Finite deformation elasto-plastic modelling using an adaptive meshless method

Zahur Ullah, C. E Augarde

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Efficient computational modelling of problems including both material and geometric nonlinearities remains challenging. Often these problems are modelled with adaptive finite element method (FEM). Meshless methods offer the attractive possibility of simpler adaptive procedures involving no remeshing, simply insertion or deletion of nodes. In this study an adaptive meshless approach for nonlinear solid mechanics is developed based on the element free Galerkin method. An existing error estimation procedure for linear elasto-static problems, is extended here for nonlinear problems including finite deformation and elasto-plasticity, and a new adaptive procedure is described and demonstrated.
LanguageEnglish
Pages39-52
JournalComputers and Structures
Volume118
DOIs
Publication statusAccepted/In press - 1 Apr 2013

Fingerprint

Finite Deformation
Meshless Method
Adaptive Method
Elasto-plastic
Adaptive Procedure
Modeling
Element-free Galerkin Method
Adaptive Finite Element Method
Geometric Nonlinearity
Elastoplasticity
Solid Mechanics
Remeshing
Elastostatics
Meshless
Computational Modeling
Error Estimation
Deletion
Insertion
Nonlinear Problem
Vertex of a graph

Keywords

  • Meshless
  • Meshfree
  • EFG
  • Adaptive analysis
  • Error estimation

Cite this

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Finite deformation elasto-plastic modelling using an adaptive meshless method. / Ullah, Zahur; Augarde, C. E.

In: Computers and Structures, Vol. 118, 01.04.2013, p. 39-52.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Finite deformation elasto-plastic modelling using an adaptive meshless method

AU - Ullah, Zahur

AU - Augarde, C. E

PY - 2013/4/1

Y1 - 2013/4/1

N2 - Efficient computational modelling of problems including both material and geometric nonlinearities remains challenging. Often these problems are modelled with adaptive finite element method (FEM). Meshless methods offer the attractive possibility of simpler adaptive procedures involving no remeshing, simply insertion or deletion of nodes. In this study an adaptive meshless approach for nonlinear solid mechanics is developed based on the element free Galerkin method. An existing error estimation procedure for linear elasto-static problems, is extended here for nonlinear problems including finite deformation and elasto-plasticity, and a new adaptive procedure is described and demonstrated.

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KW - Meshless

KW - Meshfree

KW - EFG

KW - Adaptive analysis

KW - Error estimation

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DO - 10.1016/j.compstruc.2012.04.001

M3 - Article

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JO - Computers and Structures

T2 - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

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