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A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields

Zhuang, X.; Cai, Y.; Augarde, C.E.

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Authors

X. Zhuang

Y. Cai



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.

Citation

Zhuang, X., Cai, Y., & Augarde, C. (2014). A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields. Theoretical and Applied Fracture Mechanics, 69, 118-125. https://doi.org/10.1016/j.tafmec.2013.12.003

Journal Article Type Article
Online Publication Date Dec 16, 2013
Publication Date Feb 1, 2014
Deposit Date Jan 10, 2014
Publicly Available Date Apr 20, 2015
Journal Theoretical and Applied Fracture Mechanics
Print ISSN 0167-8442
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 69
Pages 118-125
DOI https://doi.org/10.1016/j.tafmec.2013.12.003
Keywords Crack tip, Meshless, Meshfree, Mixed variational principle, RPIM.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Theoretical and Applied Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Theoretical and Applied Fracture Mechanics, 69, February 2014, 10.1016/j.tafmec.2013.12.003.






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