A thermomicromechanical approach to multiscale continuum modeling of dense granular materials |
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| Authors: | A Tordesillas M Muthuswamy |
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| Institution: | 1. Department of Mathematics and Statistics, University of Melbourne, ?Parkville, VIC, Australia
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| Abstract: | A new method is proposed for the development of a class of elastoplastic thermomicromechanical constitutive laws for granular
materials. The method engenders physical transparency in the constitutive formulation of multiscale phenomena from the particle
to bulk. We demonstrate this approach for dense, cohesionless granular media under quasi-static loading conditions. The resulting
constitutive law—expressed solely in terms of particle scale properties—is the first of its kind. Micromechanical relations
for the internal variables, tied to nonaffine deformation, and their evolution laws, are derived from a structural mechanical
analysis of a particular mesoscopic event: confined, elastoplastic buckling of a force chain. It is shown that the constitutive
law can reproduce the defining behavior of strain-softening under dilatation in both the mesoscopic and macroscopic scales,
and reliably predict the formation and evolution of shear bands. The thickness and angle of the shear band, the distribution
of particle rotation and the evolution of the normal contact force anisotropy inside the band, are consistent with those observed in discrete element simulations and physical experiments. |
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