Juhász, Levente; Andrä, Heiko; Hesebeck, Olaf A simple model for shape memory alloys under multi-axial non-proportional loading. (English) Zbl 1012.74052 Hoffmann, Karl-Heinz (ed.), Smart materials. Proceedings of the 1st caesarium, Bonn, Germany, November 17-19, 1999. Berlin: Springer. 51-65 (2001). From the summary: We present a mathematical description of shape memory alloys within the framework of continuum mechanics, where the spatially multidimensional case is considered. A model is introduced which correctly describes not only all well-studied shape memory effects (e.g. one-way-effect, pseudoelasticity), but also the more complex behaviour (e.g. reorientation of stress-induced martensite). The key idea is a new set of internal state variables, which are averaged values for a representative volume element of the polycrystalline material.For the entire collection see [Zbl 0954.00052]. MSC: 74N05 Crystals in solids 74A15 Thermodynamics in solid mechanics 74M05 Control, switches and devices (“smart materials”) in solid mechanics 80A22 Stefan problems, phase changes, etc. Keywords:multi-axial non-proportional loading; free energy; thermodynamical forces; averaged representative volume element; shape memory alloys; continuum mechanics; reorientation of stress-induced martensite; internal state variables; polycrystalline material PDFBibTeX XMLCite \textit{L. Juhász} et al., in: Smart materials. Proceedings of the 1st caesarium, Bonn, Germany, November 17--19, 1999. Berlin: Springer. 51--65 (2001; Zbl 1012.74052)