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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DIFFERENTIAL GEOMETRY AND KINEMATICS OF CONTINUA
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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DIFFERENTIAL GEOMETRY AND KINEMATICS OF CONTINUA
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DIFFERENTIAL GEOMETRY AND KINEMATICS OF CONTINUA
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Product Details
| ISBN-13: | 9789814616058 |
|---|---|
| Publisher: | World Scientific Publishing Company, Incorporated |
| Publication date: | 07/31/2014 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 192 |
| File size: | 18 MB |
| Note: | This product may take a few minutes to download. |
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