By John D Clayton
This booklet presents definitions and mathematical derivations of basic relationships of tensor research encountered in nonlinear continuum mechanics and continuum physics, with a spotlight on finite deformation kinematics and classical differential geometry. Of specific curiosity are anholonomic facets coming up from a multiplicative decomposition of the deformation gradient into phrases, neither of which in isolation inevitably obeys the integrability stipulations happy via the gradient of a tender vector box. The concise structure emphasizes readability and simplicity of reference, and precise step by step derivations of such a lot analytical effects are provided.
- Geometric Fundamentals
- Kinematics of Integrable Deformation
- Geometry of Anholonomic Deformation
- Kinematics of Anholonomic Deformation
- List of Symbols
Readership: Researchers in mathematical physics and engineering mechanics.
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Additional info for Differential Geometry and Kinematics of Continua
Differential Geometry and Kinematics of Continua by John D Clayton