Dynamic three-dimensional rigid body interaction with highly deformable solids, a material point approach

Bird, Robert; Pretti, Giuliano; Coombs, William; Augarde, Charles; Sharif, Yaseen; Brown, Michael; Carter, Gareth; Macdonald, Catriona; Johnson, Kirstin

Abstract

The ability to model rigid body interaction with highly deformable solids is a very useful tool in geoengineering, including the modelling of drag anchors on seabeds and seabed ploughing [7, 1]. However, these simulations entail several numerical challenges, such as modelling frictional contact, and incorporating inertia forces for analyses whose simulated time is considerable. Here the implicit Generalised Interpolation Material Point Method (GIMPM) is adopted to model the highly deformable solid, whilst a rigid body is used to model the significantly stiffer engineering object, such as an anchor. The whole system is integrated in time with the Newmark method with interaction between the two bodies occurring through a normal penalty contact and a penalty enforced Coulomb stick-slip friction law.

Citation

Bird, R., Pretti, G., Coombs, W., Augarde, C., Sharif, Y., Brown, M., …Johnson, K. (2024). Dynamic three-dimensional rigid body interaction with highly deformable solids, a material point approach. In W. Coombs (Ed.), Proceedings of the 2024 UK Association for Computational Mechanics Conference (153-156). https://doi.org/10.62512/conf.ukacm2024.092

• Conference Name: UK Association for Computational Mechanics Conference 2024
• Conference Location: Durham, UK
• Start Date: Apr 10, 2024
• End Date: Apr 12, 2024
• Acceptance Date: Jan 26, 2024
• Online Publication Date: Apr 25, 2024
• Publication Date: Apr 25, 2024
• Deposit Date: Jun 24, 2024
• Publisher: Durham University
• Pages: 153-156
• Book Title: Proceedings of the 2024 UK Association for Computational Mechanics Conference
• DOI: https://doi.org/10.62512/conf.ukacm2024.092
• Public URL: https://durham-repository.worktribe.com/output/2500033