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Journal Article

A sharp interface evolutionary model for shape memory alloys

Knüpfer H., Kružík Martin

: ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik vol.96, 11 (2016), p. 1347-1355

: GA14-15264S, GA ČR

: Polyconvexity, shape memory materials, rate-independent problems

: 10.1002/zamm.201500209

: http://library.utia.cas.cz/separaty/2016/MTR/kruzik-0465809.pdf

(eng): We showthe 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 in [49]. 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.

: BA