Phase field method for quasi‐static brittle fracture: an adaptive algorithm based on the dual variable

Fleurianne Bertrand

doi:10.1002/pamm.202100213

Phase field method for quasi‐static brittle fracture: an adaptive algorithm based on the dual variable

Fleurianne Bertrand^*

^*Corresponding author for this work

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Abstract

An adaptive phase field method for quasi-static brittle fracture is developed. The adaptive refinement of the meshes is based on the error between two stresses: the discontinuous post-processed stresses computed with the displacement approximation and a H(div) conforming dual approximation of the stresses. The algorithm is validated by solving a benchmark problem considering a plate with an edge crack subjected to tension load.

Original language	English
Article number	e202100213
Journal	Proceedings in Applied Mathematics and Mechanics
Volume	21
Issue number	1
DOIs	https://doi.org/10.1002/pamm.202100213
Publication status	Published - Dec 2021

Keywords

UT-Hybrid-D

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Bertrand-2021-Phase-field-method-for-quasistatic-Final published version, 917 KBLicence: CC BY-NC-ND

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AB - An adaptive phase field method for quasi-static brittle fracture is developed. The adaptive refinement of the meshes is based on the error between two stresses: the discontinuous post-processed stresses computed with the displacement approximation and a H(div) conforming dual approximation of the stresses. The algorithm is validated by solving a benchmark problem considering a plate with an edge crack subjected to tension load.

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Phase field method for quasi‐static brittle fracture: an adaptive algorithm based on the dual variable

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