Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

• Published in: Theoretical and applied fracture mechanics Vol. 107; p. 102446
• Main Authors: Kristensen, Philip K., Martínez-Pañeda, Emilio
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.06.2020; Elsevier BV
• Subjects: BFGS; Boundary value problems; Computer simulation; Computing costs; Convergence; Crack propagation; Fatigue cracking; Fatigue failure; Finite element analysis; Fracture; Fracture mechanics; High cycle fatigue; Phase field fracture; Quasi Newton methods; Quasi-Newton; Fracture; Finite element analysis; Quasi-Newton; Phase field fracture; BFGS

•The potential of monolithic quasi-Newton solution schemes for phase field fracture is demonstrated.•Convergence is achieved in complex problems across quasi-static fracture, phase field fatigue and dynamic cracking.•Computation times are reduced by orders of magnitude relative to staggered approach...