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Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences

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Patchwise reprouducing polynomial partlce method for thick plates: Bending, free vibration, and buckling

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Title
Patchwise reprouducing polynomial partlce method for thick plates: Bending, free vibration, and buckling
Author
Jang, BongsooKim, Hyunju
Keywords
Meshfree methods; partition of unity function with flat-top; reproducing polynomial particle shape functions; Reissner-Mindlin plate theory
Issue Date
2013
Publisher
한국산업응용수학회
Citation
THE JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, v.17, no.2, pp.67 - 85
Abstract
Reproducing Polynomial Particle Method (RPPM) is one of meshless methods that use meshes minimally or do not use meshes at all. In this paper, the RPPM is employed for free vibration analysis of shear-deformable plates of the first order shear deformation model (FSDT), called Reissner-Mindlin plate. For numerical implementation, we use flat-top partition of unity functions, introduced by Oh et al, and patchwise RPPM in which approximation functions have high order polynomial reproducing property and the Kronecker delta property. Also, we demonstrate that our method is highly effective than other existing results for various aspect ratios and boundary conditions.
URI
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DOI
http://dx.doi.org/10.12941/jksiam.2013.17.067
ISSN
1229-0645
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