Finite deformation elasto-plastic modelling using an adaptive meshless method

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...

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Bibliographic Details
Published in:Computers & structures 2013-03, Vol.118, p.39-52
Main Authors: Ullah, Z., Augarde, C.E.
Format: Article
Language:English
Subjects:
Adaptive analysis
EFG
Elastoplasticity
Error estimation
Finite element method
Galerkin methods
Mathematical analysis
Mathematical models
Meshfree
Meshless
Meshless methods
Nonlinearity
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Summary: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.
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2012.04.001