics
Tensor Analysis
Product details
- ISBN 9789814616034
- Publication Date: 30 Sep 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
