8 citations · 12 across the 8 of their papers we have counts for
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Crystallization in a one-dimensional periodic landscape
Manuel Friedrich, Ulisse Stefanelli
We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the i…
Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity
Vito Crismale, Manuel Friedrich
We extend the results about existence of minimizers, relaxation, and approximation proven by Chambolle et al. in 2002 and 2007 for an energy related to epitaxially strained crystal…
Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review
Manuel Friedrich, Edoardo Mainini, Paolo Piovano
Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractive-repulsive…
Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials
Manuel Friedrich
We consider a nonlinear, frame indifferent Griffith model for nonsimple brittle materials where the elastic energy also depends on the second gradient of the deformations. In the f…
Functionals defined on piecewise rigid functions: Integral representation and -convergence
Manuel Friedrich, Francesco Solombrino
We analyze integral representation and -convergence properties of functionals defined on \emph{piecewise rigid functions}, i.e., functions which are piecewise affine on a Caccio…
Numerical approximation of von Kármán viscoelastic plates
Manuel Friedrich, Martin Kružík, Jan Valdman
We consider metric gradient flows and their discretizations in time and space. We prove an abstract convergence result for time-space discretizations and identify their limits as c…