A sharp interface evolutionary model for shape memory alloys

Hans Knüpfer; Martin Kružík

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arXiv · 1508.02990

A sharp interface evolutionary model for shape memory alloys

Hans Knüpfer·Martin Kružík

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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. 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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Hans Knüpfer, Martin Kružík. 2015-08-12. A sharp interface evolutionary model for shape memory alloys. https://arxiv.org/abs/1508.02990

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