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A meshfree method and its applications to elasto-plastic problems

  • Civil Engineering
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Abstract

Standard finite element approaches are still ineffective in handling extreme material deformation, such as cases of large deformations and moving discontinuities due to severe mesh distortion. Among meshfree methods developed to overcome the ineffectiveness, Reproducing Kernel Particle Method (RKPM) has demonstrated its great suitability for structural analysis. This paper presents applications of RKPM in elasto-plastic problems after a review of meshfree methods and an introduction to RKPM. A slope stability problem in geotechnical engineering is analyzed as an illustrative case. The corresponding numerical simulations are carried out on an SG1 Onyx3900 supercomputer. Comparison of the RKPM and the FEM under identical conditions showed that the RKPM is more suitable for problems where there exists extremely large strain such as in the case of slope sliding.

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Authors and Affiliations

  1. Center for Engineering and Scientific Computation, Zhejiang University, 310027, Hangzhou, China

    Zhang Ji-fa, Zhang Wen-pu & Zheng Yao

  2. School of Computer Science, Zhejiang University, 310027, Hangzhou, China

    Zhang Ji-fa & Zheng Yao

  3. Department of Mechanics, Zhejiang University, 310027, Hangzhou, China

    Zhang Wen-pu

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  1. Zhang Ji-fa
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  2. Zhang Wen-pu
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  3. Zheng Yao
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Ji-fa, Z., Wen-pu, Z. & Yao, Z. A meshfree method and its applications to elasto-plastic problems. J. Zheijang Univ.-Sci. A 6, 148–154 (2005). https://doi.org/10.1631/BF02847979

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  • DOI: https://doi.org/10.1631/BF02847979

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