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Finite deformation elasto-plastic modelling using an adaptive meshless method

Ullah, Z.; Augarde, C.E.

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


Z. Ullah


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.


Ullah, Z., & Augarde, C. (2012). Finite deformation elasto-plastic modelling using an adaptive meshless method. Computers and Structures, 118, 39-52.

Journal Article Type Article
Publication Date Mar 1, 2012
Deposit Date Jun 12, 2012
Publicly Available Date Jun 19, 2012
Journal Computers and Structures
Print ISSN 0045-7949
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 118
Pages 39-52
Keywords Meshless, Meshfree, EFG, Adaptive analysis, Error estimation.


Accepted Journal Article (2.2 Mb)

Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Computers and structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version will be subsequently published in Computers and structures, 2012, 10.1016/j.compstruc.2012.04.001

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