This concise 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.
After a motivation that arises from considering geometrically linear first- and second-order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as...
This concise book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry....
This book is the offspring of a summer school school "Macroscopic and large scale
phenomena: coarse graining, mean field limits and ergodicity," which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins.
Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions.
Francois Golse delivers a chapter on the dynamics of large particle systems in the mean field limit and surveys the...
This book is the offspring of a summer school school "Macroscopic and large scale
phenomena: coarse graining, mean field limits and ergodici...
