Differential Geometry And Kinematics Of Continua
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| Title: | Differential Geometry And Kinematics Of Continua |
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| Description: | 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. |
| Authors: | John D Clayton |
| Resource Type: | eBook. |
| Subjects: | Field theory (Physics), Geometry, Differential, Calculus of tensors, Continuum mechanics |
| Categories: | MATHEMATICS / Geometry / Differential, MATHEMATICS / Applied, SCIENCE / Mechanics / General |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9789814616034 9789814616041 9789814616058 |
