發(fā)布時(shí)間：2018-11-28 12:05

【摘要】：真實(shí)顆粒的力學(xué)性質(zhì)會(huì)受到其隨機(jī)粗糙表面的影響,然而在傳統(tǒng)離散元模擬中通常假設(shè)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(chǔ)上改進(jìn)離散元的接觸模型。本文基于經(jīng)典GreenwoodWilliamson(GW)模型通過(guò)理論分析和數(shù)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(kāi)發(fā)了基于Newton-Raphson迭代的數(shù)值計(jì)算方法,通過(guò)輸入顆粒重疊量和一系列表面粗糙系數(shù)計(jì)算總接觸力;討論了改進(jìn)計(jì)算方法效率和準(zhǔn)確性的相關(guān)問(wèn)題。相對(duì)于GW模型中接觸關(guān)系的復(fù)雜積分表示,擬合得到新隨機(jī)接觸定律的表達(dá)式具有類(lèi)似Hertz定律的簡(jiǎn)單結(jié)構(gòu),只包含一個(gè)表征顆粒表面粗糙度標(biāo)準(zhǔn)偏差的新增參數(shù),σ,可以方便的引入當(dāng)前離散元模擬程序中進(jìn)行計(jì)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(xué)辛克維奇計(jì)算工程中心;武漢大學(xué)水利水電學(xué)院;
【分類(lèi)號(hào)】：O347.7

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