Projects per year
Abstract
The Material Point Method is a relative newcomer to the world of solid mechanics modelling. Its key advantage is the ability to model problems having large deformations while being relatively close to standard finite element methods, however its use for realistic engineering applications will happen only if the material point can be shown to be both efficient and accurate (compared to standard finite element methods), when modelling complex geometries with a range of material models. In this paper we present developments of the standard material point method aimed at realizing these goals. The key contribution provided here is the development of a material point method that avoids volumetric locking (arising from elastic or elasto-plastic material behavior) while using low-order tetrahedral finite elements for the background computational mesh, hence allowing unstructured background grids to be used for complex geometries. We also show that these developments can be effectively parallelized to improve computational efficiency.
Original language | English |
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Pages (from-to) | 3876-3899 |
Number of pages | 24 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 122 |
Issue number | 15 |
Early online date | 4 Apr 2021 |
DOIs | |
Publication status | Published - 15 Aug 2021 |
Keywords
- elasto-plasticity
- finite deformation mechanics
- material point method
- parallel analysis
- volumetric locking
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
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Dive into the research topics of 'An efficient and locking-free material point method for three dimensional analysis with simplex elements'. Together they form a unique fingerprint.Projects
- 2 Finished
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Effects of screw pile installation on installation requirements and in-service performance using the Discrete Element Method
Sharif, Y. U., Brown, M. J., Cerfontaine, B., Davidson, C., Ciantia, M. O., Knappett, J. A., Brennan, A., Ball, J. D., Augarde, C., Coombs, W. M., Blake, A., Richards, D., White, D., Huisman, M. & Ottolini, M., Sept 2021, In: Canadian Geotechnical Journal. 58, 9, p. 1334-1350 17 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile9 Citations (Scopus)285 Downloads (Pure) -
Using discrete element method (DEM) to create a cone penetration test (CPT)-based method to estimate the installation requirements of rotary-installed piles in sand
Sharif, Y., Brown, M., Ciantia, M., Cerfontaine, B., Davidson, C., Knappett, J., Meijer, G. & Ball, J. D., Jul 2021, In: Canadian Geotechnical Journal. 58, 7, p. 919-935 17 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Citations (Scopus)233 Downloads (Pure) -
On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity
Coombs, 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-review
Open AccessFile22 Citations (Scopus)183 Downloads (Pure)