【摘要】：在彈塑性損傷理論框架內(nèi)考慮巖石的塑性變形機(jī)制和剛度退化,建立基于Mohr-Coulomb(M-C)屈服準(zhǔn)則的彈塑性損傷模型,采用內(nèi)變量即等效塑性應(yīng)變表征巖石損傷變量的演化。由于M-C屈服準(zhǔn)則在應(yīng)力空間為一個(gè)六棱錐,在數(shù)值實(shí)施過(guò)程中六棱錐角點(diǎn)和棱線上的應(yīng)力更新存在"奇異性"問(wèn)題,角點(diǎn)光滑化方法可以處理該問(wèn)題,但其不可避免的導(dǎo)致近似的計(jì)算結(jié)果。在M-C本構(gòu)數(shù)值積分算法的基礎(chǔ)上,推導(dǎo)彈塑性損傷本構(gòu)方程的主應(yīng)力空間隱式返回映射算法,包括彈性預(yù)測(cè)、塑性修正和損傷修正3個(gè)主要計(jì)算步驟。在塑性修正過(guò)程中,針對(duì)流動(dòng)向量返回到主平面、左右棱線和尖點(diǎn)3種情況分別進(jìn)行討論,從主應(yīng)力空間的角度出發(fā)解決"奇異性"問(wèn)題。采用面向?qū)ο蟮木幊谭椒?使用C++語(yǔ)言開(kāi)發(fā)彈塑性損傷本構(gòu)求解程序(RDM-C),并采用單軸壓縮試驗(yàn)、地基和洞室算例對(duì)程序計(jì)算的結(jié)果進(jìn)行分析和驗(yàn)證。研究結(jié)果表明,所建立的彈塑性損傷本構(gòu)模型能夠較好地描述巖石材料主要的力學(xué)和變形特性、塑性區(qū)和損傷區(qū)變化趨勢(shì)�；谥鲬�(yīng)力空間的隱式積分算法所開(kāi)發(fā)的程序可以進(jìn)行巖土工程問(wèn)題的數(shù)值分析,對(duì)現(xiàn)場(chǎng)施工提供指導(dǎo)和理論依據(jù)。
[Abstract]:Considering the plastic deformation mechanism and stiffness degradation of rock in the framework of elastic-plastic damage theory, an elastic-plastic damage model based on Mohr-Coulomb (M-C) yield criterion is established. The evolution of rock damage variable is characterized by internal variable (equivalent plastic strain). Because the M-C yield criterion is a hexagonal cone in stress space, there is a singularity problem in the stress renewal of the hexagonal corner and prism in the numerical implementation, and the corner smoothing method can deal with this problem. But it inevitably leads to approximate results. Based on the M-C constitutive numerical integral algorithm, the principal stress space implicit return mapping algorithm for elastoplastic damage constitutive equation is derived, which includes three main steps: elastic prediction, plastic correction and damage correction. In the process of plastic modification, the "singularity" problem is solved from the point of view of principal stress space for the flow vector returning to the main plane, the left and right edges and the point of view respectively. The elastoplastic damage constitutive solution program (RDM-C) is developed by using C language and object-oriented programming method. The results of the program are analyzed and verified by uniaxial compression test and numerical examples of foundation and cavern. The results show that the elastoplastic damage constitutive model can well describe the main mechanical and deformation characteristics of rock materials and the trend of plastic and damage zones. The program developed by implicit integral algorithm based on principal stress space can be used for numerical analysis of geotechnical engineering problems and provide guidance and theoretical basis for field construction.
【作者單位】： 大連海事大學(xué)道路與橋梁研究所;沈陽(yáng)工業(yè)大學(xué)建筑與土木工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(No.51608332,No.51678101) 遼寧省博士啟動(dòng)基金(No.201601160) 遼寧省教育廳項(xiàng)目(No.201564064)~~
【分類(lèi)號(hào)】：TU45

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