Brokate, M.; Theel, J. Some numerical simulations of pseudoelastic hysteresis in shape memory alloys. (English) Zbl 0785.73032 Contin. Mech. Thermodyn. 5, No. 4, 265-280 (1993). Summary: Recently, B. Fedelich and G. Zanzotto [Contin. Mech. Thermodyn. 3, 215-276 (1991)] have developed a model for the nonisothermal pseudoelastic behaviour of a shape memory material and have conducted some numerical simulation experiments. We present a different method for the numerical solution and discuss it in comparison with their results. Cited in 2 Documents MSC: 74S30 Other numerical methods in solid mechanics (MSC2010) 74C99 Plastic materials, materials of stress-rate and internal-variable type 74A15 Thermodynamics in solid mechanics 80A22 Stefan problems, phase changes, etc. Keywords:nonisothermal pseudoelastic behaviour PDFBibTeX XMLCite \textit{M. Brokate} and \textit{J. Theel}, Contin. Mech. Thermodyn. 5, No. 4, 265--280 (1993; Zbl 0785.73032) Full Text: DOI References: [1] Sprekels, J.: Shape memory alloys: Mathematical models for a class of first order solid-solid phase transition in metals, Control and Cybernetics 19 (1990) 287-308 · Zbl 1229.49048 [2] Niezgódka, M., Sprekels, J.: Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys, Numer. Math. 58 (1991) 759-778 · Zbl 0715.65099 · doi:10.1007/BF01385653 [3] Müller, I., Xu, H.: On the pseudo-elastic hysteresis, Acta Metall. 39 (1991) 263-271 · doi:10.1016/0956-7151(91)90305-K [4] Fedelich, B., Zanzotto, G.: One-dimensional quasistatic nonisothermal evolution of shape-memory material inside the hysteresis loop, Continuum Mech. Thermodyn. 3 (1991) 215-276 · Zbl 0825.73049 · doi:10.1007/BF01126410 [5] Fu, S., Müller, I., Xu, H.: Experimental and theoretical investigation of the pseudoelastic hysteresis, to appear [6] Krasnoselskii, M. A., Pokrovskii, A. V.: Systems with hysteresis, Springer 1989. Russian edition: Nauka, Moscow, 1983 [7] Wilmanski, K.: A model of stress-induced patterns in shape memory alloys, submitted · Zbl 0774.73016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.