8 citations · 12 across the 8 of their papers we have counts for
5 papers · 1 filter
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
Elisa Davoli, Manuel Friedrich
We establish a quantitative rigidity estimate for two-well frame-indifferent nonlinear energies, in the case in which the two wells have exactly one rank-one connection. Building u…
Crystallization in the hexagonal lattice for ionic dimers
Manuel Friedrich, Leonard Kreutz
We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-range…
A compactness result in and applications to -convergence for free discontinuity problems
Manuel Friedrich
We present a compactness result in the space which extends the classical statement due to Ambrosio to problems without a priori bounds on the deformations. As an applicati…
Graphene ground states
Manuel Friedrich, Ulisse Stefanelli
Graphene is locally two-dimensional but not flat. Nanoscale ripples appear in suspended samples and rolling-up often occurs when boundaries are not fixed. We address this variety o…
Ripples in graphene: A variational approach
Manuel Friedrich, Ulisse Stefanelli
Suspended graphene samples are observed to be gently rippled rather than being flat. In [M. Friedrich, U. Stefanelli. Graphene ground states, arXiv:1802.05049], we have checked tha…