Abstract
A simple model for the isothermic modeling of shape memory alloys (SMA) is introduced. The study of the arising phase transitions and of the pseudoelastic behaviour requires the application of nonconvex and nons-mooth optimization techniques. Quasi differentiability (QD) and difference convex (DC) methods are used here. Results concerning the global properties and the optimality conditions of DC functions can be applied for the study of stable and metastable equilibria of the SMA mechanical structure. Furthermore, relaxation methods can be used for structural analysis purposes.
This research was supported by the Russian Foundation for Fundamental Studies (grant RFFI No. 97-01-00499).
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Polyakova, L.N., Stavroulakis, G.E. (2000). QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys. In: Demyanov, V., Rubinov, A. (eds) Quasidifferentiability and Related Topics. Nonconvex Optimization and Its Applications, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3137-8_9
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DOI: https://doi.org/10.1007/978-1-4757-3137-8_9
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