Abstract
In this chapter, we study the hysteresis effects that are characteristic for the so-called shape memory alloys. Among these materials, there are metallic alloys like Cu Zn, Cu Zn Al, Au Cu Zn, Cu Al Ni and Ni Ti. The hysteretic behaviour of the load-deformation curves for these alloys is accompanied by the so-called shape memory effect which has been exploited in various technological applications.
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References
For a description of these very complex phenomena, we refer the reader to Müller-Xu (1991); see also Fedelich-Zanzotto (1991), Jiang-Xu (1992) and Huo (1992). A mathematical treatment can be found in Bubner (1995).
See, for example, Müller-Wilmański (1980,1981), Achenbach-Müller (1983), Müller (1986, 1989), and Bornert-Müller (1990).
Cf. Falk (1980, 1982, 1983a, 1983b, 1989, 1990).
For a proof, we refer the reader to Henry (1981), Section 1.6.
For details, we refer the reader to Klein (1995a).
See Niezgódka-Sprekels (1991).
See also Klein (1995a).
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© 1996 Springer-Verlag New York, Inc.
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Brokate, M., Sprekels, J. (1996). Hysteresis Effects in Shape Memory Alloys. In: Hysteresis and Phase Transitions. Applied Mathematical Sciences, vol 121. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4048-8_6
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DOI: https://doi.org/10.1007/978-1-4612-4048-8_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8478-9
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