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基于Mohr-Coulomb模型土體內(nèi)柱形孔擴(kuò)張的彈塑性解及應(yīng)用

發(fā)布時(shí)間:2018-05-14 08:37

  本文選題:塑性極限平衡分析 + 柱形孔擴(kuò)張; 參考:《北京交通大學(xué)》2014年碩士論文


【摘要】:土的抗剪強(qiáng)度參數(shù)對(duì)于巖土工程的設(shè)計(jì)和施工非常重要,但是現(xiàn)有原位測(cè)試中還沒有能夠直接獲得土體抗剪強(qiáng)度參數(shù)的原位測(cè)試方法。為了解決這個(gè)問題,本文基于Mohr-Coulomb模型和Vesic圓孔擴(kuò)張理論對(duì)土體內(nèi)的柱形孔擴(kuò)張問題進(jìn)行了彈塑性分析,并根據(jù)得到的解析解提出了一種新型的原位測(cè)試儀的概念設(shè)計(jì)。本論文的主要工作及成果如下: 1)進(jìn)行了大量相關(guān)文獻(xiàn)的調(diào)研和閱讀,對(duì)國(guó)內(nèi)外的研究成果進(jìn)行了歸納和整理;分析了當(dāng)前理論研究現(xiàn)狀,深入了解圓孔擴(kuò)張理論的原理、應(yīng)用情況以及各種理論的優(yōu)缺點(diǎn)。 2)基于彈塑性理論,利用極限平衡分析方法,在現(xiàn)有的彈性分析的基礎(chǔ)上對(duì)均勻圍壓下和雙向不等圍壓下的柱形孔擴(kuò)張問題進(jìn)行了塑性分析;推導(dǎo)出了彈性極限壓力與土體抗剪強(qiáng)度參數(shù)的關(guān)系,孔體積的變化與內(nèi)壓力p及抗剪強(qiáng)度參數(shù)的關(guān)系,孔內(nèi)壓力與塑性區(qū)分布范圍的關(guān)系,塑性區(qū)的應(yīng)變和位移分量,孔周土體塑性區(qū)的變形速率,以及小應(yīng)變條件下孔壁的塑性變形。 3)采用有限元軟件MIDAS對(duì)均勻圍壓下和雙向不等圍壓下的柱形孔擴(kuò)張問題進(jìn)行數(shù)值了仿真分析,分析了均勻圍壓下柱形孔周塑性區(qū)半徑的開展與孔內(nèi)壓力的關(guān)系,不同抗剪強(qiáng)度參數(shù)下塑性區(qū)范圍的變化規(guī)律,以及雙向不等圍壓下的彈性極限應(yīng)力,并與理論分析和推導(dǎo)的結(jié)果進(jìn)行對(duì)比和分析,驗(yàn)證了推導(dǎo)得到的理論解。 4)分析了當(dāng)前國(guó)內(nèi)外根據(jù)原位測(cè)試方法求取巖土體參數(shù)的不足,以前文推導(dǎo)出的彈性極限壓力和孔的體積變化與土體抗剪強(qiáng)度參數(shù)的關(guān)系為原理,提出了一種新型的直接測(cè)量土體抗剪強(qiáng)度參數(shù)的原位測(cè)試裝置概念設(shè)計(jì)。
[Abstract]:The shear strength parameters of soil are very important for the design and construction of geotechnical engineering, but there is no in-situ testing method to obtain the shear strength parameters directly in situ testing. In order to solve this problem, based on the Mohr-Coulomb model and Vesic circular hole expansion theory, the elastoplastic analysis of cylindrical pore expansion in soil is carried out, and the conceptual design of a new type of in-situ testing instrument is proposed based on the analytical solution obtained. The main work and results of this thesis are as follows: 1) A large number of related literatures are investigated and read, and the research results at home and abroad are summarized and sorted out, and the current theoretical research situation is analyzed, and the principle, application and advantages and disadvantages of the theory of circular hole expansion are deeply understood. 2) based on the elastic-plastic theory and using the limit equilibrium analysis method, the plastic analysis of cylindrical hole expansion under uniform confining pressure and bidirectional unequal confining pressure is carried out on the basis of the existing elastic analysis. The relationship between the elastic limit pressure and the shear strength parameter, the relationship between the pore volume and the internal pressure p and the shear strength parameter, the relation between the pressure in the hole and the distribution range of the plastic zone, the strain and the displacement component in the plastic zone are deduced. The deformation rate of the plastic zone around the hole and the plastic deformation of the hole wall under the condition of small strain. 3) the expansion of cylindrical holes under uniform confining pressure and bidirectional unequal confining pressure is numerically simulated by finite element software MIDAS, and the relationship between the development of plastic zone radius of cylindrical holes under uniform confining pressure and the pressure inside the hole is analyzed. The variation of the range of plastic zone under different shear strength parameters and the elastic limit stress under bidirectional unequal confining pressure are compared and analyzed with the theoretical analysis and derivation, and the theoretical solution is verified. 4) this paper analyzes the shortage of calculating the parameters of rock and soil according to the in-situ testing method at home and abroad. The principle of the relationship between the elastic limit pressure and the volume change of the pore and the shear strength parameter of the soil is deduced in the previous paper. A new type of in-situ testing device for directly measuring shear strength parameters of soil is presented in this paper.
【學(xué)位授予單位】:北京交通大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類號(hào)】:TU413

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