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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 3, Pages 97–110
(Mi uzku1325)
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Boundary value problems of mechanics for shape memory alloys
A. A. Movchana, S. A. Kazarinaa, A. E. Mashikhinb, I. V. Mishustina, E. B. Saganovc, P. A. Safronovc a Institute of Applied Mechanics RAS, Moscow
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
c Moscow Aviation Institute (National Research University), Moscow, Russia
Abstract:
The variants of constitutive equation systems for shape memory alloys (SMAs) are considered. Different statements of boundary value problems of deformable solids mechanics for these materials (non-coupled, coupled, and twice-coupled problems; stability problems caused by phase and structural transitions; limit load problems in the framework of solid-phase structural analysis) are discussed. Some results of the analytical and numerical solutions of bending and twisting problems, analogs of the Lame problems for phase and structural transitions in a SMA tube, as well as stability problem for rods, plates, and shells made of SMAs are presented.
Keywords:
shape memory alloys, constitutive equations, boundary value problems, limit loads.
Received: 15.06.2015
Citation:
A. A. Movchan, S. A. Kazarina, A. E. Mashikhin, I. V. Mishustin, E. B. Saganov, P. A. Safronov, “Boundary value problems of mechanics for shape memory alloys”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 3, Kazan University, Kazan, 2015, 97–110
Linking options:
https://www.mathnet.ru/eng/uzku1325 https://www.mathnet.ru/eng/uzku/v157/i3/p97
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Abstract page: | 325 | Full-text PDF : | 156 | References: | 38 |
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