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MESHLESS NATURAL NEIGHBOUR METHOD AND ITS APPLICATION IN ELASTO-PLASTIC PROBLEMS

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Computational Methods

Abstract

The meshless natural neighbour method (MNNM) is a truly meshless method, which does not need the Delaunay tessellation of the whole domain to construct the Laplace interpolation. At the same time, some difficulties in other meshless methods, such as the imposition of essential boundary conditions, the treatment of material discontinuities and the choice of weight functions are avoided. The governing equations of elasto-plastic for MNNM are obtained to apply the MNNM to the analysis of two-dimensional elasto-plastic problems. The numerical results indicate that the theory and programmes are accurate and effective.

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Authors and Affiliations

  1. Department of Geotechnical Engineering, School of Civil Engineering, Tongji University, 200092, P. R. China

    H.H. Zhu, Y.B. Miao & Y.C. Cai

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  1. H.H. Zhu
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  2. Y.B. Miao
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  3. Y.C. Cai
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Editor information

Editors and Affiliations

  1. National University of Singapore, Singapore

    G.R. LIU

  2. National University of Singapore, Singapore

    V.B.C. TAN

  3. Hunan University, P.R. China

    X. HAN

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© 2006 Springer

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Zhu, H., Miao, Y., Cai, Y. (2006). MESHLESS NATURAL NEIGHBOUR METHOD AND ITS APPLICATION IN ELASTO-PLASTIC PROBLEMS. In: LIU, G., TAN, V., HAN, X. (eds) Computational Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3953-9_71

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  • DOI: https://doi.org/10.1007/978-1-4020-3953-9_71

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3952-2

  • Online ISBN: 978-1-4020-3953-9

  • eBook Packages: EngineeringEngineering (R0)

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