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math.AP2015★ 20 cited
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…
math.AP2015
Low volume-fraction microstructures in martensites and crystal plasticity
Sergio Conti, Barbara Zwicknagl
We study microstructure formation in two nonconvex singularly-perturbed variational problems from materials science, one modeling austenite-martensite interfaces in shape-memory al…