An efficient and locking-free material point method for three dimensional analysis with simplex elements

Wang, L; Coombs, WM; Augarde, CE; Cortis, M; Brown, MJ; Brennan, AJ; Knappett, JA; Davidson, C; Richards, D; White, DJ; White, AP

Abstract

The Material Point Method is a relative newcomer to the world of solid mechanicsmodelling. Its key advantage is the ability to model problems having large defor-mations while being relatively close to standard nite element methods, howeverits use for realistic engineering applications will happen only if the material pointcan be shown to be both ecient and accurate (compared to standard nite elementmethods), when modelling complex geometries with a range of material models. Inthis paper we present developments of the standard material point method aimed atrealising these goals. The key contribution provided here is the development of amaterial point method that avoids volumetric locking (arising from elastic or elasto-plastic material behaviour) whilst using low order tetrahedral nite elements forthe background computational mesh, hence allowing unstructured background gridsto be used for complex geometries. We also show that these developments can beeectively parallelised to improve computational eciency

Citation

Wang, L., Coombs, W., Augarde, C., Cortis, M., Brown, M., Brennan, A., Knappett, J., Davidson, C., Richards, D., White, D., & White, A. (2021). An efficient and locking-free material point method for three dimensional analysis with simplex elements. International Journal for Numerical Methods in Engineering, 122(15), 3876-3899. https://doi.org/10.1002/nme.6685

• Journal Article Type: Article
• Acceptance Date: Mar 23, 2021
• Online Publication Date: Apr 4, 2021
• Publication Date: Aug 15, 2021
• Deposit Date: Mar 24, 2021
• Publicly Available Date: May 6, 2021
• Journal: International Journal for Numerical Methods in Engineering
• Print ISSN: 0029-5981
• Electronic ISSN: 1097-0207
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 122
• Issue: 15
• Pages: 3876-3899
• DOI: https://doi.org/10.1002/nme.6685
• Public URL: https://durham-repository.worktribe.com/output/1250572