Implicit MPM with second-order convected particle domain interpolation

Lei Wang, William M. Coombs, Charles E. Augarde, Michael Brown

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An implicit material point method (MPM) with the second-order convected particle interpolation (CPDI2) is presented in this paper. In the MPM a body is described by a number of Lagrangian material points, at which state variables are stored and tracked. Calculations are then carried out on a background Eulerian computational mesh. A mapping and re-mapping algorithm is employed, to allow the state variables and other information to be mapped back and forth between the material points and background mesh nodes during an analysis. To reduce the error during these mappings, there are several extensions. The latest extension is termed CPDI2, which uses a quadrilateral particle domain to replace a material point. The CPDI2 extension has been implemented explicitly with using regular grids in published papers. This work develops an implicit CPDI2 method with an elasto-plastic material model. The motivation is that an implicit scheme can reduce the computational cost by allowing a large time step, while enforcing the yield condition accurately and increase stability. Both quadrilateral and triangular particle domains are used. An example shows that the use of a triangular particle domain is more flexible than the quadrilateral particle domain.
Original languageEnglish
Title of host publicationProceedings of the 25th UKACM Conference on Computational Mechanics
EditorsAsaad Faramarzi, Samir Dirar
Place of PublicationUnited Kingdom
PublisherUniversity of Birmingham
Pages264-267
Number of pages4
Publication statusPublished - Apr 2017
Event25th UKACM Conference on Computational Mechanics - University of Birmingham, Birmingham, United Kingdom
Duration: 11 Apr 201713 Apr 2017
http://ukacm2017.ukacm.org/

Conference

Conference25th UKACM Conference on Computational Mechanics
CountryUnited Kingdom
CityBirmingham
Period11/04/1713/04/17
Internet address

Keywords

  • material point method
  • convected particle domain interpolation
  • implicit methods

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  • Research Output

    • 7 Conference contribution
    • 4 Article

    Centrifuge testing to verify scaling of offshore pipeline ploughs

    Robinson, S., Brown, M., Matsui, H., Brennan, A., Augarde, C. E., Coombs, W. M. & Cortis, M., 14 Nov 2019, In : International Journal of Physical Modelling in Geotechnics. 19, 6, p. 305-317 13 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 2 Citations (Scopus)
    187 Downloads (Pure)

    On implementation aspects of implicit MPM for 3D analysis

    Wang, L., Cortis, M., Coombs, W. M., Augarde, C., Brown, M., Knappett, J., Brennan, A., Davidson, C., Richards, D. & Blake, A., 10 Jan 2019, 2nd International Conference on the Material Point Method (MPM2019). Anura3D, p. 97-102 6 p.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  • Centrifuge modelling of screw piles for offshore wind energy foundations

    Davidson, C., Al-Baghdadi, T., Brown, M., Knappett, J., Brennan, A., Augarde, C. E., Wang, L., Coombs, W. M., Richards, D. & Blake, A., 24 Oct 2018, Physical Modelling in Geotechnics: Proceedings of the 9th International Conference on Physical Modelling in Geotechnics (ICPMG 2018), July 17-20, 2018, London, United Kingdom. McNamara, A., Divall, S. & Goodey, R. (eds.). 1 ed. Taylor & Francis, p. 695-700 6 p.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Open Access
    File
  • 4 Citations (Scopus)
    103 Downloads (Pure)

    Cite this

    Wang, L., Coombs, W. M., Augarde, C. E., & Brown, M. (2017). Implicit MPM with second-order convected particle domain interpolation. In A. Faramarzi, & S. Dirar (Eds.), Proceedings of the 25th UKACM Conference on Computational Mechanics (pp. 264-267). University of Birmingham. http://ukacm2017.ukacm.org/wp-content/uploads/2017/04/Proceedings-UKACM2017-compressed.pdf