A Conforming A-FEM for Modeling Arbitrary Crack Propagation and Branching in Solids

Zhaoyang Ma, Yunwei Xu, Shu Li, Qingda Yang, Xingming Guo, Xianyue Su

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, an improved conforming AFEM (C-AFEM) for efficient modeling of arbitrary crack propagation and branching is proposed and validated. An explicit formulation for branching cracks has been derived within the C-AFEM framework. The conjugate gradient method is integrated into the C-AFEM formulation to solve the local problem that consists of all elements traversed by single or multiple cracks. Multiple numerical evidences show that this new approach can substantially improve the modeling efficiency. The solution accuracy and numerical robustness are also significantly improved.

Original languageEnglish (US)
Article number2150010
JournalInternational Journal of Applied Mechanics
Volume13
Issue number1
DOIs
StatePublished - Jan 2021

Keywords

  • Conforming augmented finite element method
  • crack branching
  • damage
  • fracture

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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