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I.V. Mishustin and A.A. Movchan, "Modeling of Phase and Structure Transformations Occurring in Shape Memory Alloys under Nonmonotonically Varying Stresses," Mech. Solids. 49 (1), 27-39 (2014)
Year 2014 Volume 49 Number 1 Pages 27-39
DOI 10.3103/S002565441401004X
Title Modeling of Phase and Structure Transformations Occurring in Shape Memory Alloys under Nonmonotonically Varying Stresses
Author(s) I.V. Mishustin (Institute of Applied Mechanics, Russian Academy of Sciences, Leninskii pr-t 32A, Moscow, 117334 Russia, lewis@nm.ru)
A.A. Movchan (Institute of Applied Mechanics, Russian Academy of Sciences, Leninskii pr-t 32A, Moscow, 117334 Russia, movchan47@mail.ru)
Abstract A model of deformation of shape memory alloys (SMA) under nonmonotone loading is proposed. The model takes into account the fact that there is no strain hardening in the process of accumulation of the first phase transformation strains and describes both the usual hardening and the cross-hardening observed in martensite inelasticity experiments. Several examples illustrate the process of solving the model one-dimensional deformation problem with a given law of variation of the stress and the phase composition parameter and the problem on the direct transformation that occurs when cooling an SMA rod subjected to a constant bending moment.
Keywords shape memory alloy, phase and structure transformations, nonmonotone loading
References
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3.  A. A. Movchan, S. A. Kazarina, and Tant Zin Aung, "Analog of Theory of Plasticity for Describing Deformations of Shape Memory Alloys under Phase and Structure Transformations," Deform. Razrush. Mat., No. 9, 2-7 (2009).
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17.  A. A. Movchan, I. A. Movchan, and L. G. Sil'chenko, "Micromechanical Model of Nonlinear Deformation of Shape Memory Alloys in Phase and Structure Transformations," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 118-130 (2010) [Mech. Solids (Engl. Transl.) 45 (3), 406-416 (2010)].
18.  A. A. Movchan, I. A. Movchan, and L. G. Sil'chenko, "Effect of Structural Transformation and Deformation Nonlinearity on the Stability of a Shape Memory Alloy Rod," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 137-147 (2010) [Mech. Solids (Engl. Transl.) 45 (6), 876-884 (2010)].
19.  A. A. Movchan, L. G. Sil'chenko, and T. L. Sil'chenko, "Taking Account of the Martensite Inelasticity in the Reverse Phase Transformation in Shape Memory Alloys," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 44-56 (2011) [Mech. Solids (Engl. Transl.) 46 (2), 194-203 (2010)].
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21.  A. A. Movchan, "Consideration of the Elastic Modulus Variability and the Effect of Stresses on the Phase Composition in Shape Memory Alloys," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 79-90 (1998) [Mech. Solids (Engl. Transl.) 33 (1), 64-72 (1998)].
22.  A. A. Movchan and I. A. Movchan, "One-Dimensional Micromechanical Model of Nonlinear Deformation of Shape Memory Alloys under Direct and Inverse Thermoelastic Transformations," Mekh. Komp. Mater. Konstr. 13 (3), 297-322 (2007) [J. Comp. Mech. Design (Engl. Transl.)].
23.  A. A. Movchan, S. A. Kazarina, I. V. Mishustin, and I. A. Movchan, "Thermodynamical Justification of the Model of Nonlinear Deformation of Shape Memory Alloys in Phase and Structure Transformations," Deform. Razrush. Mater., No. 8, 2-9 (2009).
Received 07 September 2013
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