An element-free Galerkin method for 3D crack propagation simulation

YJ Hu, James Yang

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This study develops an element‐free Galerkin method based on the moving least‐squares approximation to trace three‐dimensional crack propagation under complicated stress conditions. The crack surfaces are modelled by a collection of planar triangles that are added when cracks propagate. The visibility criterion is adopted to treat the screening effect of the cracks on the influenced domain of a Gaussian point. Cracks are assumed to propagate in the perpendicular planes at crack front points when the strain energy release rates reach the material fracture toughness. This method is unique in that it uses a nonlinear contact iterative algorithm to consider contributions of crack surface interaction to the global equilibrium equations, so that crack opening, sliding and closing under complicated stress states can be efficiently modelled. Two numerical examples of three‐dimensional quasi‐static crack propagation were modelled with satisfactory results.
Original languageEnglish
Pages (from-to)1251-1263
Number of pages13
JournalInternational Journal for Numerical Methods in Engineering
Volume91
Issue number12
Early online date5 Jun 2012
DOIs
Publication statusPublished - 21 Sep 2012
Externally publishedYes

Fingerprint

Element-free Galerkin Method
Crack Propagation
Galerkin methods
Crack propagation
Crack
Cracks
Surface Crack
Simulation
Moving Least Squares
Three-dimensional
Energy Release Rate
Fracture Toughness
Strain Energy
Visibility
Galerkin Method
Perpendicular
Iterative Algorithm
Screening
Triangle
Energy release rate

Cite this

An element-free Galerkin method for 3D crack propagation simulation. / Hu, YJ; Yang, James.

In: International Journal for Numerical Methods in Engineering, Vol. 91, No. 12, 21.09.2012, p. 1251-1263.

Research output: Contribution to journalArticle

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