Bibliography
Journal Article
An efficient approach to the numerical solution of rate-independent problems with nonconvex energies
,
: Multiscale Modeling and Simulation vol.9, 3 (2011), p. 1275-1300
: CEZ:AV0Z10750506
: IAA100750802, GA AV ČR, GAP201/10/0357, GA ČR
: numerical solution, nonconvexity
: http://library.utia.cas.cz/separaty/2011/MTR/kruzik-0364707.pdf
(eng): We propose a new approach to the numerical treatment of non(quasi)convex rate-independent evolutionary problems. The main idea is to replace the original microscopic energy density by its polyconvexification. For this problem, first-order optimality conditions are derived and used in finding a discrete solution. The effectiveness of the method is illustrated with some numerical experiments.
: BA