A low volume-fraction limit for martensic microstructures in shape-memory alloys |
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| Authors: | Johannes Diermeier |
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| Institution: | Institut für Angewandte Mathematik, Universität Bonn, Endenicher Allee 60, 53115 Bonn |
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| Abstract: | We consider a variational model for the energy of deformations of shape-memory materials. We restrict ourselves to a scalar-valued, two dimensional simplification with two variants of martensite in which one of the variants has a much smaller volume fraction than the other one. We study the transition between a single phase and fine microstructures and compute the Γ-limit for one volume fraction tending to zero. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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