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.

• | Author: John D. Clayton
• | Publisher: World Scientific Publishing Company Incorporated
• | Publication Date: Sep 30, 2014
• | Number of Pages: 182 pages
• | Language: English
• | Binding: Hardcover
• | ISBN-10: 9814616036
• | ISBN-13: 9789814616034