Abstract
Micromechanical constitutive equations are developed which allow for the broad range of interparticle interactions observed in a real deforming granular assembly: microslip contact, gross slip contact, loss of contact and an evolution in these modes of contact as the deformation proceeds. This was accomplished through a synergetic use of contact laws, which account for interparticle resistance to both sliding and rolling, together withstrain-dependent anisotropies in contacts and the normal contact force. By applying the constitutive model to the bi-axial test it is demonstrated that the model can correctly predict the evolution of various anisotropies as well as the formation of a distinct shear band. Moreover, the predicted shear-band properties (e.g. thickness, prolonged localisation, void ratio) are an even better fit with experimental observations than were previously found by use of previously developed micromechanical models.
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Gardiner, B.S., Tordesillas, A. Micromechanical constitutive modelling of granular media: Evolution and loss of contact in particle clusters. J Eng Math 52, 93–106 (2005). https://doi.org/10.1007/BF02694032
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DOI: https://doi.org/10.1007/BF02694032