2 papers
math.AP2020
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…
math.AP2019
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 (…