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

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Autoren

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

Externe Organisationen

  • Imperial College London
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)740-751
Seitenumfang12
FachzeitschriftProcedia Structural Integrity
Jahrgang52
Frühes Online-Datum1 Feb. 2024
PublikationsstatusVeröffentlicht - 2024
Veranstaltung21st International Conference on Fracture, Damage and Structural Health Monitoring, FDM 2023 - London, Großbritannien / Vereinigtes Königreich
Dauer: 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.

ASJC Scopus Sachgebiete

Zitieren

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, Jahrgang 52, 2024, S. 740-751.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Liu, TR, Aldakheel, F & Aliabadi, MH 2024, 'Numerical recipes of virtual element method for phase field modeling of brittle fracture', Procedia Structural Integrity, Jg. 52, S. 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 ; Jahrgang 52. S. 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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TY - JOUR

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.

AB - 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.

KW - Brittle fracture

KW - Damage mechanics

KW - Phase field method

KW - Virtual element method

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U2 - 10.1016/j.prostr.2023.12.074

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M3 - Conference article

AN - SCOPUS:85186667235

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SP - 740

EP - 751

JO - Procedia Structural Integrity

JF - Procedia Structural Integrity

SN - 2452-3216

T2 - 21st International Conference on Fracture, Damage and Structural Health Monitoring, FDM 2023

Y2 - 12 September 2023 through 14 September 2023

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