A quasi-monolithic phase-field description for mixed-mode fracture using predictor–corrector mesh adaptivity

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  • Research Institute of Petroleum Exploration and Development
  • China Univeristy of Petroleum - Beijing
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Original languageEnglish
Pages (from-to)2879-2903
Number of pages25
JournalEngineering with computers
Volume38
Early online date7 Jun 2021
Publication statusPublished - Oct 2022

Abstract

In this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of rocks and rock-like materials is usually accompanied by the propagation of mixed-mode fractures. To address this aspect, some recent studies have incorporated mixed-mode fracture propagation criteria to classical phase-field fracture models, and new energy splitting methods were proposed to split the total crack driving energy into mode-I and mode-II parts. As extension in this work, a splitting method for masonry-like materials is modified and incorporated into the mixed-mode phase-field fracture model. A robust, accurate and efficient parallel-adaptive quasi-monolithic framework serves as basis for the implementation of our new model. Three numerical tests are carried out, and the results of the new model are compared to those of existing models, demonstrating the numerical robustness and physical soundness of the new model. In total, six models are computationally analyzed and compared.

Keywords

    Finite elements, Mixed-mode fracture, Phase-field fracture, Predictor–corrector mesh refinement, Uniaxial compression test

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A quasi-monolithic phase-field description for mixed-mode fracture using predictor–corrector mesh adaptivity. / Fan, Meng; Jin, Yan; Wick, Thomas.
In: Engineering with computers, Vol. 38, 10.2022, p. 2879-2903.

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abstract = "In this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of rocks and rock-like materials is usually accompanied by the propagation of mixed-mode fractures. To address this aspect, some recent studies have incorporated mixed-mode fracture propagation criteria to classical phase-field fracture models, and new energy splitting methods were proposed to split the total crack driving energy into mode-I and mode-II parts. As extension in this work, a splitting method for masonry-like materials is modified and incorporated into the mixed-mode phase-field fracture model. A robust, accurate and efficient parallel-adaptive quasi-monolithic framework serves as basis for the implementation of our new model. Three numerical tests are carried out, and the results of the new model are compared to those of existing models, demonstrating the numerical robustness and physical soundness of the new model. In total, six models are computationally analyzed and compared.",
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note = "Funding Information: Open Access funding enabled and organized by Projekt DEAL. This work has been supported by the German Research Foundation, Priority Program 1748 (DFG SPP 1748) in the subproject Structure Preserving Adaptive Enriched Galerkin Methods for Pressure-Driven 3D Fracture Phase-Field Models with the project no. 392587580. The authors are also grateful for the financial support from the program of China Scholarships Council (no. 201806440069) and National Natural Science Foundation of China (no. 51490651). ",
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N2 - In this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of rocks and rock-like materials is usually accompanied by the propagation of mixed-mode fractures. To address this aspect, some recent studies have incorporated mixed-mode fracture propagation criteria to classical phase-field fracture models, and new energy splitting methods were proposed to split the total crack driving energy into mode-I and mode-II parts. As extension in this work, a splitting method for masonry-like materials is modified and incorporated into the mixed-mode phase-field fracture model. A robust, accurate and efficient parallel-adaptive quasi-monolithic framework serves as basis for the implementation of our new model. Three numerical tests are carried out, and the results of the new model are compared to those of existing models, demonstrating the numerical robustness and physical soundness of the new model. In total, six models are computationally analyzed and compared.

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