Virtual element method for phase field modeling of dynamic fracture

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Tong Rui Liu
  • Fadi Aldakheel
  • M. H. Aliabadi

External Research Organisations

  • Imperial College London
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Details

Original languageEnglish
Article number116050
JournalComputer Methods in Applied Mechanics and Engineering
Volume411
Early online date21 Apr 2023
Publication statusPublished - 1 Jun 2023

Abstract

In this paper, we propose a new and efficient virtual element scheme for phase field modeling of the dynamic fracture using an explicit time integration scheme. The explicit time integrator divided the whole problem into two parts, namely, mechanical and damage sub-problems. The former is treated as an elastodynamic equation while the latter is treated as a Poisson equation with reaction terms subjected to irreversibility and bounded constraints. To test the performance of the proposed numerical framework, several benchmark problems are validated and the results are in good agreement with the corresponding numerical and experimental study. Moreover, VEM outperforms FEM in view of memory efficiency and choice of element type.

Keywords

    Brittle fracture, Dynamic fracture, Phase-field method, Virtual element method

ASJC Scopus subject areas

Cite this

Virtual element method for phase field modeling of dynamic fracture. / Liu, Tong Rui; Aldakheel, Fadi; Aliabadi, M. H.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 411, 116050, 01.06.2023.

Research output: Contribution to journalArticleResearchpeer review

Liu TR, Aldakheel F, Aliabadi MH. Virtual element method for phase field modeling of dynamic fracture. Computer Methods in Applied Mechanics and Engineering. 2023 Jun 1;411:116050. Epub 2023 Apr 21. doi: 10.1016/j.cma.2023.116050
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N1 - Funding Information: This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. Meanwhile, Tong-Rui Liu warmly thanks Dr. Tushar Kanti Mandal (Imperial College London, UK) for sharing the dataset and Dr. Tianchen Hu (Argonne National Laboratory, USA) for the fruitful discussion on a bounded constraint solver for the phase field problem. The helpful discussion with prof. Alejandro Ortiz-Bernardin (University of Chile, Chile) about the usage of open source library “VEMLAB” is fully acknowledged.

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