Differential Geometry And Kinematics Of Continua
Seiten
2014
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4616-03-4 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4616-03-4 (ISBN)
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.
Introduction; Geometric Fundamentals; Kinematics of Integrable Deformation; Geometry of Anholonomic Deformation; Kinematics of Anholonomic Deformation; List of Symbols; References; Index;
| Verlagsort | Singapore |
|---|---|
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 981-4616-03-6 / 9814616036 |
| ISBN-13 | 978-981-4616-03-4 / 9789814616034 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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