Advances in meshless methods with application to geotechnics

Heaney, C.E.; Augarde, C.E.; Deeks, A.J.; Coombs, W.M.; Crouch, R.S.

Abstract

Finite element methods are well-established for modelling problems in geotechnics involving elasto-plastic constitutive models. However, meshless methods could offer some advantages for problems involving finite deformations as the mesh entanglement problem is then removed. In addition, major savings could be made in the pre-processing stage for 3D problems. Both of these features are of interest to geotechnical modellers. In this paper we review the use of meshless methods for modelling plasticity, highlighting some potential problems particular to the methods' formulations. We then demonstrate the use of a recently developed hybrid method based on the meshless local Petrov-Galerkin method for some simple examples in elasto-plasticity and show that there are important issues to be considered. Finally we comment briefly on the amendments required for modelling finite deformation, which are underway.

Citation

Heaney, C., Augarde, C., Deeks, A., Coombs, W., & Crouch, R. (2010). Advances in meshless methods with application to geotechnics. In T. Benz, & S. Nordal (Eds.), Numerical Methods in Geotechnical Engineering (239-244)

• Conference Name: 7th European Conference on Numerical Methods in Geotechnical Engineering
• Conference Location: Trondheim, Norway
• Publication Date: 2010-06
• Deposit Date: Sep 10, 2010
• Pages: 239-244
• Series Title: Numerical Methods in Geotechnical Engineering
• Book Title: Numerical Methods in Geotechnical Engineering
• Public URL: https://durham-repository.worktribe.com/output/1159854