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

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

doi:10.1016/j.tafmec.2013.12.003

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

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

Authors

X. Zhuang

Y. Cai

Professor Charles Augarde charles.augarde@durham.ac.uk
Head Of Department

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.