Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys

0517655 - ÚT 2020 RIV GB eng J - Journal Article
Frost, Miroslav - Kružík, Martin - Valdman, Jan
Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys.
Mathematics and Mechanics of Solids. Roč. 24, č. 8 (2019), s. 2619-2635. ISSN 1081-2865. E-ISSN 1741-3028
R&D Projects: GA ČR GA18-03834S
Institutional support: RVO:61388998 ; RVO:67985556
Keywords : interfacial polyconvexity * numerical solution * shape memory alloys
OECD category: Condensed matter physics (including formerly solid state physics, supercond.); Condensed matter physics (including formerly solid state physics, supercond.) (UTIA-B)
Impact factor: 2.040, year: 2019
Method of publishing: Limited access
https://journals.sagepub.com/doi/full/10.1177/1081286519841103#

A sharp-interface model describing static and quasi-static equilibrium configurations of shape memory alloys by means of interfacial polyconvex energy density is computationally tested. Elastic properties of variants of martensite and the austenite are described by polyconvex energy density functions. In addition, energy stored in martensite–martensite and austenite–martensite interfaces is measured by an interface-polyconvex function. It is assumed that transformations between material variants are accompanied by energy dissipation, which, in our case, is positively one-homogeneous giving rise to a rate-independent model
Permanent Link: http://hdl.handle.net/11104/0304564