本文選題：巖石材料 + 摩爾庫倫準(zhǔn)則��； 參考：《哈爾濱工業(yè)大學(xué)》2014年碩士論文

【摘要】：近年來，國內(nèi)外眾多重大巖體工程相繼發(fā)生失穩(wěn)破壞，造成了巨大的經(jīng)濟(jì)損失和大量的人員傷亡。然而，現(xiàn)有的數(shù)值方法卻不能夠很好地模擬巖體工程的穩(wěn)定性。因此，開發(fā)一種能夠考慮巖石裂紋的萌生、擴(kuò)展和貫通并且可以模擬巖體工程穩(wěn)定性的程序，是一個(gè)迫切需要解決的問題。ABAQUS是現(xiàn)在通用的有限元專業(yè)軟件之一，具有強(qiáng)大的非線性分析功能，同時(shí)ABAQUS提供的二次開發(fā)子程序接口可以方便用戶根據(jù)自身需要建立用戶子程序，擴(kuò)充ABAQUS的用途。其中UMAT子程序接口具有穩(wěn)定性好、開放性強(qiáng)等特點(diǎn)，被眾多學(xué)者用來研究和開發(fā)本構(gòu)模型。因此，本文在研究巖石損傷統(tǒng)計(jì)本構(gòu)模型的基礎(chǔ)上，給出了基于摩爾庫倫準(zhǔn)則的巖石彈塑性UMAT子程序，，并對其參數(shù)進(jìn)行了分析。 在對巖石的損傷統(tǒng)計(jì)本構(gòu)模型進(jìn)行研究時(shí)，采用了新的巖石微元強(qiáng)度量方法及考慮了巖石損傷閥值的影響。同時(shí)推導(dǎo)了巖石本構(gòu)中損傷變量的表達(dá)式，并分析了巖石本構(gòu)模型參數(shù)的確定，最終給出了巖石本構(gòu)程序設(shè)計(jì)流程。 巖石在產(chǎn)生損傷前就己經(jīng)進(jìn)入彈塑性階段，然而最常采用的判斷巖石材料是否屈服的摩爾庫倫準(zhǔn)則存在數(shù)值計(jì)算繁瑣和收斂緩慢等缺點(diǎn)，因此本文對傳統(tǒng)摩爾庫倫準(zhǔn)則采用屈服函數(shù)拐角處理和雙曲線逼近屈服函數(shù)兩種方法進(jìn)行改進(jìn)。求解出了改進(jìn)的屈服函數(shù)一階偏導(dǎo)數(shù)及勢函數(shù)的一階偏導(dǎo)數(shù)、二階偏導(dǎo)數(shù)的表達(dá)式，此表達(dá)式可用于彈塑性本構(gòu)模型的塑性修正及一致性切線模量的計(jì)算。 本文基于改進(jìn)的摩爾庫倫準(zhǔn)則，編寫了巖石損傷統(tǒng)計(jì)本構(gòu)模型中未發(fā)生損傷部分的彈塑性本構(gòu)模型UMAT子程序。分別采用單軸壓縮試驗(yàn)、純剪切試驗(yàn)、單軸拉伸試驗(yàn)對比基于改進(jìn)后的摩爾庫倫準(zhǔn)則UMAT子程序的計(jì)算結(jié)果與ABAQUS自帶摩爾庫倫準(zhǔn)則程序的計(jì)算結(jié)果，驗(yàn)證了本文基于摩爾庫倫準(zhǔn)則所開發(fā)的未考慮損傷的巖石彈塑性本構(gòu)模型UMAT子程序的準(zhǔn)確性。運(yùn)用所開發(fā)的子程序分析了單軸壓縮試驗(yàn)、純剪切試驗(yàn)、單軸拉伸試驗(yàn)三種不同情況下過渡角的變化對應(yīng)力應(yīng)變計(jì)算結(jié)果的影響。最后，給出巖石損傷統(tǒng)計(jì)本構(gòu)模型中產(chǎn)生損傷階段的算法設(shè)計(jì)思路。
[Abstract]:In recent years, a large number of major rock mass engineering at home and abroad have occurred instability damage, resulting in huge economic losses and a large number of casualties. However, the existing numerical methods can not well simulate the stability of rock mass engineering. Therefore, it is an urgent problem to develop a program that can consider the initiation, expansion and penetration of rock cracks and simulate the stability of rock mass engineering. Abaqus is one of the general finite element software. It has powerful nonlinear analysis function and the secondary development subroutine interface provided by ABAQUS can facilitate users to establish user subroutines according to their own needs and expand the use of ABAQUS. The UMAT subroutine interface is characterized by good stability and openness, which is used by many scholars to study and develop constitutive models. Therefore, on the basis of studying the statistical constitutive model of rock damage, a rock elastoplastic UMAT subroutine based on the Moore Coulomb criterion is presented and its parameters are analyzed. In the study of the statistical constitutive model of rock damage, a new method of rock microelement strength is adopted and the influence of rock damage threshold is considered. At the same time, the expression of damage variable in rock constitutive model is derived, and the determination of rock constitutive model parameters is analyzed. Finally, the flow chart of rock constitutive program design is given. Rock has already entered the elastic-plastic stage before the damage. However, the most commonly used Moore Coulomb criterion to judge the yield of rock materials has the disadvantages of cumbersome numerical calculation and slow convergence. Therefore, the traditional Moore Coulomb criterion is improved by two methods: the corner treatment of yield function and the approximation of yield function by hyperbolic approximation. The expressions of the first order partial derivative and the second order partial derivative of the improved yield function and the potential function are obtained. This expression can be used for the plastic modification of the elastoplastic constitutive model and the calculation of the consistent tangent modulus. Based on the improved Moore Coulomb criterion, the UMAT subroutine of the elastoplastic constitutive model without damage in the statistical constitutive model of rock damage is compiled. The results of uniaxial compression test, pure shear test and uniaxial tensile test were compared between the results of UMAT subroutine based on the improved Mohr Coulomb criterion and the results of ABAQUS's own Moll Coulomb Coulomb Criterion program. The accuracy of the UMAT subprogram of the elastoplastic constitutive model without damage developed in this paper based on the Moore Coulomb criterion is verified. The influence of the transition angle on the stress and strain calculation results under three different conditions: uniaxial compression test, pure shear test and uniaxial tensile test is analyzed by using the developed subroutine. Finally, the algorithm design of the damage phase in the statistical constitutive model of rock damage is given.
【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TU45

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