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.

List of contents

Introduction; Geometric Fundamentals; Kinematics of Integrable Deformation; Geometry of Anholonomic Deformation; Kinematics of Anholonomic Deformation; List of Symbols; References; Index;

Product details

• Authors: John D Clayton, John D. Clayton, John D Clayton
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 30.09.2014
• EAN: 9789814616034
• ISBN: 978-981-46160-3-4
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Applied, MATHEMATICS / Geometry / Differential, Applied mathematics, Differential & Riemannian geometry, Differential and Riemannian geometry