@Article{EAJAM-13-162,
author = {Karthik , S.Nasedkina , A.Nasedkin , A. and Rajagopal , A.},
title = {Framework and Numerical Algorithm for a Phase Field Fracture Model},
journal = {East Asian Journal on Applied Mathematics},
year = {2023},
volume = {13},
number = {1},
pages = {162--176},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.280921.270722},
url = {http://global-sci.org/intro/article_detail/eajam/21307.html}
}