Instytut Podstawowych Problemów Techniki
Polskiej Akademii Nauk


P.E. Farrell

Ostatnie publikacje
1.  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

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

Kategoria A Plus


logo ippt            ul. Pawińskiego 5B, 02-106 Warszawa
  +48 22 826 12 81 (centrala)
  +48 22 826 98 15

Znajdź nas

© Instytut Podstawowych Problemów Techniki Polskiej Akademii Nauk 2024