arXiv:1807.09855 Abstract | arXiv Analytics

arXiv:1807.09855 [math.AP]Abstract References Reviews Resources

Shape memory alloys as gradient-polyconvex materials

Martin Kružík, Petr Pelech, Anja Schlömerkemper

Published 2018-07-25Version 1

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.

Categories: math.AP

Keywords: shape memory alloys, gradient-polyconvex materials, sobolev spaces, elastic energy, gradient-polyconvex functional

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arXiv:1807.09855 [math.AP]Abstract References Reviews Resources

Shape memory alloys as gradient-polyconvex materials

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Shape memory alloys as gradient-polyconvex materials

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arXiv:1807.09855 [math.AP]Abstract References Reviews Resources