Hypoplastic Constitutive Modelling of Grain Damage Under Plane Shearing
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In this paper a new concept is proposed for the constitutive modeling of grain damage of a cohesionless and unweathered granular material within the framework of micro-polar hypoplasticity. The effect of the change of the grain size distribution as a result of grain abrasion and grain rupture is taken into account in a simplified manner by reducing the mean grain diameter and modifying the constitutive relation for the incremental stiffness. For constitutive modeling it is convenient to distinguish different causes of particle damage such as the increase of the isotropic and deviatoric stress, the increase of the rotation resistance of particles and the abrasion caused by large particle rotation. The focus of this paper is mainly on modeling particle damage as a result of an increase of the curvature and particle rotation, which is investigated for monotonic plane shearing of an infinite granular layer under a constant normal stress.