Martin Kružík

collaborators

3 papers

math-ph2025

Surface-Polyconvex Models for Soft Elastic Solids

Martin HorÃ¡k, Michal Å mejkal, Martin KruÅ¾Ãk

Soft solids with surface energy exhibit complex mechanical behavior, necessitating advanced constitutive models to capture the interplay between bulk and surface mechanics. This in…

math.OC2025

Polyconvex double well functions

Didier Henrion, Martin KruÅ¾Ãk

We investigate polyconvexity of the double well function $f (X) := ∣ X - X_1 ∣^{2} ∣ X - X_2 ∣^{2}$ for given matrices $X_1, X_2 \in R^{n \times n}$ . Such functions are fundamental in the…

math.AP2024

New applications of Hadamard-in-the-mean inequalities to incompressible variational problems

Jonathan Bevan, Martin KruÅ¾Ãk, Jan Valdman

Let $D (u)$ be the Dirichlet energy of a map $u$ belonging to the Sobolev space $H_{u_{0}}^{1} (I^c ◯; R^{2})$ and let $A$ be a subclass of $H_{u_{0}}^{1} (I^c ◯; R^{2})$ whose…