Virtual element method for mixed-mode cohesive fracture simulation with element split and domain integral

Habeun Choi, Heng Chi, Kyoungsoo Park

Research output: Contribution to journalArticlepeer-review


We present a computational framework for mixed-mode cohesive fracture simulation based on the virtual element method (VEM). To represent an arbitrary crack path, the element splitting scheme is developed on a polygonal mesh to capitalize its flexibility in element shape. For the accurate evaluation of a crack-tip stress field and crack propagation direction, the virtual grid-based stress recovery scheme is tailored for VEM in conjunction with the maximum strain energy release rate criterion. The mixed-mode fracture examples are illustrated to validate the accuracy and robustness of the proposed computational scheme. Numerical results demonstrate that the domain integral method with the stress recovery scheme captures an accurate crack path without oscillation under the biaxial tensile stress state. Furthermore, the computed cracks using the element splitting scheme show that smooth and curved patterns on polygonal elements are in good agreement with the experimental results.

Original languageEnglish
Pages (from-to)51-70
Number of pages20
JournalInternational Journal of Fracture
Issue number1
Publication statusPublished - 2023 Mar

Bibliographical note

Funding Information:
This work was supported by National Research Foundation of Korea funded by the Ministry of Science and ICT (Grant Number 2022R1A2C2010081; RS-2022-00144250), and from Korea Hydro and Nuclear Power Co., Ltd. (Grant Number 2022-TECH-14). Dr. Choi acknowledges the support (in part) by the Yonsei University Research Fund (Post Doc. Researcher Supporting Program) of 2020 (Project Number: 2020-12-0031), and by the Technology Innovation Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No. 20217910100150).

Publisher Copyright:
© 2023, The Author(s).

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Modelling and Simulation
  • Mechanics of Materials


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