A sharp-interface model describing static equilibrium configurations of shape memory alloys by means of interfacial polyconvex energy density introduced by Šilhavý and extended to a quasistatic situation by Knüpfer and Kružík is computationally tested. Elastic properties of variants of martensite and the austenite are described by polyconvex energy density functions. Volume fractions of particular variants are modeled by a map of bounded variation. In addition, energy stored in martensite–martensite and austenite–martensite interfaces is measured by an interface-polyconvex function. It is assumed that transformations between material variants are accompanied by energy dissipation, which, in our case, is positively one-homogeneous giving rise to a rate-independent model. Various two-dimensional computational examples are presented and the computer code used is made available for download.
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