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20122024
most citedThermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition

5 citations · 8 across the 9 of their papers we have counts for

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math.AP2024

Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models

Rufat Badal, Manuel Friedrich, Martin Kružík +1

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, w…

math.AP2024

Measure structured deformations

stefan Krömer, Martin Kružík, Marco Morandotti +1

Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via r…

math.AP2022

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…

math.AP2022

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…

math.AP20171 cited

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…

math.AP20161 cited

Generalized -Young measures and relaxation of problems with linear growth

Margarida Baia, Stefan Krömer, Martin Kružík

We completely characterize generalized Young measures generated by sequences of gradients of maps from where . This extends and completes previous a…