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.

• Introduction
• Geometric Fundamentals
• Kinematics of Integrable Deformation
• Geometry of Anholonomic Deformation
• Kinematics of Anholonomic Deformation
• List of Symbols
• Bibliography
• Index