A Virtual Element Method for 2D linear elastic fracture analysis

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Vien Minh Nguyen-Thanh
  • Xiaoying Zhuang
  • Hung Nguyen-Xuan
  • Timon Rabczuk
  • Peter Wriggers

Organisationseinheiten

Externe Organisationen

  • Vietnam National University Ho Chi Minh City
  • Sejong University
  • Bauhaus-Universität Weimar
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Details

OriginalspracheEnglisch
Seiten (von - bis)366-395
Seitenumfang30
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang340
Frühes Online-Datum15 Juni 2018
PublikationsstatusVeröffentlicht - 1 Dez. 2018

Abstract

This paper presents the Virtual Element Method (VEM) for the modeling of crack propagation in 2D within the context of linear elastic fracture mechanics (LEFM). By exploiting the advantage of mesh flexibility in the VEM, we establish an adaptive mesh refinement strategy based on the superconvergent patch recovery for triangular, quadrilateral as well as for arbitrary polygonal meshes. For the local stiffness matrix in VEM, we adopt a stabilization term which is stable for both isotropic scaling and ratio. Stress intensity factors (SIFs) of a polygonal mesh are discussed and solved by using the interaction domain integral. The present VEM formulations are finally tested and validated by studying its convergence rate for both continuous and discontinuous problems, and are compared with the optimal convergence rate in the conventional Finite Element Method (FEM). Furthermore, the adaptive mesh refinement strategies used to effectively predict the crack growth with the existence of hanging nodes in nonconforming elements are examined.

ASJC Scopus Sachgebiete

Zitieren

A Virtual Element Method for 2D linear elastic fracture analysis. / Nguyen-Thanh, Vien Minh; Zhuang, Xiaoying; Nguyen-Xuan, Hung et al.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 340, 01.12.2018, S. 366-395.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Nguyen-Thanh VM, Zhuang X, Nguyen-Xuan H, Rabczuk T, Wriggers P. A Virtual Element Method for 2D linear elastic fracture analysis. Computer Methods in Applied Mechanics and Engineering. 2018 Dez 1;340:366-395. Epub 2018 Jun 15. doi: 10.48550/arXiv.1808.00355, 10.1016/j.cma.2018.05.021
Nguyen-Thanh, Vien Minh ; Zhuang, Xiaoying ; Nguyen-Xuan, Hung et al. / A Virtual Element Method for 2D linear elastic fracture analysis. in: Computer Methods in Applied Mechanics and Engineering. 2018 ; Jahrgang 340. S. 366-395.
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AU - Nguyen-Thanh, Vien Minh

AU - Zhuang, Xiaoying

AU - Nguyen-Xuan, Hung

AU - Rabczuk, Timon

AU - Wriggers, Peter

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