@Article{IJNAM-19-6,
author = {Zhang, Fei and Weizhang, Huang and Xianping, Li and Zhang, Shicheng},
title = {A Study on Phase-Field Models for Brittle Fracture},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {6},
pages = {793--821},
abstract = {<p style="text-align: justify;">In the phase-field modeling of brittle fracture, anisotropic constitutive assumptions
for the degradation of stored elastic energy due to fracture are crucial to preventing cracking in
compression and obtaining physically sound numerical solutions. Three energy decomposition
models, the spectral decomposition, the volumetric-deviatoric split, and a modified volumetric-deviatoric split, and their effects on the performance of the phase-field modeling are studied.
Meanwhile, anisotropic degradation of stiffness may lead to a small amount of energy remaining on
crack surfaces, which violates crack boundary conditions and can cause unphysical crack openings
and propagation. A simple yet effective treatment for this is proposed: define a critically damaged
zone with a threshold parameter and then degrade both the active and passive energies in the zone.
A dynamic mesh adaptation finite element method is employed for the numerical solution of the
corresponding elasticity system. Four examples, including two benchmark ones, one with complex
crack systems, and one based on an experimental setting, are considered. Numerical results show
that the spectral decomposition and modified volumetric-deviatoric split models, together with
the improvement treatment of crack boundary conditions, can lead to crack propagation results
that are comparable with the existing computational and experimental results. It is also shown
that the numerical results are not sensitive to the parameter defining the critically damaged zone.</p>},
issn = {2617-8710},
doi = {https://doi.org/2022-IJNAM-21034},
url = {https://global-sci.com/article/82960/a-study-on-phase-field-models-for-brittle-fracture}
}