21 citations · 170 across the 35 of their papers we have counts for
4 papers · 1 filter
On a decomposition of regular domains into John domains with uniform constants
Manuel Friedrich
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform constants. We prove that for every simply connected domain $Ω\subset {\Bbb R}^2…
A piecewise Korn inequality in SBD and applications to embedding and density results
Manuel Friedrich
We present a piecewise Korn inequality for generalized special functions of bounded deformation () in a planar setting generalizing the classical result in elasticity theor…
Quasistatic crack growth in 2d-linearized elasticity
Manuel Friedrich, Francesco Solombrino
In this paper we prove a two-dimensional existence result for a variational model of crack growth for brittle materials in the realm of linearized elasticity. Starting with a time-…
The geometry of C_60: a rigorous approach via Molecular Mechanics
Manuel Friedrich, Paolo Piovano, Ulisse Stefanelli
Molecular Mechanics describes molecules as particle configurations interacting via classical potentials. These {\it configurational energies} usually consist of the sum of differen…