Modelling elasto-plasticity using the hybrid MLPG method

Heaney, C.E.; Augarde, C.E.; Deeks, A.J.

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.

Citation

Heaney, C., Augarde, C., & Deeks, A. (2010). Modelling elasto-plasticity using the hybrid MLPG method. Computer Modeling in Engineering & Sciences, 56(2), 153-178

• Journal Article Type: Article
• Publication Date: Jan 1, 2010
• Deposit Date: May 4, 2010
• Publicly Available Date: May 11, 2010
• Journal: Computer modeling in engineering & sciences : CMES.
• Print ISSN: 1526-1492
• Electronic ISSN: 1526-1506
• Publisher: Tech Science Press
• Peer Reviewed: Peer Reviewed
• Volume: 56
• Issue: 2
• Pages: 153-178
• Keywords: Meshless, Meshfree, Elasto-plasticity, Meshless local Petrov-Galerkin.
• Public URL: https://durham-repository.worktribe.com/output/1520875
• Publisher URL: http://www.techscience.com/paper.asp?jnl=cmes&issue=v56n2&no=07