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Article

Krejčí, Pavel ; Siváková, Lenka ; Chleboun, Jan
Modelled behaviour of granular material during loading and unloading. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 81-88
MSC: 74C15, 74E20, 74L10 | DOI: 10.21136/panm.2018.09
Keywords:
granular materials; hypoplasticity; ratcheting
Summary:
The main aim of this paper is to analyze numerically the model behaviour of a granular material during loading and unloading. The model was originally proposed by D. Kolymbas and afterward modified by E. Bauer. For our purposes the constitutive equation was transformed into a rate independent form by introducing a dimensionless time parameter. By this transformation we were able to derive explicit formulas for the strain-stress trajectories during loading-unloading cycles and compare the results with experiments. We were particularly interested in the observation of a special behaviour called ratchetlike motion in vibrated granular materials.
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