21 citations · 170 across the 35 of their papers we have counts for
5 papers · 1 filter
The double-bubble problem on the square lattice
Manuel Friedrich, Wojciech Górny, Ulisse Stefanelli
We investigate minimal-perimeter configurations of two finite sets of points on the square lattice. This corresponds to a lattice version of the classical double-bubble problem. We…
Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons
Manuel Friedrich, Lennart Machill
We consider a two-dimensional model of viscoelastic von Kármán plates in the Kelvin's-Voigt's rheology derived from a three-dimensional model at a finite-strain setting. As the wid…
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…
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…
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…