Paul Steinmann, "Geometrical Foundations of Continuum Mechanics: An Application to First- and Second-Order Elasticity and Elasto-Plasticity"
English | 2015 | ISBN-10: 3662464594 | 517 pages | pdf | 5 MB
English | 2015 | ISBN-10: 3662464594 | 517 pages | pdf | 5 MB
This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity.