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Home Academics Mathematics & logic Differential Geometry and Kinematics of Continua
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Differential Geometry and Kinematics of Continua
by Clayton
4.5
4.5 out of 5
Creators
AuthorClayton
Publisher World Scientific Publishing Company
SynopsisThis 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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