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GEOMETRICALLY NONLINEAR ANALYSIS USING MESHFREE RPIM

  • K.Y. Dai
  • G.R. Liu
  • X. Han
Conference paper

Abstract

Geometrically nonlinear analysis for structures with finite deformation is presented based on a meshfree radial point interpolation method (RPIM). The method uses a set of distributed nodes to discretize problem domain that may reduce the possibility of mesh distortion or tangling. The formulations are given in material description. The method is implemented using a full Newton–Raphson iteration procedure. Numerical problem is investigated for a cantilever beam made of compressible hyperelstic neo-Hookean materials to demonstrate the effectiveness of this method.

Keywords

Cantilever Beam Material Description Store Energy Function Radial Point Interpolation Method Radial Basis Function Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • K.Y. Dai
    • 1
  • G.R. Liu
    • 1
  • X. Han
    • 2
  1. 1.Department of Mechanical EngineeringNational University of SingaporeSingapore
  2. 2.The Key Laboratory of Advanced Technology for Vehicle Body Design & Manufacture of Ministry of Education, College of Mechanical and Automotive EngineeringHunan UniversityChangshaP. R. China

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