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Differential Geometry and Kinematics of Continua
Hardcover
General MathematicsGeometryPhysics
ISBN13: 9789814616034
Publisher: World Scientific Publishing Company
Published: Aug 11 2014
Pages: 192
Weight: 1.06
Height: 0.73 Width: 6.38 Depth: 9.27
Language: 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.
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