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arXiv · 2011.08802

Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations

K. Tůma·M. Rezaee-Hajidehi·J. Hron·P. E. Farrell·S. Stupkiewicz
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Abstract

Large-scale 3D martensitic microstructure evolution problems are studied using a finite-element discretization of a finite-strain phase-field model. The model admits an arbitrary crystallography of transformation and arbitrary elastic anisotropy of the phases, and incorporates Hencky-type elasticity, a penalty-regularized double-obstacle potential, and viscous dissipation. The finite-element discretization of the model is performed in Firedrake and relies on the PETSc solver library. The large systems of linear equations arising are efficiently solved using GMRES and a geometric multigrid preconditioner with a carefully chosen relaxation. The modeling capabilities are illustrated through a 3D simulation of the microstructure evolution in a pseudoelastic CuAlNi single crystal during nano-indentation, with all six orthorhombic martensite variants taken into account. Robustness and a good parallel scaling performance have been demonstrated, with the problem size reaching 150 million degrees of freedom.

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K. Tůma, M. Rezaee-Hajidehi, J. Hron, P. E. Farrell, S. Stupkiewicz. 2020-11-17. Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations. https://doi.org/10.1016/j.cma.2021.113705

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