8 citations · 9 across the 4 of their papers we have counts for
22 papers
Tilings with nonflat squares: a characterization
Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli
Inspired by the modelization of 2D materials systems, we characterize arrangements of identical nonflat squares in 3D. We prove that the fine geometry of such arrangements is compl…
Lattice ground states for Embedded-Atom Models in 2D and 3D
Laurent Bétermin, Manuel Friedrich, Ulisse Stefanelli
The Embedded-Atom Model (EAM) provides a phenomenological description of atomic arrangements in metallic systems. It consists of a configurational energy depending on atomic positi…
-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
We analyze the -convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface discontinuities, including phenomena as…
Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy
Manuel Friedrich, Leonard Kreutz, Bernd Schmidt
We investigate the emergence of rigid polycrystalline structures from atomistic particle systems. The atomic interaction is governed by a suitably normalized pair interaction energ…
Two-well linearization for solid-solid phase transitions
Elisa Davoli, Manuel Friedrich
In this paper we consider nonlinearly elastic, frame-indifferent, and singularly perturbed two-well models for materials undergoing solid-solid phase transitions in any space dimen…
Integral representation for energies in linear elasticity with surface discontinuities
Vito Crismale, Manuel Friedrich, Francesco Solombrino
In this paper we prove an integral representation formula for a general class of energies defined on the space of generalized special functions of bounded deformation () in…