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The Radial Natural Neighbours Interpolators Extended to ElastoplastiCity

  • LÙcia Maria Jesus Simas de Dinis
  • Renato Manuel Natal Jorge
  • Jorge Belinha
Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 11)

Considering a small strain formulation a Radial Natural Neighbour Interpolator method is extended to the elastoplastic analysis. Resorting to the Voronoï tessellation the nodal connectivity is obtained. The Delaunay triangulation supplies the integration background mesh. The improved interpolation functions based on the Radial Point Interpolators are provided with the delta Kronecker property, easing the imposition of the essential and natural boundary conditions. The Newton-Raphson method is used for the solution of the nonlinear system of equations and an Hill yield surface is considered. Benchmark examples prove the high accuracy and convergence rate of the proposed method.

Keywords

Radial point interpolation method Radial basis function Natural neighbours Meshfree method PlastiCity 

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Copyright information

© Springer Science + Business Media B.V 2009

Authors and Affiliations

  • LÙcia Maria Jesus Simas de Dinis
    • 1
  • Renato Manuel Natal Jorge
    • 2
  • Jorge Belinha
    • 3
  1. 1.Associate ProfessorFaculty of Engineering of the University of Porto — FEUP Rua Dr. Roberto FriasPortoPortugal
  2. 2.Departamento de Engenharia Mecânica e Gestão IndustrialFaculdade de Engenharia da Univer-sidade do Porto, Rua Dr. Roberto FriasPortoPortugal
  3. 3.Researcher, Institute of Mechanical Engineering — IDMEC Rua Dr. Roberto FriasPortoPortugal

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