13 citations · 47 across the 9 of their papers we have counts for
5 papers · 1 filter
An Energy Estimate for Dislocation Configurations and the Emergence of Cosserat-Type Structures in Metal Plasticity
Gianluca Lauteri, Stephan Luckhaus
We investigate low energy structures of a lattice with dislocations in the context of nonlinear elasticity. We show that these low energy configurations exhibit in the limit a Coss…
Study of a model for reference-free plasticity
Stephan Luckhaus, Jens Wohlgemuth
We investigate a Kac-type many particle model that allows a reference-free description of plastic deformation. In the framework of the model a solid body is described by a set of p…
Surface Energies Arising in Microscopic Modeling of Martensitic Transformations
Georgy Kitavtsev, Stephan Luckhaus, Angkana Rüland
In this paper we construct and analyze a two-well Hamiltonian on a 2D atomic lattice. The two wells of the Hamiltonian are prescribed by two rank-one connected martensitic twins, r…
Langevin dynamics with a tilted periodic potential
Gioia Carinci, Stephan Luckhaus
We study a Langevin equation for a particle moving in a periodic potential in the presence of viscosity and subject to a further external field . For a suitable choice of th…
Nonlinear elastic free energies and gradient Young-Gibbs measures
Roman Kotecký, Stephan Luckhaus
We investigate, in a fairly general setting, the limit of large volume equilibrium Gibbs measures for elasticity type Hamiltonians with clamped boundary conditions. The existence o…