13 citations · 23 across the 3 of their papers we have counts for
3 papers
math.AP2017★ 5 cited
A Compactness and Structure Result for a Discrete Multi-Well Problem with Symmetry in Arbitrary Dimension
Georgy Kitavtsev, Gianluca Lauteri, Stephan Luckhaus +1
In this note we combine the "spin-argument" from [KLR15] and the -dimensional incompatible, one-well rigidity result from [LL16], in order to infer a new proof for the compactne…
math.AP2017★ 5 cited
Geometric Rigidity Estimates for Incompatible Fields in Dimension 3
Gianluca Lauteri, Stephan Luckhaus
We prove geometric rigidity inequalities for incompatible fields in dimension higher than 2. We are able to obtain strong scaling-invariant estimates in the supercritical reg…
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…