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
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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Product Details
| ISBN-13: | 9789814616034 |
|---|---|
| Publisher: | World Scientific Publishing Company, Incorporated |
| Publication date: | 09/30/2014 |
| Pages: | 192 |
| Product dimensions: | 6.38(w) x 9.27(h) x 0.73(d) |
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