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Framework and Numerical Algorithm for a Phase Field Fracture Model

Framework and Numerical Algorithm for a Phase Field Fracture Model

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.

Author Details

S. Karthik

A. Nasedkina

A. Nasedkin

A. Rajagopal