Zobrazeno 1 - 10
of 307
pro vyhledávání: '"Kružík, Martin"'
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, we show that there exist solutions to a Kelvin-Voigt model for quasi-st
Externí odkaz:
http://arxiv.org/abs/2407.02035
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 relaxation departing either from energies associated with classical def
Externí odkaz:
http://arxiv.org/abs/2402.14790
Ensuring non-interpenetration of matter is a fundamental prerequisite when modeling the deformation response of solid materials. In this contribution, we thoroughly examine how this requirement, equivalent to the injectivity of deformations within bu
Externí odkaz:
http://arxiv.org/abs/2402.05601
Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously derive a linearized model that coincides with the standard one that al
Externí odkaz:
http://arxiv.org/abs/2401.09586
Autor:
Kružík, Martin, Mainini, Edoardo
We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establish corresponding linearized models and show their relationship to the o
Externí odkaz:
http://arxiv.org/abs/2312.08783
Let $Q$ be a Lipschitz domain in $\mathbb{R}^n$ and let $f \in L^{\infty}(Q)$. We investigate conditions under which the functional $$I_n(\varphi)=\int_Q |\nabla \varphi|^n+ f(x)\,\mathrm{det} \nabla \varphi\, \mathrm{d}x $$ obeys $I_n \geq 0$ for al
Externí odkaz:
http://arxiv.org/abs/2306.11022
Publikováno v:
Philos. Trans. Roy. Soc. A 381 (2023), no.2263, Paper No. 20220366
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 fully Eulerian interfacial energy. In order to penalize large curvature
Externí odkaz:
http://arxiv.org/abs/2305.02168
This work addresses the occupation measure relaxation of calculus of variations problems, which is an infinite-dimensional linear programming relaxation amenable to numerical approximation by a hierarchy of semidefinite optimization problems. We addr
Externí odkaz:
http://arxiv.org/abs/2303.02434