Abstract
We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface‐polyconvex energy assigned, introduced by M. Šilhavý in . The model considers internal variables describing the evolving spatial arrangement of the material phases and a deformation mapping with its first‐order gradients. It allows for injectivity and orientation‐preservation of deformations. Moreover, the resulting material microstructures have finite length scales.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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