位移邊界對2D-FGM板平面瞬態(tài)熱應(yīng)力的影響
發(fā)布時(shí)間：2018-11-19 09:33
【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(yù)測2D-FGM板的熱力學(xué)物性參數(shù),基于熱傳導(dǎo)理論和熱彈性理論,有限元程序的編程與計(jì)算通過選用Fortran語言實(shí)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(xué)邊界條件下應(yīng)力場進(jìn)行求解。根據(jù)得出的計(jì)算結(jié)果,分別對不同熱學(xué)邊界條件下溫度場分布的影響規(guī)律、不同熱力學(xué)邊界條件下熱應(yīng)力場分布的影響規(guī)律進(jìn)行分析討論。二維功能梯度板的溫度場計(jì)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(dāng)板的初始溫度恒定,僅在上側(cè)施加溫度荷載時(shí),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(dǎo)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(dāng)同時(shí)在2D-FGM板下側(cè)以及左右兩側(cè)施加溫度荷載時(shí),這使得由于熱導(dǎo)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(yīng)力場計(jì)算結(jié)果顯示:熱學(xué)邊界條件和位移邊界條件對熱應(yīng)力2D-FGM板的等應(yīng)力線分布均有明顯的影響。熱學(xué)邊界條件決定了2D-FGM板熱應(yīng)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(yīng)力場等應(yīng)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(gè)自由邊界,其熱應(yīng)力x?=0。在兩端固定和四周固定下,矩形板的等應(yīng)力線不具有對稱性,其變化規(guī)律和熱導(dǎo)率相同。本文對不同熱學(xué)邊界條件和位移邊界條件下的2D-FGM板溫度場和應(yīng)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(shè)計(jì)優(yōu)化、工程制備及實(shí)際應(yīng)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(xué)位授予單位】：河北工程大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TB34
[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(xué)位授予單位】：河北工程大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TB34
【相似文獻(xiàn)】
相關(guān)期刊論文 前10條
1 高彥峰,王秀峰,羅宏杰;功能梯度材料中的滲流現(xiàn)象及其模型研究[J];陶瓷工程;2000年06期
2 徐智謀,鄭家q，
本文編號(hào)：2341886
本文鏈接：http://sikaile.net/kejilunwen/cailiaohuaxuelunwen/2341886.html
最近更新
教材專著
