Geodesic
Boundary value problems of mechanics for shape memory alloys
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 97-110

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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, boundary value problems, limit loads.
Mots-clés : constitutive equations 
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     author = {A. A. Movchan and S. A. Kazarina and A. E. Mashikhin and I. V. Mishustin and E. B. Saganov and P. A. Safronov},
     title = {Boundary value problems of mechanics for shape memory alloys},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {97--110},
     publisher = {mathdoc},
     volume = {157},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a11/}
}
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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. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 97-110. http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a11/