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On the use of domain-based material point methods for problems involving large distortion [dataset] Open Access

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.

Descriptions

Resource type
Dataset
Contributors
Creator: Wang, Lei 1
Creator: Coombs, William 1
Creator: Augarde, Charles 1
1 Durham University, UK
Funder
Engineering and Physical Sciences Research Council
Research methods
Material point method
Other description
Keyword
Material Point Method
Convected Particle Domain Interpolation
large deformation mechanics
elasto-plasticity
distortion
Subject
Location
Language
Cited in
Identifier
ark:/32150/r2qb98mf49x
doi:10.15128/r2qb98mf49x
Rights
Creative Commons Attribution 4.0 International (CC BY)

Publisher
Durham University
Date Created

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L. Wang
Date Uploaded
Date Modified
15 July 2019, 10:07:29
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File format: zip (ZIP Format)
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File size: 12581
Last modified: 2019:07:09 16:30:39+01:00
Filename: figure_data.zip
Original checksum: 13c2428cb3b387c13e327a638e75fc88
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