Mechanics of Solids

Stochastic superelastic properties of materials with phase transformations

L. A. Saraev

Samara National Research University, Samara, 443086, Russian Federation

Abstract: The study is devoted to the impact of stochastic isothermal phase transformations in an unstable material on its superelastic hardening.
A stochastic differential equation is derived to describe the dynamics of nucleation, growth of the new phase volume, and its interaction with the parent phase, depending on the level of irreversible structural deformations.
Macroscopic constitutive relations are established for the unstable material, incorporating the stochastic nature of phase transformations and their dependence on structural deformations. Effective elastic moduli of the material are calculated based on these relations.
Stochastic differential equations for direct and reverse phase transitions are formulated.
Numerical simulations demonstrate strong agreement with experimental data, validating the proposed model.

Keywords: phases, macroscopic properties, elastic moduli, statistical homogeneity, structure, structural deformations, phase transition, ergodicity, effective relations

UDC: 539.374

MSC: 74A60, 74A40, 74A05

Received: November 5, 2024
Revised: December 16, 2024
Accepted: December 20, 2024
First online: December 25, 2024

DOI: 10.14498/vsgtu2129

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