Differential Geometry And Kinematics Of Continua
Differential Geometry And Kinematics Of Continua
by John D Clayton
English | 2015 | ISBN: 9814616036 | 189 Pages | PDF | 1.15 MB
by John D Clayton
English | 2015 | ISBN: 9814616036 | 189 Pages | PDF | 1.15 MB
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.