Comparison of Granular Material Behaviour Under Drained Triaxial and Plane Strain Conditions Using 3D DEM Simulations
Three dimensional (3D) DEM (discrete element method) simulations of drained triaxial compression and plane strain tests are presented for both dense and loose assemblies of polydisperse spheres using a periodic cell. In the work reported, drained tests were modelled by deforming the samples under constant mean stress conditions. The drained behaviour is shown to be qualitatively similar to published physical experimental results. The Bishop’s formula for the estimation of the intermediate principal stress is evaluated. The existence of critical density is shown to be independent of initial packing densities and strain conditions. Different failure criteria have been compared based on the DEM simulation results, and the Lade criterion is found to be the most appropriate one. A new microscopic fabric parameter is introduced to give insight to structural anisotropy under general 3D fabric conditions. It is found that two parameters characterize the evolution of the stress and fabric respectively independent of strain conditions.
Key wordsDEM simulations drained constant mean stress failure criteria fabric
Unable to display preview. Download preview PDF.
- Cundall, P.A., A computer model for simulating progressive large-scale movements in blocky rock systems. In: Proceedings of the Symposium of the International Society for Rock Mechanics, Nancy, 1971, 1: 132–150.Google Scholar
- Cundall, P.A., Computer simulations of dense sphere assemblies. Micromechanics of Granular Materials, Satake and Jenkins (eds), Amsterdam: Elsevier Science Publishers, 1988: 113–123.Google Scholar
- Thornton, C. and Sun, G., Axisymmetric compression of 3D polydisperse systems of spheres. Powders and Grains 93, Thornton (ed.), Rotterdam: Balkema, 1993: 129–134.Google Scholar
- Thornton, C. and Zhang, L., Probing of the mechanical response of granular material in general 3D stress space. Geomechanics and Geotechnics of Particulate Media, Hyodo, Murata and Nakate (eds.), Yamaguchi: Taylor & Francis, 2006: 199–204.Google Scholar
- Thornton, C. Future developments in discrete element approaches. An introduction: Mechanics of Granular Materials, Oda and Iwashita (eds.), Rotterdam: Balkema, 1999: 217–219.Google Scholar
- Thornton, C. and Randall, C.W., Applications of theoretical contact mechanics to solid particle system simulation. Micromechanics of Granular Materials, Satake and Jenkins (eds), Amsterdam: Elsevier Science Publishers, 1988: 133–142.Google Scholar
- Gong, G., DEM Simulations of Drained and Undrained Behaviour. PhD thesis, University of Birmingham, UK, 2008.Google Scholar
- Schofield, M.A. and Wroth, C.P., Critical State Soil Mechanics, London: McGraw-Hill, 1968.Google Scholar
- Lade, P.V. and Duncan, J.M., Cubical triaxial tests on cohesionless soil. Journal of the Soil Mechanics and Foundations Division, ASCE, 1973, 99(SM10): 793–812.Google Scholar
- Lade, P.V. and Duncan, J.M., Elastoplastic stress-strain theory for cohensionless soil. Journal of Geotechnical Engineering Division, ASCE, 1975, 101(GT10): 1037–1053.Google Scholar