本文選題：DDA　切入點(diǎn)：線性位移模式　出處：《巖土力學(xué)》2016年03期

【摘要】：傳統(tǒng)的非連續(xù)變形分析法(DDA)法采用簡(jiǎn)單的線性位移模式計(jì)算效率高,描述大塊體的高階多項(xiàng)式位移模式在一定程度保留了該特點(diǎn),并提高了計(jì)算精度。近年來(lái)流行的耦合有限元、自然單元的DDA法實(shí)質(zhì)上是引入相應(yīng)的插值形函數(shù)構(gòu)成塊體位移函數(shù),計(jì)算相對(duì)低效,但具有計(jì)算更精細(xì)、更容易施加邊界條件等優(yōu)點(diǎn)。為結(jié)合傳統(tǒng)DDA法與DDA耦合法各自的優(yōu)點(diǎn),建立了一種同時(shí)利用傳統(tǒng)DDA法線性位移模式與耦合型DDA法非線性位移模式的混合法。該方法非線性模式主要針對(duì)大塊體,采用了自然單元插值,緣于其具有一定無(wú)網(wǎng)格特征,且效率比有限元高。建立了混合模式下的整體矩陣并推導(dǎo)出接觸等因素剛度子矩陣和荷載子向量的具體表達(dá)式。該方法建模更加方便合理,計(jì)算精度、效率介于線性模式的傳統(tǒng)DDA法和非線性位移模式的耦合法之間。通過(guò)基本算例驗(yàn)證了混合法的有效性,并給出了節(jié)理圍巖-隧道襯砌整體分析模型的計(jì)算結(jié)果,體現(xiàn)了新方法的優(yōu)越性。
[Abstract]:The traditional method of discontinuous deformation analysis (DDAA) has high computational efficiency using simple linear displacement model. The higher-order polynomial displacement model for describing large blocks retains this characteristic to some extent and improves the accuracy of calculation.In recent years, coupled finite element method (DDA method) has been widely used. In essence, the DDA method of natural element is to introduce the corresponding interpolation form function to form the block displacement function, and to calculate the displacement function relatively inefficiently, but it has the advantages of more precise calculation and easier application of boundary conditions.In order to combine the advantages of the traditional DDA method and the DDA coupling method, a hybrid method using the linear displacement model of the traditional DDA method and the nonlinear displacement model of the coupled DDA method is established.The nonlinear model is mainly used for large blocks and natural element interpolation is used because it has some meshless features and its efficiency is higher than that of finite element method.The global matrix in mixed mode is established and the concrete expressions of stiffness submatrix and load subvector of contact and other factors are derived.This method is more convenient and reasonable in modeling, accuracy and efficiency is between the traditional DDA method of linear model and the coupling method of nonlinear displacement mode.The effectiveness of the hybrid method is verified by a basic example, and the calculation results of the whole analysis model of jointed surrounding rock and tunnel lining are given, which reflects the superiority of the new method.
【作者單位】： 寧波工程學(xué)院建筑與交通工程學(xué)院;中國(guó)科學(xué)院武漢巖土力學(xué)研究所巖土力學(xué)與工程國(guó)家重點(diǎn)實(shí)驗(yàn);
【基金】：973項(xiàng)目(No.2014CB047100) 浙江省自然科學(xué)基金(No.LY13E080009,No.Y1111133)~~
【分類號(hào)】：TU45

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