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

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

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.

Citation

Charlton, T., Coombs, W., & Augarde, C. (2014, April). A review of the Material Point Method and its links to other computational methods. Presented at 22nd UK National Conference of the Association of Computational Mechanics in Engineering (ACME)., Exeter, Uk

• 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