Loaded crack surfaces in two and three dimensions with XFEM

Markus Schätzer, Thomas Peter Fries

Research output: Contribution to journalArticleResearchpeer-review

Abstract

A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

Original languageEnglish
Pages (from-to)863-885
Number of pages23
JournalApplied Mathematical Modelling
Volume78
DOIs
Publication statusPublished - 1 Feb 2020

Fingerprint

Surface Crack
Crack Propagation
Three-dimension
Two Dimensions
Zero set
Cracks
Level Set
Crack
Crack propagation
Stress Intensity Factor
Mesh
Numerical Results
Stress intensity factors
Model

Keywords

  • Crack propagation
  • Critical pressure
  • Data transfer
  • Superposition

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Fields of Expertise

  • Information, Communication & Computing

Cite this

Loaded crack surfaces in two and three dimensions with XFEM. / Schätzer, Markus; Fries, Thomas Peter.

In: Applied Mathematical Modelling, Vol. 78, 01.02.2020, p. 863-885.

Research output: Contribution to journalArticleResearchpeer-review

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