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On the use of domain-based material point methods for problems involving large distortion

Wang, L.; Coombs, W.M.; Augarde, C.E.; Cortis, M.; Charlton, T.J.; Brown, M.J.; Knappett, J.; Brennan, A.; Davidson, C.; Richards, D.; Blake, A.

On the use of domain-based material point methods for problems involving large distortion Thumbnail


Authors

L. Wang

M. Cortis

T.J. Charlton

M.J. Brown

J. Knappett

A. Brennan

C. Davidson

D. Richards

A. Blake



Abstract

Challenging solid mechanics problems exist in areas such as geotechnical and biomedical engineering which require numerical methods that can cope with very large deformations, both stretches and torsion. One candidate for these problems is the Material Point Method (MPM), and to deal with stability issues the standard form of the MPM has been developed into new "domain-based" techniques which change how information is mapped between the computational mesh and the material points. The latest of these developments are the Convected Particle Domain Interpolation (CPDI) approaches. When these are demonstrated, they are typically tested on problems involving large stretch but little torsion and if these MPMs are to be useful for the challenging problems mentioned above, it is important that their capabilities and shortcomings are clear. Here we present a study of the behaviour of some of these MPMs for modelling problems involving large elasto-plastic deformation including distortion. This is carried out in a unified implicit quasi-static computational framework and finds that domain distortion with the CPDI2 approaches affects some solutions and there is a particular issue with one approach. The older CPDI1 approach and the standard MPM however produce physically realistic results. The primary aim of this paper is to raise awareness of the capabilities or otherwise of these domain-based MPMs.

Journal Article Type Article
Acceptance Date Jul 6, 2019
Online Publication Date Jul 17, 2019
Publication Date Oct 31, 2019
Deposit Date Jul 8, 2019
Publicly Available Date Jul 19, 2019
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 355
Pages 1003-1025
DOI https://doi.org/10.1016/j.cma.2019.07.011
Public URL https://durham-repository.worktribe.com/output/1327418

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