A sharp interface evolutionary model for shape memory alloys

• Verfasst von: Knüpfer, Hans [VerfasserIn]
• Verfasst von: Kružík, Martin [VerfasserIn]
• Titel: A sharp interface evolutionary model for shape memory alloys
• Verf.angabe: Hans Knüpfer and Martin Kružík
• Umfang: 9 S.
• Fussnoten: Published online 4 April 2016 ; Gesehen am 25.06.2018
• Titel Quelle: Enthalten in: ZAMM
• Jahr Quelle: 2016
• Band/Heft Quelle: 96(2016), 11, S. 1347-1355
• ISSN Quelle: 1521-4001
• DOI: doi:10.1002/zamm.201500209
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1576816397

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 [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.