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Numerical recipes of virtual element method for phase field modeling of brittle fracture

Research output: Contribution to journalConference articleResearchpeer review

Authors

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

External Research Organisations

  • Imperial College London

Details

Original languageEnglish
Pages (from-to)740-751
Number of pages12
JournalProcedia Structural Integrity
Volume52
Early online date1 Feb 2024
Publication statusPublished - 2024
Event21st International Conference on Fracture, Damage and Structural Health Monitoring, FDM 2023 - London, United Kingdom (UK)
Duration: 12 Sept 202314 Sept 2023

Abstract

In this work, a new and efficient virtual element formulation for non-standard phase field model of brittle fracture is presented. A multi-pass alternative minimization solution scheme based on algorithm operator splitting is utilized, which decouples the whole problem into two parts, namely, mechanical and damage sub-problems. The former is treated as elasto-static problem, while the latter one is treated as Poisson-type of reaction-diffusion equation subjected to bounded and irreversibility constraint. To demonstrate the performance of proposed formulation, several benchmark problems are studied and results are in good agreement with corresponding finite element calculations and experimental studies.

Keywords

    Brittle fracture, Damage mechanics, Phase field method, Virtual element method

ASJC Scopus subject areas

Cite this

Numerical recipes of virtual element method for phase field modeling of brittle fracture. / Liu, Tong Rui; Aldakheel, Fadi; Aliabadi, M. H.
In: Procedia Structural Integrity, Vol. 52, 2024, p. 740-751.

Research output: Contribution to journalConference articleResearchpeer review

Liu, TR, Aldakheel, F & Aliabadi, MH 2024, 'Numerical recipes of virtual element method for phase field modeling of brittle fracture', Procedia Structural Integrity, vol. 52, pp. 740-751. https://doi.org/10.1016/j.prostr.2023.12.074
Liu, T. R., Aldakheel, F., & Aliabadi, M. H. (2024). Numerical recipes of virtual element method for phase field modeling of brittle fracture. Procedia Structural Integrity, 52, 740-751. https://doi.org/10.1016/j.prostr.2023.12.074
Liu TR, Aldakheel F, Aliabadi MH. Numerical recipes of virtual element method for phase field modeling of brittle fracture. Procedia Structural Integrity. 2024;52:740-751. Epub 2024 Feb 1. doi: 10.1016/j.prostr.2023.12.074
Liu, Tong Rui ; Aldakheel, Fadi ; Aliabadi, M. H. / Numerical recipes of virtual element method for phase field modeling of brittle fracture. In: Procedia Structural Integrity. 2024 ; Vol. 52. pp. 740-751.
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abstract = "In this work, a new and efficient virtual element formulation for non-standard phase field model of brittle fracture is presented. A multi-pass alternative minimization solution scheme based on algorithm operator splitting is utilized, which decouples the whole problem into two parts, namely, mechanical and damage sub-problems. The former is treated as elasto-static problem, while the latter one is treated as Poisson-type of reaction-diffusion equation subjected to bounded and irreversibility constraint. To demonstrate the performance of proposed formulation, several benchmark problems are studied and results are in good agreement with corresponding finite element calculations and experimental studies.",
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T1 - Numerical recipes of virtual element method for phase field modeling of brittle fracture

AU - Liu, Tong Rui

AU - Aldakheel, Fadi

AU - Aliabadi, M. H.

N1 - Funding Information: This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

PY - 2024

Y1 - 2024

N2 - In this work, a new and efficient virtual element formulation for non-standard phase field model of brittle fracture is presented. A multi-pass alternative minimization solution scheme based on algorithm operator splitting is utilized, which decouples the whole problem into two parts, namely, mechanical and damage sub-problems. The former is treated as elasto-static problem, while the latter one is treated as Poisson-type of reaction-diffusion equation subjected to bounded and irreversibility constraint. To demonstrate the performance of proposed formulation, several benchmark problems are studied and results are in good agreement with corresponding finite element calculations and experimental studies.

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KW - Brittle fracture

KW - Damage mechanics

KW - Phase field method

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M3 - Conference article

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SP - 740

EP - 751

JO - Procedia Structural Integrity

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SN - 2452-3216

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