DIFFERENTIAL GEOMETRY AND KINEMATICS OF CONTINUA
| Autor: | John D Clayton |
|---|---|
| EAN: | 9789814616034 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 194 |
| Produktart: | Gebunden |
| Veröffentlichungsdatum: | 31.07.2014 |
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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.
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