On the utilization of the reproducing kernel particle method for the numerical simulation of plane strain rolling

X. Shangwu*, W. K. Liu, J. Cao, J. M.C. Rodrigues, P. A.F. Martins

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

This paper draws from fundamental research on the reproducing kernel particle method (RKPM) to the development of an innovative numerical approach for analyzing rolling under plane strain conditions. The approach is based on the flow formulation for slightly compressible rigid-plastic materials and a detailed description of the method and its numerical implementation is presented with the objective of making clear the fundamental differences to the well-established finite element method for slightly compressible rigid-plastic materials. Special emphasis is placed on the construction of shape functions and their derivatives, enforcement of the essential boundary conditions and treatment of frictional effects, along the contact interface between the workpiece and the roll. The effectiveness of the proposed approach is discussed by comparing theoretical predictions with experimental data found in the literature.

Original languageEnglish (US)
Pages (from-to)89-102
Number of pages14
JournalInternational Journal of Machine Tools and Manufacture
Volume43
Issue number1
DOIs
StatePublished - Jan 2003

Keywords

  • Plane strain rolling
  • Reproducing kernel particle method
  • Slightly compressible rigid-plastic materials

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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