47 citations · 79 across the 24 of their papers we have counts for
7 papers · 1 filter
Surface penalization of self-interpenetration in linear and nonlinear elasticity
Stefan Krömer, Jan Valdman
We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere globa…
Elastoplastic deformations of layered structures
Daria Drozdenko, Michal Knapek, Martin Kružík +3
We formulate a large-strain model of single-slip crystal elastoplasticity in the framework of energetic solutions. Numerical performance of the model is compared with lab experimen…
Poincare-Friedrichs Type Constants for Operators Involving grad, curl, and div: Theory and Numerical Experiments
Dirk Pauly, Jan Valdman
We give some theoretical as well as computational results on Laplace and Maxwell constants. Besides the classical de Rham complex we investigate the complex of elasticity and the c…
Numerical approximation of von Kármán viscoelastic plates
Manuel Friedrich, Martin Kružík, Jan Valdman
We consider metric gradient flows and their discretizations in time and space. We prove an abstract convergence result for time-space discretizations and identify their limits as c…
Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms
Stefan Krömer, Jan Valdman
We present a new penalty term approximating the Ciarlet-Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple mater…
Verifications of primal energy identities for variational problems with obstacles
Sergey Repin, Jan Valdman
We discuss error identities for two classes of free boundary problems generated by obstacles. The identities suggest true forms of the respective error measures which consist of tw…
Error identities for variational problems with obstacles
Sergey Repin, Jan Valdman
The paper is concerned with a class of nonlinear free boundary problems, which are usually solved by variational methods based on primal (or primal-dual) variational settings. We d…