Abstract:
An equation of state for a shape memory alloy is derived using a formalized approach to the construction of finite-deformation constitutive equations for complex media. The obtained equations were tested for coupled elastic–inelastic boundary-value problems of deformation of a sample of a shape-memory during forward and reverse martensitic transformations.
Citation:
A. A. Rogovoi, O. S. Stolbova, “Modeling elastic–inelastic processes in shape memory alloys at finite deformations”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 148–162; J. Appl. Mech. Tech. Phys., 54:2 (2013), 295–307
This publication is cited in the following 3 articles:
Olga S. Stolbova, Oleg V. Stolbov, “Modeling the Bending of a Bi-Layer Cantilever with Shape Memory Controlled by Magnetic Field and Temperature”, Modelling, 5:4 (2024), 1924
A. A. Rogovoy, O. S. Stolbova, “Mathematical Modeling of Finite Deformations in Shape Memory Materials”, Lobachevskii J Math, 42:8 (2021), 2037
Anatoli Rogovoy, Olga Stolbova, “Modeling the magnetic field control of phase transition in ferromagnetic shape memory alloys”, International Journal of Plasticity, 85 (2016), 130