Enriched meshfree collocation method with diffuse derivatives for elastic fracture

Young Cheol Yoon, Sang-Ho Lee, T. Belytschko

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

A meshfree collocation method with intrinsic enrichment for solving elastic crack problems is presented. A diffuse derivative approximation is applied in conjunction with an intrinsic enrichment of the near-tip asymptotic fields and a polynomial basis. These consistent diffuse derivatives of the approximation do not require computing the derivative of the weight function or that of the moment matrix. The local behavior of the near-tip stresses is successfully captured so that the stress intensity factors can be accurately computed. Numerical experiments demonstrate the accuracy and robustness of the method for solving elastic fracture problems.

Original languageEnglish
Pages (from-to)1349-1366
Number of pages18
JournalComputers and Mathematics with Applications
Volume51
Issue number8 SPEC. ISS.
DOIs
Publication statusPublished - 2006 Jan 1

Fingerprint

Meshfree Method
Collocation Method
Derivatives
Derivative
Moment Matrix
Polynomial Basis
Stress Intensity Factor
Approximation
Stress intensity factors
Weight Function
Crack
Numerical Experiment
Polynomials
Robustness
Cracks
Computing
Demonstrate
Experiments

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this

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Enriched meshfree collocation method with diffuse derivatives for elastic fracture. / Yoon, Young Cheol; Lee, Sang-Ho; Belytschko, T.

In: Computers and Mathematics with Applications, Vol. 51, No. 8 SPEC. ISS., 01.01.2006, p. 1349-1366.

Research output: Contribution to journalArticle

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