【摘要】：本文選用二維2Zr O/Al 1100/Ti-6Al-4V FGM平板為主要研究模型,采用修正混合模型預測2D-FGM板的熱力學物性參數(shù),基于熱傳導理論和熱彈性理論,有限元程序的編程與計算通過選用Fortran語言實現(xiàn),對第一類加熱邊界條件下的二維2Zr O/Al 1100/Ti-6Al-4V FGM板的溫度場以及不同熱力學邊界條件下應力場進行求解。根據(jù)得出的計算結(jié)果,分別對不同熱學邊界條件下溫度場分布的影響規(guī)律、不同熱力學邊界條件下熱應力場分布的影響規(guī)律進行分析討論。二維功能梯度板的溫度場計算結(jié)果顯示:位移邊界條件對溫度場的分布并無影響,這里不再考慮邊界條件的變化。當板的初始溫度恒定,僅在上側(cè)施加溫度荷載時,盡管板的幾何形狀、初始溫度和外在溫度荷載均關(guān)于x/l=0.5對稱,但由于熱導率的不同使求解域內(nèi)左側(cè)溫度值明顯大于右側(cè)溫度值。當同時在2D-FGM板下側(cè)以及左右兩側(cè)施加溫度荷載時,這使得由于熱導率不同而產(chǎn)生的左右兩側(cè)的溫度差值明顯降低。二維功能梯度板的熱應力場計算結(jié)果顯示:熱學邊界條件和位移邊界條件對熱應力2D-FGM板的等應力線分布均有明顯的影響。熱學邊界條件決定了2D-FGM板熱應力場分布的數(shù)值的分布范圍;位移邊界條件決定了2D-FGM板熱應力場等應力線形狀的特征。2D-FGM板在簡支情況下的左右兩端和懸臂板的右端為三個自由邊界,其熱應力x?=0。在兩端固定和四周固定下,矩形板的等應力線不具有對稱性,其變化規(guī)律和熱導率相同。本文對不同熱學邊界條件和位移邊界條件下的2D-FGM板溫度場和應力場的研究成果,可為此種功能梯度材料模型結(jié)構(gòu)的設計優(yōu)化、工程制備及實際應用提供客觀、合理的依據(jù)。
[Abstract]:In this paper, the two-dimensional 2Zr O/Al 1100/Ti-6Al-4V FGM plate is selected as the main research model, and the modified mixed model is used to predict the thermodynamic properties of the 2D-FGM plate, based on the heat conduction theory and the thermoelastic theory. The finite element program is programmed and calculated by using Fortran language. The temperature field of two-dimensional 2Zr O/Al 1100/Ti-6Al-4V FGM plate under the first kind of heating boundary condition and the stress field under different thermodynamic boundary conditions are solved. According to the calculated results, the influence law of temperature field distribution under different thermal boundary conditions and the influence law of thermal stress field distribution under different thermodynamic boundary conditions are analyzed and discussed respectively. The results of temperature field calculation of two dimensional functionally gradient plates show that the displacement boundary condition has no effect on the temperature field distribution and no longer considers the change of the boundary condition here. When the initial temperature of the plate is constant and the temperature load is applied only on the upper side, although the geometric shape, the initial temperature and the external temperature load of the plate are all x/l=0.5 symmetric, However, due to the difference of thermal conductivity, the value of left side temperature in the solution domain is obviously larger than that of right side temperature value. When the temperature load is applied on the lower side and the left side of the 2D-FGM plate at the same time, the temperature difference between the left and the right sides due to the difference in thermal conductivity is obviously reduced. The results of thermal stress field calculation of two-dimensional functionally gradient plates show that the thermal boundary conditions and displacement boundary conditions have obvious effects on the iso-stress line distribution of thermal stress 2D-FGM plates. The thermal boundary condition determines the distribution range of thermal stress field of 2D-FGM plate. The displacement boundary condition determines the shape of the iso-stress line of the thermal stress field of the 2D-FGM plate. The left and right ends of the 2D-FGM plate and the right end of the cantilever plate are three free boundaries, and the thermal stress is zero. At both ends and around the plate, the iso-stress line of the rectangular plate is not symmetrical, and its variation law is the same as the thermal conductivity. In this paper, the research results of temperature field and stress field of 2D-FGM plate under different thermal boundary conditions and displacement boundary conditions can provide an objective and reasonable basis for the design optimization, engineering preparation and practical application of this functionally graded material model.
【學位授予單位】：河北工程大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：TB34

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