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

Wang, L. and Coombs, W.M. and Augarde, C.E. and Cortis, M. and Charlton, T.J. and Brown, M.J. and Knappett, J. and Brennan, A. and Davidson, C. and Richards, D. and Blake, A. (2019) 'On the use of domain-based material point methods for problems involving large distortion.', Computer methods in applied mechanics and engineering., 355 . pp. 1003-1025.


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.

Item Type:Article
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Publisher statement:© 2019 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (
Date accepted:06 July 2019
Date deposited:08 July 2019
Date of first online publication:17 July 2019
Date first made open access:No date available

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