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math.AP2021★ 1 cited
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We present a quantitative geometric rigidity estimate in dimensions generalizing the celebrated result by Friesecke, James, and Müller to the setting of variable domains. L…
math-ph2021
Crystallinity of the homogenized energy density of periodic lattice systems
Antonin Chambolle, Leonard Kreutz
We study the homogenized energy densities of periodic ferromagnetic Ising systems. We prove that, for finite range interactions, the homogenized energy density, identifying the eff…