本文選題：骨料隨機(jī)分布 + 漸近均勻化方法��； 參考：《湘潭大學(xué)》2017年碩士論文

【摘要】：水泥基材料是工程建設(shè)中應(yīng)用極為廣泛的一類復(fù)合材料,其中混凝土、砂漿是最常見水泥基材料,水泥基材料的力學(xué)參數(shù)對(duì)其力學(xué)性能以及工作性能有密切關(guān)聯(lián)。計(jì)算水泥基材料等效力學(xué)參數(shù)的關(guān)鍵之一是計(jì)算水泥基復(fù)合材料的等效彈性模量。漸近均勻化方法(Asymptotic Homogenization Method,簡稱AHM)是一種求解復(fù)合材料等效彈性模量的多尺度數(shù)學(xué)方法,本文以實(shí)驗(yàn)數(shù)據(jù)為建模依據(jù),建立了考慮三維隨機(jī)骨料分布代表體積單元(Representative Elementary Volume,簡稱RVE),從細(xì)觀力學(xué)尺度,采用AHM計(jì)算了水泥基材料等效彈性模量,并對(duì)水泥基材料等效力學(xué)參數(shù)的影響因素進(jìn)行了研究。本文的研究內(nèi)容和主要結(jié)論如下:(1)基于已有實(shí)驗(yàn)中骨料級(jí)配與基體幾何信息及力學(xué)參數(shù)建立了骨料隨機(jī)分布三維RVE,采用漸近均勻化分析計(jì)算出RVE的等效力學(xué)參數(shù),等效力學(xué)參數(shù)與已有經(jīng)典文獻(xiàn)實(shí)驗(yàn)結(jié)果吻合。(2)分析了顆粒級(jí)配對(duì)水泥基材料等效力學(xué)參數(shù)的影響。建立了在同一體積率下,骨料粒徑分布分別服從正態(tài)分布與均勻分布的三維RVE,并計(jì)算出各自的等效力學(xué)參數(shù),兩種分布下的計(jì)算結(jié)果差異不顯著。(3)分析了水泥基材料的本構(gòu)關(guān)系對(duì)構(gòu)件力學(xué)性能的影響。分別計(jì)算材料本構(gòu)關(guān)系為各向同性與各向異性的情況下,混凝土板在自重與均布荷載作用下的應(yīng)力應(yīng)變等力學(xué)性能的區(qū)別。在考慮材料各向異性時(shí),構(gòu)件應(yīng)力應(yīng)變以及變形均小于各項(xiàng)同性的情況,但差別不顯著。
[Abstract]:Cement based materials are widely used in engineering construction, in which concrete and mortar are the most common cement based materials. The mechanical parameters of cement based materials are closely related to their mechanical properties and working properties. One of the keys to calculate the equivalent mechanical parameters of cement based materials is to calculate the equivalent elastic modulus of cement based composites. Asymptotic homogenization method A symptotic Homogenization method (AHM) is a multi-scale mathematical method for solving the equivalent modulus of elasticity of composite materials. In this paper, the experimental data are used as the basis for modeling. In this paper, the equivalent elastic modulus of cement-based material is calculated by using AHM from the meso-mechanical scale considering the representative Elementary volume unit of three-dimensional random aggregate distribution, and the influencing factors of the equivalent mechanical parameters of cement-based material are studied. The contents and main conclusions of this paper are as follows: (1) based on the geometric information and mechanical parameters of aggregate gradation and matrix in previous experiments, the random distribution of aggregates is established, and the equivalent mechanical parameters of RVE are calculated by asymptotic homogenization analysis. The effect of particle gradation on the equivalent mechanical parameters of cement-based materials was analyzed. Three dimensional RVEs with normal distribution and uniform distribution were established for aggregate particle size distribution at the same volume rate, and their equivalent mechanical parameters were calculated. The effect of constitutive relation of cement-based materials on the mechanical properties of structural members was analyzed. When the constitutive relation of material is isotropic and anisotropic, the difference of mechanical properties of concrete slab under self-weight and uniformly distributed load is obtained. When anisotropy is considered, the stress, strain and deformation of the member are smaller than that of each other, but the difference is not significant.
【學(xué)位授予單位】：湘潭大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TU528

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本文編號(hào)：1822164