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考慮損傷與殘余強(qiáng)度的巖石類材料本構(gòu)模型及其應(yīng)用研究

發(fā)布時(shí)間:2018-07-05 20:53

  本文選題:巖石類材料 + 損傷。 參考:《南京理工大學(xué)》2015年碩士論文


【摘要】:本文基于連續(xù)損傷和統(tǒng)計(jì)強(qiáng)度理論,從巖石內(nèi)部含有大量隨機(jī)分布微缺陷的特點(diǎn)出發(fā),將巖石損傷參量的數(shù)學(xué)模型重新定義為修正的Harris函數(shù),采用Hoek-Brown準(zhǔn)則作為巖石微元統(tǒng)計(jì)分布變量,建立三軸壓縮狀態(tài)下的巖石損傷模型。根據(jù)單軸壓縮試驗(yàn)及統(tǒng)計(jì)損傷理論,由胡克定律修改單軸壓縮條件下Hoek-Brown準(zhǔn)則的表達(dá)式,建立了針對(duì)單軸壓縮狀態(tài)下的巖石損傷本構(gòu)模型。通過(guò)研究單軸壓縮和拉伸條件下巖石力學(xué)特征的規(guī)律與相似性,從全新的角度提出一種建立巖石單軸拉伸損傷模型的方法。三種受力狀態(tài)的損傷本構(gòu)模型都通過(guò)引入損傷系數(shù)J,來(lái)表征巖石的漸進(jìn)破壞特性,也能在一定程度上反映這種準(zhǔn)脆性材料的性質(zhì)。量化的GSI圍巖分級(jí)系統(tǒng)通過(guò)引入節(jié)理?xiàng)l件系數(shù)JC和巖塊體積Vb,對(duì)GSI系統(tǒng)進(jìn)行量化取值,其與新版Hoek-Brown準(zhǔn)則相結(jié)合,可以估算出節(jié)理巖體的峰值強(qiáng)度以及變形模量。聯(lián)系甘肅北山某區(qū)實(shí)際,采用殘余GSI量化評(píng)價(jià)法,通過(guò)折減峰值地質(zhì)強(qiáng)度指標(biāo)得到殘余地質(zhì)強(qiáng)度指標(biāo)GSIr,從而計(jì)算出殘余強(qiáng)度參數(shù),最后確定了該區(qū)的力學(xué)參數(shù)。通過(guò)采用FORTRAN語(yǔ)言開發(fā)完成的USDFLD用戶子程序,提取材料積分點(diǎn)處的最小主應(yīng)力σ3并定義為場(chǎng)變量,從而實(shí)現(xiàn)了材料應(yīng)力-應(yīng)變關(guān)系隨圍壓的變化。針對(duì)室內(nèi)巖石力學(xué)試驗(yàn),利用ABAQUS對(duì)模型單元進(jìn)行有限元計(jì)算并驗(yàn)證了該方法的可行性。最后結(jié)合由量化GSI系統(tǒng)確定的巖體力學(xué)參數(shù),對(duì)深部巷道圍巖的開挖響應(yīng)進(jìn)行模擬分析,其結(jié)果對(duì)實(shí)際工程具有一定的指導(dǎo)意義。
[Abstract]:Based on the theory of continuous damage and statistical strength, the mathematical model of rock damage parameters is redefined as a modified Harris function from the point of view of the fact that there are a large number of randomly distributed microdefects in rock. The damage model of rock under triaxial compression is established by using Hoek-Brown criterion as the statistical distribution variable of rock microelements. According to uniaxial compression test and statistical damage theory, the Hoek-Brown criterion under uniaxial compression is modified by Hooke's law, and the constitutive model of rock damage under uniaxial compression is established. By studying the regularity and similarity of rock mechanical characteristics under uniaxial compression and tensile conditions, a new method to establish uniaxial tensile damage model of rock is proposed from a new point of view. The damage constitutive models of three kinds of stress states can characterize the progressive failure characteristics of rock by introducing damage coefficient J, and can also reflect the properties of this kind of quasi brittle material to a certain extent. By introducing the joint condition factor JC and the volume of rock mass Vb, the quantitative GSI surrounding rock classification system can estimate the peak strength and deformation modulus of jointed rock mass by combining it with the new Hoek-Brown criterion. According to the practice of a certain area in Beishan, Gansu Province, residual GSI quantitative evaluation method is used to obtain the residual geological strength index GSIrby reducing the index of peak geological strength, thus calculating the parameters of residual strength, and finally determining the mechanical parameters of the area. By using the user subprogram of USDFLD developed in FORTRAN language, the minimum principal stress 蟽 3 at the material integration point is extracted and defined as a field variable, so that the stress-strain relationship of the material varies with the confining pressure. The finite element calculation of the model element is carried out by Abaqus and the feasibility of the method is verified. Finally, combined with the mechanical parameters of rock mass determined by the quantitative GSI system, the excavation response of deep roadway surrounding rock is simulated and analyzed. The results have certain guiding significance for practical engineering.
【學(xué)位授予單位】:南京理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類號(hào)】:TU45

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