A microscopically motivated constitutive model for shape memory alloys: Formulation, analysis and computations

0457352 - ÚT 2017 RIV US eng J - Journal Article
Frost, Miroslav - Benešová, B. - Sedlák, P.
A microscopically motivated constitutive model for shape memory alloys: Formulation, analysis and computations.
Mathematics and Mechanics of Solids. Roč. 21, č. 3 (2016), s. 358-382. ISSN 1081-2865. E-ISSN 1741-3028
R&D Projects: GA ČR GA13-13616S; GA ČR GAP201/10/0357
Institutional support: RVO:61388998
Keywords : shape memory alloys * constitutive model * generalized standard materials * dissipation * energetic solution
Subject RIV: BA - General Mathematics
Impact factor: 2.953, year: 2016
http://mms.sagepub.com/content/21/3/358

We present a three-dimensional constitutive model for NiTi polycrystalline shape memory alloys exhibiting transformations between three solid phases (austenite, R-phase, martensite). The “full modelling sequence“ comprised of formulation of modelling assumptions, construction of the model, mathematical analysis and numerical implementation and validation is presented. Namely, by formulating micromechanics-inspired modelling assumptions we concentrate on describing the dissipation mechanism: a refined form of this description makes our model especially useful for complex loading paths.
Permanent Link: http://hdl.handle.net/11104/0258646