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 language | English |
|---|---|
| Pages (from-to) | 1349-1366 |
| Number of pages | 18 |
| Journal | Computers and Mathematics with Applications |
| Volume | 51 |
| Issue number | 8 SPEC. ISS. |
| DOIs | |
| Publication status | Published - 2006 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics
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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 journal › Article
TY - JOUR
T1 - Enriched meshfree collocation method with diffuse derivatives for elastic fracture
AU - Yoon, Young Cheol
AU - Lee, Sang-Ho
AU - Belytschko, T.
PY - 2006/1/1
Y1 - 2006/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33745881946&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33745881946&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2006.04.010
DO - 10.1016/j.camwa.2006.04.010
M3 - Article
AN - SCOPUS:33745881946
VL - 51
SP - 1349
EP - 1366
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
IS - 8 SPEC. ISS.
ER -