Numerical simulations using a generalized interpolation material point method (GIMP) and material point method were introduced into the studying of granular mixing in a rotary drum. A Drucker–Prager model that has an equal size with a Mohr–Coulomb criterion was adopted to predict the failure behavior of granular matter. Experiments and discrete element method simulations were conducted to validate the models, and GIMP was finally used due to its accuracy and the ability for eliminating the crossing boundary noise. Velocity field of bed surface and standard deviation were used to measure the mixing performance. In particular, the influence of mesh size, elastic modulus, cohesion, and filling level were investigated. The results of simulations show that the utilization of GIMP significantly reduces the computing cost of simulation. The analysis of mixing performance shows that mixing performance decreases with the increase of elastic moduli, cohesion of granular matter, and filling levels.

中文翻译：

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广义插值物点法在转鼓内颗粒混合的数值模拟

使用广义插值物点法（GIMP）和物点法的数值模拟被引入到旋转滚筒中颗粒混合的研究中。采用与Mohr-Coulomb准则大小相等的Drucker-Prager模型来预测颗粒物的破坏行为。通过实验和离散元方法仿真来验证模型，并且由于其准确性和消除交叉边界噪声的能力，最终使用了GIMP。床面速度场和标准偏差用于测量混合性能。特别是，研究了筛孔尺寸，弹性模量，内聚力和填充水平的影响。仿真结果表明，GIMP的使用大大降低了仿真的计算成本。