5 citations · 5 across the 9 of their papers we have counts for
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Derivation of Kirchhoff-type plate theories for elastic materials with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We rigorously derive a Blake-Zisserman-Kirchhoff theory for thin plates with material voids, starting from a three-dimensional model with elastic bulk and interfacial energy featur…
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories
Luca Briani, Marco Cicalese, Leonard Kreutz
We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diver…
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We derive a dimension-reduction limit for a three-dimensional rod with material voids by means of -convergence. Hereby, we generalize the results of the purely elastic setting […
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
Annika Bach, Marco Cicalese, Leonard Kreutz +1
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice. The system is fully frustrated and displays two fa…
Microscopic validation of a variational model of epitaxially strained crystalline film
Leonard Kreutz, Paolo Piovano
A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by -convergence. The discrete model here introduced…
A homogenization result for weak membrane energies
Leonard Kreutz
We prove a -convergence result for space dependent weak membrane energies, that is for 'truncated quadratic potentials', that are quadratic below some threshold (depending on th…