Attaining regularization length insensitivity in phase-field models of ductile failure

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Talamini, B; Tupek, MR; Stershic, AJ; Hu, T; Foulk, JW; Ostien, JT; Dolbow, JE

Published Date

  • October 1, 2021

Published In

Volume / Issue

  • 384 /

International Standard Serial Number (ISSN)

  • 0045-7825

Digital Object Identifier (DOI)

  • 10.1016/j.cma.2021.113936

Citation Source

  • Scopus