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Phenomenological Model of Changes in Phase-Structural Deformations in Shape Memory Alloys

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Abstract

A combined model of the phase-structural deformation of shape memory alloys is proposed, within the framework of which the inelastic deformation of these materials can change, both due to phase transformations and due to structural transitions. The model of the development of deformations due to the structural transition uses the concept of a loading surface, isotropic and translational hardening, and an associated flow law. The model of deformation development due to thermoelastic phase (direct or reverse) transformations does not appeal to the concept of loading surface, adequately describing the development of phase deformations, which is observed at constant and even decreasing stresses. The model takes into account the experimentally observed effect of the second mechanism on the first (cross-hardening), which consists in the fact that when deformations change due to phase transformation, the radius of the loading surface changes, which determines the deformation process during a structural transition. Within the framework of the model, a number of phenomena unusual for the theory of plastic flow are observed, such as a decrease in the radius of the loading surface, which can occur even with an increase in inelastic deformations, an increase in this radius, including with a decrease in inelastic deformations, a change in the radius of the loading surface in a situation where the point representing stressed state, moves, or even rests in an elastic region.

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Funding

The work was carried out within the framework of the state budgetary theme, state registration number AAAA-A19-119012290118-3 with partial financial support from the Russian Foundation for Basic Research, grant no. 20-01-00240.

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Authors and Affiliations

  1. Institute of Applied Mechanics of Russian Academy of Sciences, 125040, Moscow, Russia

    A. A. Movchan

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  1. A. A. Movchan
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Correspondence to A. A. Movchan.

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Translated by M. K. Katuev

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Movchan, A.A. Phenomenological Model of Changes in Phase-Structural Deformations in Shape Memory Alloys. Mech. Solids 55, 573–583 (2020). https://doi.org/10.3103/S0025654420040111

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