Boundary value problems of mechanics for shape memory alloys

A. A. Movchan   ; S. A. Kazarina   ; A. E. Mashikhin   ; I. V. Mishustin   ; E. B. Saganov   ; P. A. Safronov

Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 97-110

Résumé

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.

Détail

Keywords: shape memory alloys, boundary value problems, limit loads.
Mots-clés : constitutive equations

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