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Tůma K., Rezaee Hajidehi M., Hron J.♦, Farrell P.E.♦, Stupkiewicz S., Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations,
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN: 0045-7825, DOI: 10.1016/j.cma.2021.113705, Vol.377, pp.113705-1-23, 2021 Streszczenie:
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. Słowa kluczowe:
phase-field method, finite-element method, large-scale simulations, shape memory alloys, nano-indentation Afiliacje autorów:
| Tůma K. | - | IPPT PAN | | Rezaee Hajidehi M. | - | IPPT PAN | | Hron J. | - | Charles University in Prague (CZ) | | Farrell P.E. | - | inna afiliacja | | Stupkiewicz S. | - | IPPT PAN |
|  | 200p. |
