A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems

Xu, X., Gu, Y.T., & Yang, X. (2011) A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems. International Journal of Computational Methods, 8(4), pp. 801-812.

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This paper formulates a node-based smoothed conforming point interpolation method (NS-CPIM) for solid mechanics. In the proposed NS-CPIM, the higher order conforming PIM shape functions (CPIM) have been constructed to produce a continuous and piecewise quadratic displacement field over the whole problem domain, whereby the smoothed strain field was obtained through smoothing operation over each smoothing domain associated with domain nodes. The smoothed Galerkin weak form was then developed to create the discretized system equations. Numerical studies have demonstrated the following good properties: NS-CPIM (1) can pass both standard and quadratic patch test; (2) provides an upper bound of strain energy; (3) avoid the volumetric locking; (4) provides the higher accuracy than those in the node-based smoothed schemes of the original PIMs.

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2 citations in Scopus
2 citations in Web of Science®
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ID Code: 46865
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Meshfree Methods, Bound Solutions, Volumetric Locking Free, Patch Test, Numerical Simulation
DOI: 10.1142/S0219876211002836
ISSN: 0219-8762
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2011 World Scientific Publishing.
Deposited On: 06 Nov 2011 21:51
Last Modified: 31 Jan 2012 14:05

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