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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.
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