A meshfree method and its applications to elasto-plastic problems

• Published in: Journal of Zhejiang University. A. Science Vol. 6; no. 2; pp. 148 - 154
• Main Author: 张继发 张文普 郑耀
• Format: Journal Article
• Language: English
• Published: School of Computer Science%Center for Engineering and Scientific Computation 01.02.2005; Department of Mechanics,Zhejiang University, Hangzhou 310027, China; Center for Engineering and Scientific Computation
• Subjects: 应用软件; 建筑材料; 建筑结构; 数值分析; 材料变形; RKPM; Elasto-plasticity; Geotechnical engineering; Meshfree methods
• ISSN: 1673-565X; 1862-1775
• DOI: 10.1631/BF02847979

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 SGI 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.