13 citations · 25 across the 3 of their papers we have counts for
3 papers
math-ph2016★ 13 cited
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…
math-ph2012
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…
math.AP2011★ 12 cited
Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients
Jerome Coville, Nicolas Dirr, Stephan Luckhaus
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear pa…