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  1. Myanmar Maritime University
  2. Department of River and Coastal Engineering

Material Point Method with RBF Interpolation

http://hdl.handle.net/20.500.12678/0000007215
http://hdl.handle.net/20.500.12678/0000007215
9d497bc9-394b-4d2f-b378-8d182c108f13
7285a641-25a3-49bd-8063-34cb34e36183
None
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Name / File License Actions
Material Material Point Method with RBF Interpolation, Htike Htike.pdf (1.5 MB)
Copyright © 2011 Tech Science Press
Publication type
Journal article
Upload type
Publication
Title
Title Material Point Method with RBF Interpolation
Language en
Authors
Htike Htike
Wen Chen
Yan Gu
Junjie Yang
Description
This paper makes the first attempt to employ the Radial Basis Function (RBF) interpolation in the material point method (MPM), in which the shape function is based on RBF and polynomial function and satisfies the partition of unity and possesses Delta-function property. It is worthy of stressing that the RBF interpolation has the merit of high smoothness and is very accurate and can easily be applied to the MPM framework for mapping information between moving particles, known as material point in the MPM, and background grids. The RBF-based MPM is designed to overcome the unphysical results, such as shear stress distribution of the cantilever beam, in the traditional MPM with linear shape function. This study chooses the Mutiquadric (MQ) function as the RBF. The present strategy is tested to the benchmark cantilever beam and the circular disk impact problems. Numerical results are observed in good agreement with the analytical solutions and satisfy the conservation of energy.
Keywords
Material point method, radial basis function, multiquadric, interpolation, meshless, stress analysis.
Journal articles
4
CMES: Computer Modeling in Engineering & Sciences
247-272
72, 2011
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