Issue 70

D. Kosov et alii, Frattura ed Integrità Strutturale, 70 (2024) 133-156; DOI: 10.3221/IGF-ESIS.70.08

ANSYS implementation of the phase field fracture approach

Dmitry Kosov * , Andrey Tumanov, Valery Shlyannikov FRC Kazan Scientific Center of Russian Academy of Sciences, Russia dima45001@gmail.com, https://orcid.org/0000-0003-1510-4884 tymanoff@rambler.ru, https://orcid.org/0000-0002-4969-3464 shlyannikov@mail.ru, https://orcid.org/0000-0003-2468-9300

Citation: Kosov, D.A., Tumanov, A.V., Shlyannikov, V.N., Phase field fracture modeling in the frameworks of ANSYS implementation, Frattura ed Integrità Strutturale, 70 (2024) 133-156.

Received: 20.06.2024 Accepted: 14.08.2024 Published: 15.08.2024 Issue: 10.2024

Copyright: © 2024 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

K EYWORDS . Phase field fracture, Finite element analysis, Mixed mode fracture, Surface cracks, ANSYS.

I NTRODUCTION

he phase field fracture approach in the recently literature enjoys great popularity and has been successfully applied to model brittle fracture, ductile damage, hydrogen assisted cracking, fatigue crack propagation, to name a few. This concept has enabled predicting complex fracture phenomena such as crack initiation, coalescence, branching, kinking and bifurcation. Phase field methods for brittle fracture builds upon from the principal study of Francfort and Marigo [1], who were the first to employ the Griffith’s thermodynamic framework into variational formulations by treated elastic fracture as an energy minimization problem. According to the Griffith’s energy balance crack growth will take place if a critical energy release rate is attained. Bourdin et al. [2] regularized the discrete crack topology by means of a scalar damage variable and a diffuse crack representation. This variable is termed as the phase field, or phase field order parameter. In this, brittle fracture is numerically treated as a coupled, i.e., displacement and phase field problem. By Miehe et al. [3] has been introduced a phase field law primarily to model brittle fracture which than was employed in several studies to model ductile fracture. T

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