A conforming augmented finite element method for modeling arbitrary cracking in solids

Zhaoyang Ma, Qingda Yang, Xianyue Su

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper presents a conforming augmented finite element method (C-AFEM) that can account for arbitrary cracking in solids with similar accuracy of other conforming methods, but with a significantly improved numerical efficiency of about ten times. We show that the numerical gains are mainly due to our proposed new solving procedure, which involves solving a local problem for crack propagation and a global problem for structural equilibrium, through a tightly coupled two-step process. Through several numerical benchmarking examples, we further demonstrate that the C-AFEM is more accurate and mesh insensitive when compared with the original A-FEM, and both C-AFEM and A-FEM are much more robust and efficient than other parallel methods including the extended finite element method (XFEM)/generalized finite element (GFEM) and the conforming embedded discontinuity method.

Original languageEnglish (US)
Article number071002
JournalJournal of Applied Mechanics, Transactions ASME
Volume86
Issue number7
DOIs
StatePublished - Jul 1 2019

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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