Open Access

ARTICLE

Modelling Elasto-Plasticity Using the Hybrid MLPG Method

Claire Heaney^1,2, Charles Augarde², Andrew Deeks²

1 Corresponding author. Tel: +44 191 334 2487; Fax: +44 191 334 2407; Email: claire.heaney@dur.ac.uk
2 School of Engineering and Computing Sciences, Durham University, Durham DH1 3LE, UK

Computer Modeling in Engineering & Sciences 2010, 56(2), 153-178. https://doi.org/10.3970/cmes.2010.056.153

Abstract

Meshless methods continue to generate strong interest as alternatives to conventional finite element methods. One major area of application as yet relatively unexplored with meshless methods is elasto-plasticity. In this paper we extend a novel numerical method, based on the Meshless Local Petrov-Galerkin (MLPG) method, to the modelling of elasto-plastic materials. The extended method is particularly suitable for problems in geomechanics, as it permits inclusion of infinite boundaries, and is demonstrated here on footing problems. The current usage of meshless methods for problems involving plasticity is reviewed and guidance is provided in the choice of various modelling parameters.

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Keywords

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