Numerical simulation of large deformation problems by element free Galerkin method

Rajesh Kumar, I. V. Singh, B. K. Mishra, Akhilendra Singh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

In large deformation problems, the contribution of nonlinear terms is quite significant. Hence, components/structures involving large deformation must be analysed using non-linear theories. In this paper, element free Galerkin method (EFGM) has been applied to solve large deformation problems using updated Lagrangian approach. Geometrically nonlinear problems have been simulated assuming linear elastic material behaviour. The results obtained by EFGM have been compared with those obtained by FEM and analytical solutions. An elasto-plastic edge crack problem has been solved using nonlinear material behaviour and large deformation kinematics.

Original languageEnglish
Title of host publicationAdvances in Engineering Plasticity XI
PublisherTrans Tech Publications Ltd
Pages85-88
Number of pages4
ISBN (Print)9783037855485
DOIs
StatePublished - 2013
Externally publishedYes
Event11th Asia-Pacific Conference on Engineering Plasticity and Its Applications, AEPA 2012 - Singapore, Singapore
Duration: 5 Dec 20127 Dec 2012

Publication series

NameKey Engineering Materials
Volume535-536
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795

Conference

Conference11th Asia-Pacific Conference on Engineering Plasticity and Its Applications, AEPA 2012
Country/TerritorySingapore
CitySingapore
Period5/12/127/12/12

Keywords

  • Elasto-plastic analysis
  • Element free Galerkin method (EFGM)
  • Large deformation
  • Updated Lagrangian

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