Abstract
This work presents two schemes of Cosserat peridynamics based on Timoshenko beam element in Finite Element Method (FEM) and contact particle model in Discrete Element Method (DEM) respectively. In difference with the traditional bond-based peridynamics, the bond in the Cosserat peridynamics can transmit not only the pairwise force but also the pairwise moment. In order to modelling crack propagation in Cosserat peridynamics, a new failure criterion for bond broken is developed including the effects of rotation. In addition, the relation between internal length scale and the peridynamic horizon is discussed. It is found that the horizon in Cosserat peridynamics has a lower limit related to the internal length scale. Compared with the existing model, corresponding numerical results indicate the validation and effectiveness of Cosserat peridynamics.
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