A quasi-monolithic phase-field description for orthotropic anisotropic fracture with adaptive mesh refinement and primal–dual active set method

authored by
Nima Noii, Meng Fan, Thomas Wick, Yan Jin
Abstract

In this work, thermodynamically consistent phase-field fracture frameworks for transversely isotropic and orthotropic settings are proposed. We formulate an anisotropic crack phase-field via a penalization approach for each family of fibers. The resulting model is augmented with thermodynamical arguments and then carefully analyzed from a mechanical perspective. The fracture dissipation inequality to prevent crack healing is imposed via a primal–dual active set strategy. Predictor–corrector mesh adaptivity allows to work with small length-scale parameters at a reasonable computational cost. Due to the importance of laminated structures for industrial applications, fracture responses for transversely isotropic and orthotropic materials are performed. Therein, several studies are conducted that include comparisons of anisotropic formulations with Griffith's critical elastic energy release rate and with specific critical fracture energy formulations, as well as non-split and split approaches.

Organisation(s)
Institute of Continuum Mechanics
Institute of Applied Mathematics
External Organisation(s)
Research Institute of Petroleum Exploration and Development
China Univeristy of Petroleum - Beijing
Université Paris-Saclay
Type
Article
Journal
Engineering fracture mechanics
Volume
258
ISSN
0013-7944
Publication date
12.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Materials Science(all), Mechanics of Materials, Mechanical Engineering
Electronic version(s)
https://doi.org/10.1016/j.engfracmech.2021.108060 (Access: Closed)
 

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