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Framework and Numerical Algorithm for a Phase Field Fracture Model
S. Karthik, A. Nasedkina, A. Nasedkin,
Published in Global Science Press
2022
Volume: 13
   
Issue: 1
Pages: 162 - 176
Abstract
A phase field fracture model for quasi-brittle material in 2D is implemented in Abaqus software. The phase field damage variables 0 and 1 define undamaged and damaged regions of the material and simplify crack surface tracking. On the other hand, one has to use a fine spatial discretization for the smooth distribution of the phase field variable regularized by a small length scale parameter, which makes the method computationally expensive. At the fully damaged regions both the stiffness and stress reach zero. The displacements and damage are determined by a staggered approach, and a few standard benchmark fracture problems are used to demonstrate the work of the phase field fracture model under consideration. © 2023 Global-Science Press.
About the journal
JournalEast Asian Journal on Applied Mathematics
PublisherGlobal Science Press
ISSN20797362