Derivation of a universal relation between tangential stress and shear strain intensities in describing reversible martensitic deformation within the framework of a synthetic model

Conclusion

The concept of slipping can be used in designing modern phenomenological models for the nonlinear deformation of polycrystals of various nature.

Among the approaches based on the concept of slipping, the synthetic approach is one of the most effective and mathematically justified.

The proposed synthetic model of phase deformation was used to describe a reversible isothermal martensitic reaction. The process of accumulation and recovery of strain under loading and unloading was described. Allowance for the microstructural peculiarities of martensitic transformations leads to understanding of macroscopic regularities in the deformation behavior of polycrystals. Use of the above averaging method enables one to describe analytically reversible changes in material properties for various types of stressed states. A universal relationship between the tangential stress and shear strain intensities is derived. The constitutive relations of the model are brought to a form analogous to the relations of the deformation theory of plasticity. Good qualitative agreement with the experimental data was obtained.

In addition to the transition considered, phase reactions of the first kind under different strength and thermal conditions can be described within the framework of this model.