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A review of the Material Point Method and its links to other computational methods

Charlton, T.J.; Coombs, W.M.; Augarde, C.E.

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Authors

T.J. Charlton



Contributors

A. Javadi
Editor

M. S. Hussain
Editor

Abstract

There is considerable interest in development of solid mechanics modelling which can cope with both material and geometric nonlinearity, particularly in areas such as computational geotechnics, for applications such as slope failure and foundation installation. One such technique is the Material Point Method (MPM), which appears to provide an efficient way to model these problems. The MPM models a problem domain using particles at which state variables are kept and tracked. The particles have no restriction on movement, unlike in the Finite Element Method (FEM) where element distortion limits the level of mesh deformation. In the MPM, calculations are carried out on a regular background grid to which state variables are mapped from the particles. It is clear, however, that the MPM is actually closely related to existing techniques, such as ALE and in this paper we review the MPM for solid mechanics and demonstrate these links.

Presentation Conference Type Conference Paper (Published)
Conference Name 22nd UK National Conference of the Association of Computational Mechanics in Engineering (ACME).
Start Date Apr 2, 2014
End Date Apr 4, 2014
Publication Date Apr 1, 2014
Deposit Date Apr 15, 2014
Publicly Available Date Feb 8, 2016
Pages 17-20
Book Title Proceedings of the 22nd UK National Conference of the Association for Computational Mechanics in Engineering, 2nd - 4th April 2014, University of Exeter, UK.
Public URL https://durham-repository.worktribe.com/output/1155110
Publisher URL http://emps.exeter.ac.uk/engineering/research/acme/programmeproceedings/
Additional Information Conference dates: 2-4 April 2014

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