Projects per year
There is increasing interest in the material point method (MPM) as a means of modelling solid mechanics problems in which very large deformations occur, e.g. in the study of landslides and metal forming; however, some aspects vital to wider use of the method have to date been ignored, in particular methods for imposing essential boundary conditions in the case where the problem domain boundary does not coincide with the background grid element edges. In this paper, we develop a simple procedure originally devised for standard finite elements for the imposition of essential boundary conditions, for the MPM, expanding its capabilities to model boundaries of any inclination. To the authors' knowledge, this is the first time that a method has been proposed that allows arbitrary Dirichlet boundary conditions (zero and nonzero values at any inclination) to be imposed in the MPM. The method presented in this paper is different from other MPM boundary approximation approaches, in that (1) the boundaries are independent of the background mesh, (2) artificially stiff regions of material points are avoided, and (3) the method does not rely on mirroring of the problem domain to impose symmetry. The main contribution of this work is equally applicable to standard finite elements and the MPM.
|Number of pages||23|
|Journal||International Journal for Numerical Methods in Engineering|
|Early online date||21 Jun 2017|
|Publication status||Published - 6 Jan 2018|
- embedded boundaries
- material point method
- nonmatching meshes
On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticityCoombs, W. M., Augarde, C., Brown, M., Brennan, A., Charlton, T., Knappett, J., Motlagh, Y. & Wang, L., 1 Jan 2020, In: Computer Methods in Applied Mechanics and Engineering. 358, p. 1-32 32 p., 112622.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile6 Citations (Scopus)112 Downloads (Pure)
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 journal › Article › peer-reviewOpen AccessFile2 Citations (Scopus)208 Downloads (Pure)
Robinson, S., Brown, M., Brennan, A., Augarde, C. & Coombs, W. M., 14 Oct 2019, Proceedings of the 16th Asian Regional Conference on Soil Mechanics and Geotechnical Engineering. Southeast Asian Geotechnical Society, 4 p. JGS-045
Research output: Chapter in Book/Report/Conference proceeding › Conference contributionOpen AccessFile
DeepOcean, UK lunch and learn session, Physical modelling of seabed ploughing for cable and pipeline installation
Michael Brown (Invited speaker)14 Dec 2018
Activity: Talk or presentation types › Invited talk