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We prove that microstructures in shape-memory alloys have a self-similar refinement pattern close to austenite-martensite interfaces, working within the scalar Kohn-Müller model. The latter is based on nonlinear elasticity and includes a singular pe
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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 a transition from a parameter regime in which uniform structures are f
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bce8a294d44dc70dd7c2f1f33baedc1a
http://arxiv.org/abs/1512.07023
http://arxiv.org/abs/1512.07023
Autor:
Johannes Diermeier
Publikováno v:
PAMM. 15:541-542
Publikováno v:
Scopus-Elsevier
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis
This paper is devoted to the construction of generalized multiscale Young measures, which are the extension of Pedregal's multiscale Young measures [Trans. Amer. Math. Soc., 358 (2006), pp. 591--60...