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

Lei Wang (Lead / Corresponding author), William M. Coombs, Charles E. Augarde, Michael Cortis, T. J. Charlton, Michael Brown, Jonathan Knappett, Andrew Brennan, Craig Davidson, David Richards, Anthony Blake

Research output: Contribution to journalArticle

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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.
Original languageEnglish
Pages (from-to)1003-1025
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume355
Early online date17 Jul 2019
DOIs
Publication statusPublished - 1 Oct 2019

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Torsional stress
torsion
geotechnical engineering
solid mechanics
Geotechnical engineering
Biomedical engineering
plastic deformation
interpolation
mesh
Plastic deformation
Numerical methods
Interpolation
Mechanics
engineering

Keywords

  • Material Point Method
  • Convected Particle Domain Interpolation
  • large deformation mechanics
  • elasto-plasticity
  • distortion
  • Elasto-plasticity
  • Large deformation mechanics
  • Distortion
  • Material point method
  • Convected particle domain interpolation

Cite this

Wang, Lei ; Coombs, William M. ; Augarde, Charles E. ; Cortis, Michael ; Charlton, T. J. ; Brown, Michael ; Knappett, Jonathan ; Brennan, Andrew ; Davidson, Craig ; Richards, David ; Blake, Anthony. / On the use of domain-based material point methods for problems involving large distortion. In: Computer Methods in Applied Mechanics and Engineering. 2019 ; Vol. 355. pp. 1003-1025.
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On the use of domain-based material point methods for problems involving large distortion. / Wang, Lei (Lead / Corresponding author); Coombs, William M.; Augarde, Charles E.; Cortis, Michael; Charlton, T. J.; Brown, Michael; Knappett, Jonathan; Brennan, Andrew; Davidson, Craig; Richards, David; Blake, Anthony.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 355, 01.10.2019, p. 1003-1025.

Research output: Contribution to journalArticle

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AU - Wang, Lei

AU - Coombs, William M.

AU - Augarde, Charles E.

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AU - Charlton, T. J.

AU - Brown, Michael

AU - Knappett, Jonathan

AU - Brennan, Andrew

AU - Davidson, Craig

AU - Richards, David

AU - Blake, Anthony

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KW - Large deformation mechanics

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