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arXiv · 2206.12576

A multiphase phase-field study of three-dimensional martensitic twinned microstructures at large strains

Anup Basak·Valery I. Levitas
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Abstract

A thermodynamically consistent multiphase phase-field approach for stress and temperature-induced martensitic phase transformation at the nanoscale and under large strains is developed. A total of N independent order parameters are considered for materials with N variants, where one of the order parameters describes A <-> M transformations and the remaining N-1 independent order parameters describe the transformations between the variants. A non-contradictory gradient energy is used within the free energy of the system to account for the energies of the interfaces. In addition, a non-contradictory kinetic relationships for the rate of the order parameters versus thermodynamic driving forces is suggested. As a result, a system of consistent coupled Ginzburg-Landau equations for the order parameters are derived. The crystallographic solution for twins within twins is presented for the cubic to tetragonal transformations. A 3D complex twins within twins microstructure is simulated using the developed phase-field approach and a large-strain-based nonlinear finite element method. A comparative study between the crystallographic solution and the simulation result is presented.

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Anup Basak, Valery I. Levitas. 2022-06-25. A multiphase phase-field study of three-dimensional martensitic twinned microstructures at large strains. https://doi.org/10.1007/s00161-022-01177-6

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