2020/06/05 by Alba Muixí, Onofre Marco, Muixí, Alba +5 · 1 citation
Engineering · Materials Science · #Aluminum Alloy Microstructure Properties #Computational Engineering #FOS: Computer and information sciences #Finance #Numerical methods in engineering #Solidification and crystal growth phenomena #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2006.03617
openalex publication_date 2020/06/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
This paper presents an adaptive strategy for phase-field simulations with\ntransition to fracture. The phase-field equations are solved only in small\nsubdomains around crack tips to determine propagation, while an XFEM\ndiscretization is used in the rest of the domain to represent sharp cracks,\nenabling to use a coarser discretization and therefore reducing the\ncomputational cost. Crack-tip subdomains move as cracks propagate in a fully\nautomatic process. The same computational mesh is used during all the\nsimulation, with an h-refined approximation in the elements in the crack-tip\nsubdomains. Continuity of the displacement between the refined subdomains and\nthe XFEM region is imposed in weak form via Nitsche's method. The robustness of\nthe strategy is shown for some numerical examples in 2D and 3D, including\nbranching and coalescence tests.\n