Dimensionless input parameters in discrete element modeling and assessment of scaling techniques |
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| Institution: | 1. School of Civil and Resource Engineering, The University of Western Australia, 35 Stirling Hwy, Crawley, WA 6009, Australia;2. Division of Civil Engineering, Fulton Building, Dundee University, Dundee DD1 4HN, United Kingdom;1. U.S. Army Engineer Research and Development Center (ERDC), 3909 Halls Ferry Road, Vicksburg, MS 39180, USA;2. Dept. of Civil and Environmental Engineering, Mississippi State University, Mississippi State, MS 39762, USA;3. Center for Advanced Vehicular Systems (CAVS), Mississippi State University, Mississippi State, MS 39762, USA;1. Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK;2. Department of Civil Engineering, University of California, Berkeley, USA;3. University of Montpellier II, France;4. Massachusetts Institute of Technology, Cambridge, USA;1. Institute of Geotechnical Engineering, University of Stuttgart, Pfaffenwaldring 35, 70569 Stuttgart, Germany;2. McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada |
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| Abstract: | A set of dimensionless input parameters were defined for DEM using a characteristic time which is a function of density and elastic modulus of particles and an arbitrary characteristic length. Dimensionless strain rate and mass damping ratio are inversely proportional to the characteristic time, and stress is normalized by elastic modulus to give dimensionless stress. It was demonstrated that the response of a model in the dimensionless scale is invariant with the choice of density, elastic modulus and the characteristic length if dimensionless strain rate and mass damping ratio are kept constant. Small time step is a prohibitive aspect of DEM. Scaling techniques are widely employed to enlarge the time step. Using the dimensionless scheme, it was learned that density scaling is equivalent to the use of a higher strain rate, and stiffness scaling results in a higher strain rate and an elevated stress state in the dimensionless scale. |
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| Keywords: | Dimensionless Discrete element method Input parameters Scaling Damping ratio Strain rate |
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