Enriched meshfree collocation method with diffuse derivatives for elastic fracture

Young Cheol Yoon, Sang Ho Lee, T. Belytschko

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


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
Issue number8 SPEC. ISS.
Publication statusPublished - 2006 Apr

Bibliographical note

Funding Information:
*Author to whom all correspondence should be addressed. The support of the Office of Naval Research (N00014-03-1-0097) and the Korean Research Foundation Grant (KRF-2004-042-D00189) are gratefully acknowledged.

All Science Journal Classification (ASJC) codes

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


Dive into the research topics of 'Enriched meshfree collocation method with diffuse derivatives for elastic fracture'. Together they form a unique fingerprint.

Cite this