
Improvements in the prediction of product size distribution under confinement condition of the Tavares Breakage Model embedded in EDEM
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The Tavares Breakage Model (TBM) is a particle replacement model that was proposed and validated under impact conditions and at moderate to high deformation rates considering only one or two contact points [1], in which the total energy available for breakage is calculated based on arithmetic summation of each contact. In real systems, particles are often stressed when contained in beds, where particle interactions become important. Indeed, in many practical applications (e.g., mining, roller pressing and soil mechanics), particles are subjected to multi-axial stress states rather than simple uniaxial compression. In the present work, three approaches were implemented in the TBM to calculate the effective energy applied to the particles under multiple contacts. Initially, a simple expression was proposed, inspired by previous work [2], where the energy applied to the particle is reduced in function of the coordination number. This approach has the limitation of being only geometrical and not directly calculating the real stress conditions to which particles are subject. On the other hand, the other two methods are based on the stress tensor calculation, one uses the deviatory stress tensor and the other the Mohr-Coulomb as failure criterion. These calculations were related to elasticity theory with strain energy concepts to be applied to TBM expressions. Experiments in the piston-and-die test with a material previously detailed and characterized were performed to evaluate the prediction of each approach. Results show the positive influence of the three approaches in the model prediction under confinement conditions describing the particle bed deformation and product size distribution under different stress levels. In spite of the simplicity of the empirical model based on the coordination number, good correspondence was observed with experiments, as well as the strategies based on the stress tensor calculations.