999 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Czech Academy of SciencesCZ67 papers
- Charles UniversityCZ39 papers
- Czech Technical University in PragueCZ33 papers
- Johannes Kepler University of LinzAT7 papers
- University of South Bohemia in České BudějoviceCZ6 papers
- University of WarwickGB6 papers
- V. N. Karazin Kharkiv National UniversityUA6 papers
- Federation UniversityAU5 papers
- Prague University of Economics and BusinessCZ5 papers
- Technical University of LiberecCZ5 papers
- Czech Academy of Sciences, Institute of ThermomechanicsCZ4 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
20 papers · 1 filter
Curvature-dependent Eulerian interfaces in elastic solids
Katharina Brazda, Martin Kružík, Fabian Rupp +1
We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a f…
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…
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…
A reduced model for plates arising as low energy -limit in nonlinear magnetoelasticity
Marco Bresciani, Martin Kružík
We investigate the problem of dimension reduction for plates in nonlinear magnetoelasticity. The model features a mixed Eulerian-Lagrangian formulation, as magnetizations are defin…
Crack occurrence in bodies with gradient polyconvex energies
Martin Kružík, Paolo Maria Mariano, Domenico Mucci
Energy minimality selects among possible configurations of a continuous body with and without cracks those compatible with assigned boundary conditions of Dirichlet-type. Crack pat…
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…
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…
Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary
Stefan Krömer
By a result of John Ball (1981), a locally orientation preserving Sobolev map is almost everywhere globally invertible whenever its boundary values admit a homeomorphic extension.…
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…
Quasistatic elastoplasticity via Peridynamics: existence and localization
Martin Kružík, Carlos Mora-Corral, Ulisse Stefanelli
Peridynamics is a nonlocal continuum-mechanical theory based on minimal regularity on the deformations. Its key trait is that of replacing local constitutive relations featuring sp…
Weak lower semicontinuity by means of anisotropic parametrized measures
Agnieszka Kałamajska, Stefan Krömer, Martin Kružík
It is well known that besides oscillations, sequences bounded only in can also develop concentrations, and if the latter occurs, we can at most hope for weak convergence…
On the existence of minimisers for strain-gradient single-crystal plasticity
Keith Anguige, Patrick Dondl, Martin Kružík
We prove the existence of minimisers for a family of models related to the single-slip-to-single-plane relaxation of single-crystal, strain-gradient elastoplasticity with -har…
Weak lower semicontinuity of integral functionals and applications
Barbora Benešová, Martin Kružík
Minimization is a reoccurring theme in many mathematical disciplines ranging from pure to applied ones. Of particular importance is the minimization of integral functionals that is…
A sharp interface evolutionary model for shape memory alloys
Hans Knüpfer, Martin Kružík
We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconve…
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay
Igor Chueshov, Alexander Rezounenko
We deal with a class of parabolic nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in biology. We first prove well-p…
Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold
Tibor Krisztin, Alexander Rezounenko
Classical solutions to PDEs with discrete state-dependent delay are studied. We prove the well-posedness in a set which is an analogous to the solution manifold used for ordi…
Dynamics of second order in time evolution equations with state-dependent delay
Igor Chueshov, Alexander Rezounenko
We deal with a class of second order in time nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in the theory ofnonlin…
Quasistatic adhesive contact delaminating in mixed mode and its numerical treatment
Martin Kruzik, Christos G. Panagiotopoulos, Tomas Roubicek
An adhesive unilateral contact between visco-elastic bodies at small strains and in a Kelvin-Voigt rheology is scrutinized, neglecting inertia. The flow-rule for debonding the adhe…
Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition
Barbora Benešová, Martin Kružík, Tomáš Roubíček
A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermo-magnetic coupling. To allow conceptually efficient c…
Quasiconvexity at the boundary and concentration effects generated by gradients
Martin Kruzik
We characterize generalized Young measures, the so-called DiPerna-Majda measures which are generated by sequences of gradients. In particular, we precisely describe these measures…