51 citations · 292 across the 42 of their papers we have counts for
7 papers · 1 filter
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity
Dominik Engl, Stefan Krömer, Martin Kružík
We perform via -convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considere…
Global weight optimization of frame structures with polynomial programming
Marek Tyburec, Michal Kočvara, Martin Kružík
Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization t…
Minimal Energy for Geometrically Nonlinear Elastic Inclusions in Two Dimensions
Ibrokhimbek Akramov, Hans Knüpfer, Martin Kružík +1
We are concerned with a variant of the isoperimetric problem, which in our setting arises in a geometrically nonlinear two-well problem in elasticity. More precisely, we investigat…
Generalized Minimizing Movements for the varifold Canham-Helfrich flow
Katharina Brazda, Martin Kružík, Ulisse Stefanelli
The gradient flow of the Canham-Helfrich functional is tackled via the Generalized Minimizing Movements approach. We prove the existence of solutions in Wasserstein spaces of varif…
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…
Nonlinear and Linearized Models in Thermoviscoelasticity
Rufat Badal, Manuel Friedrich, Martin Kružík
We consider a quasistatic nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply…