20 citations · 20 across the 2 of their papers we have counts for
3 papers
Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys
Sergio Conti, Johannes Diermeier, David Melching +1
We consider a singularly-perturbed two-well problem in the context of planar geometrically linear elasticity to model a rectangular martensitic nucleus in an austenitic matrix. We…
Generalized multi-scale Young measures
Adolfo Arroyo-Rabasa, Johannes Diermeier
This paper is devoted to the construction of generalized multi-scale Young measures, which are the extension of Pedregal's multi-scale Young measures [Trans. Amer. Math. Soc. 358 (…
Deformation concentration for martensitic microstructures in the limit of low volume fraction
Sergio Conti, Johannes Diermeier, Barbara Zwicknagl
We consider a singularly-perturbed nonconvex energy functional which arises in the study of microstructures in shape memory alloys. The scaling law for the minimal energy predicts…