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20122021
most citedSequential weak continuity of null Lagrangians at the boundary

1 citations · 1 across the 5 of their papers we have counts for

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7 papers · 1 filter

math.AP2021

Relaxation of functionals with linear growth: interactions of emerging measures and free discontinuities

Stefan Krömer, Martin Kružík, Elvira Zappale

For an integral functional defined on functions featuring a prototypical strong interaction term between and , we calculate its relaxation in th…

math.AP2020

Elastoplasticity of gradient-polyconvex materials

Martin Kružík, Jiří Zeman

We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with m…

math.AP2020

Equilibrium for multiphase solids with Eulerian interfaces

Diego Grandi, Martin Kružík, Edoardo Mainini +1

We describe a general phase-field model for hyperelastic multiphase materials. The model features an elastic energy functional that depends on the phase-field variable and a surfac…

math.AP2020

Magnetoelastic thin films at large strains

Elisa Davoli, Martin Kružík, Paolo Piovano +1

Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of Γ-convergence techniques. As magnetization vectors are defined on the…

math.AP2019

Gradient polyconvex material models and their numerical treatment

Martin Horák, Martin Kružík

Gradient polyconvex materials are nonsimple materials where we do not assume smoothness of the elastic strain but instead regularity of minors of the strain is required. This allow…

math.AP2019

Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity

Manuel Friedrich, Martin Kružík

We apply a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology to derive a viscoelastic plate model of von…