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

Charlton, T.J. and Coombs, W.M. and Augarde, C.E. (2014) 'A review of the Material Point Method and its links to other computational methods.', in Proceedings of the 22nd UK National Conference of the Association for Computational Mechanics in Engineering, 2nd - 4th April 2014, University of Exeter, UK. Exeter: University of Exeter, pp. 17-20.

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.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://emps.exeter.ac.uk/engineering/research/acme/programmeproceedings/
Date accepted:No date available
Date deposited:08 February 2016
Date of first online publication:April 2014
Date first made open access:No date available

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