A cell-less BEM formulation for axisymmetric elastoplasticity via particular integrals

Adisorn Owatsiriwong, Bupavech Phansri, Jun g Sik Kong, Kyung Ho Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This study deals with the particular integral formulation for purely axisymmetric elastoplastic analysis. The axisymmetric elastostatic equation is used for the complementary solution. The axisymmetric particular integrals for displacement and strain rates are derived by integrating three-dimensional formulation along the circumferential direction leading to elliptic integrals. The particular integrals for stress and traction rates are obtained by using the stress-strain and traction-stress relations. The Newton-Raphson algorithm for the plastic multiplier is used to solve the system equation. The numerical results for four example problems are given and compared with their analytical solutions or those by other BEM and FEM programs to demonstrate the accuracy of the present formulation. Generally, agreement among all of those results is satisfactory.

Original languageEnglish
Pages (from-to)161-172
Number of pages12
JournalComputational Mechanics
Volume44
Issue number2
DOIs
Publication statusPublished - 2009 Jul 1

Fingerprint

Elastoplasticity
Traction (friction)
Formulation
Cell
Newton-Raphson Algorithm
Elasto-plastic Analysis
Elliptic integral
Elastostatics
Strain Rate
Multiplier
Strain rate
Plastics
Elasticity
Analytical Solution
Finite element method
Numerical Results
Three-dimensional
Demonstrate

Keywords

  • Axisymmetry
  • BEM
  • Elastoplasticity
  • Newton-Raphson algorithm
  • Particular integrals

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Computational Mathematics

Cite this

A cell-less BEM formulation for axisymmetric elastoplasticity via particular integrals. / Owatsiriwong, Adisorn; Phansri, Bupavech; Kong, Jun g Sik; Park, Kyung Ho.

In: Computational Mechanics, Vol. 44, No. 2, 01.07.2009, p. 161-172.

Research output: Contribution to journalArticle

Owatsiriwong, Adisorn ; Phansri, Bupavech ; Kong, Jun g Sik ; Park, Kyung Ho. / A cell-less BEM formulation for axisymmetric elastoplasticity via particular integrals. In: Computational Mechanics. 2009 ; Vol. 44, No. 2. pp. 161-172.
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