Shape memory alloys as gradient-polyconvex materials

Martin Kružík; Petr Pelech; Anja Schlömerkemper

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arXiv · 1807.09855

Shape memory alloys as gradient-polyconvex materials

Martin Kružík·Petr Pelech·Anja Schlömerkemper

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Abstract

We show existence of an energetic solution to a model of shape memory alloys in which the elastic energy is described by means of a gradient-polyconvex functional. This allows us to show existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Resulting deformations are orientation-preserving and injective everywhere in a domain representing the specimen.

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Martin Kružík, Petr Pelech, Anja Schlömerkemper. 2018-07-25. Shape memory alloys as gradient-polyconvex materials. https://arxiv.org/abs/1807.09855

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