Year: 2023
Author: S. Karthik, A. Nasedkina, A. Nasedkin, A. Rajagopal
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.280921.270722
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 1 : pp. 162–176
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Phase field method fracture sharp crack staggered approach and nonlinear finite element method.