【摘要】：真實顆粒的力學性質會受到其隨機粗糙表面的影響,然而在傳統(tǒng)離散元模擬中通常假設顆粒具有光滑表面,因此有必要在定量考慮顆粒表面粗糙度的基礎上改進離散元的接觸模型。本文基于經典GreenwoodWilliamson(GW)模型通過理論分析和數值模擬提出了一種可以考慮顆粒表面粗糙度的法向接觸定律;開發(fā)了基于Newton-Raphson迭代的數值計算方法,通過輸入顆粒重疊量和一系列表面粗糙系數計算總接觸力;討論了改進計算方法效率和準確性的相關問題。相對于GW模型中接觸關系的復雜積分表示,擬合得到新隨機接觸定律的表達式具有類似Hertz定律的簡單結構,只包含一個表征顆粒表面粗糙度標準偏差的新增參數,σ,可以方便的引入當前離散元模擬程序中進行計算。
[Abstract]:The mechanical properties of real particles are affected by their random rough surfaces. However, in the traditional discrete element simulation, it is usually assumed that the particles have smooth surfaces. Therefore, it is necessary to improve the contact model of discrete element based on the quantitative consideration of particle surface roughness. Based on the classical GreenwoodWilliamson (GW) model, a normal contact law considering particle surface roughness is proposed by theoretical analysis and numerical simulation. A numerical calculation method based on Newton-Raphson iteration is developed to calculate the total contact force through the input of particle overlap and a series of surface roughness coefficients, and the related problems of improving the efficiency and accuracy of the calculation method are discussed. Compared with the complex integral representation of the contact relation in the GW model, the expression obtained by fitting the new random contact law has a simple structure similar to that of the Hertz's law, and contains only one additional parameter representing the standard deviation of particle surface roughness, 蟽, Can be easily introduced into the current discrete element simulation program for calculation.
【作者單位】： 斯旺西大學辛克維奇計算工程中心;武漢大學水利水電學院;
【分類號】：O347.7

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