Details
| Original language | English |
|---|---|
| Pages (from-to) | 118-125 |
| Number of pages | 8 |
| Journal | Theoretical and Applied Fracture Mechanics |
| Volume | 69 |
| Publication status | Published - 16 Dec 2013 |
| Externally published | Yes |
Abstract
A new meshless sub-region radial point interpolation method (MS-RPIM) is proposed for linear elastic fracture mechanics. The Williams expansions of stress field for mode I/II crack is used as the trial functions in crack tip region, the meshless radial point interpolation is used for the rest of domain, and a mixed variational principle is used for discretisation. In contrast to existing meshless formulations, the present MS-RPIM requires only very few nodes around the crack tip to obtain smooth stress and accurate results and the SIFs can be directly obtained as part of the solution and no additional effort via post-processing.
Keywords
- Crack tip, Meshfree, Meshless, Mixed variational principle, RPIM
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: Theoretical and Applied Fracture Mechanics, Vol. 69, 16.12.2013, p. 118-125.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields
AU - Zhuang, Xiaoying
AU - Cai, Yongchang
AU - Augarde, Charles
N1 - Funding information: The authors gratefully acknowledge the support of NSFC Key Programme (41130751), National Basic Research Program of China (973 Program: 2011CB013800), and Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT, IRT1029), Shanghai Pujiang Program (12PJ1409100), SRF for ROCS of State Education Ministry.
PY - 2013/12/16
Y1 - 2013/12/16
N2 - A new meshless sub-region radial point interpolation method (MS-RPIM) is proposed for linear elastic fracture mechanics. The Williams expansions of stress field for mode I/II crack is used as the trial functions in crack tip region, the meshless radial point interpolation is used for the rest of domain, and a mixed variational principle is used for discretisation. In contrast to existing meshless formulations, the present MS-RPIM requires only very few nodes around the crack tip to obtain smooth stress and accurate results and the SIFs can be directly obtained as part of the solution and no additional effort via post-processing.
AB - A new meshless sub-region radial point interpolation method (MS-RPIM) is proposed for linear elastic fracture mechanics. The Williams expansions of stress field for mode I/II crack is used as the trial functions in crack tip region, the meshless radial point interpolation is used for the rest of domain, and a mixed variational principle is used for discretisation. In contrast to existing meshless formulations, the present MS-RPIM requires only very few nodes around the crack tip to obtain smooth stress and accurate results and the SIFs can be directly obtained as part of the solution and no additional effort via post-processing.
KW - Crack tip
KW - Meshfree
KW - Meshless
KW - Mixed variational principle
KW - RPIM
UR - http://www.scopus.com/inward/record.url?scp=84896734320&partnerID=8YFLogxK
U2 - 10.1016/j.tafmec.2013.12.003
DO - 10.1016/j.tafmec.2013.12.003
M3 - Article
AN - SCOPUS:84896734320
VL - 69
SP - 118
EP - 125
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
ER -