Title | Attaining regularization length insensitivity in phase-field models of ductile failure |
Publication Type | Journal Article |
Year of Publication | 2021 |
Authors | B Talamini, MR Tupek, AJ Stershic, T Hu, JW Foulk, JT Ostien, and JE Dolbow |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 384 |
Date Published | 10/2021 |
Abstract | A cohesive phase-field model of ductile fracture in a finite-deformation setting is presented. The model is based on a free-energy function in which both elastic and plastic work contributions are coupled to damage. Using a strictly variational framework, the field evolution equations, damage kinetics, and flow rule are jointly derived from a scalar least-action principle. Particular emphasis is placed on the use of a rational function for the stress degradation that maintains a fixed effective strength with decreasing regularization length. The model is employed to examine crack growth in pure mode-I problems through the generation of crack growth resistance (J-R) curves. In contrast to alternative models, the current formulation gives rise to J-R curves that are insensitive to the regularization length. Numerical evidence suggests convergence of local fields with respect to diminishing regularization length as well. |
DOI | 10.1016/j.cma.2021.113936 |
Short Title | Computer Methods in Applied Mechanics and Engineering |