位移边界对2D-FGM板平面瞬态热应力的影响
发布时间：2018-11-19 09:33
【摘要】：本文选用二维2Zr O/Al 1100/Ti-6Al-4V FGM平板为主要研究模型,采用修正混合模型预测2D-FGM板的热力学物性参数,基于热传导理论和热弹性理论,有限元程序的编程与计算通过选用Fortran语言实现,对第一类加热边界条件下的二维2Zr O/Al 1100/Ti-6Al-4V FGM板的温度场以及不同热力学边界条件下应力场进行求解。根据得出的计算结果,分别对不同热学边界条件下温度场分布的影响规律、不同热力学边界条件下热应力场分布的影响规律进行分析讨论。二维功能梯度板的温度场计算结果显示:位移边界条件对温度场的分布并无影响,这里不再考虑边界条件的变化。当板的初始温度恒定,仅在上侧施加温度荷载时,尽管板的几何形状、初始温度和外在温度荷载均关于x/l=0.5对称,但由于热导率的不同使求解域内左侧温度值明显大于右侧温度值。当同时在2D-FGM板下侧以及左右两侧施加温度荷载时,这使得由于热导率不同而产生的左右两侧的温度差值明显降低。二维功能梯度板的热应力场计算结果显示:热学边界条件和位移边界条件对热应力2D-FGM板的等应力线分布均有明显的影响。热学边界条件决定了2D-FGM板热应力场分布的数值的分布范围;位移边界条件决定了2D-FGM板热应力场等应力线形状的特征。2D-FGM板在简支情况下的左右两端和悬臂板的右端为三个自由边界,其热应力x?=0。在两端固定和四周固定下,矩形板的等应力线不具有对称性,其变化规律和热导率相同。本文对不同热学边界条件和位移边界条件下的2D-FGM板温度场和应力场的研究成果,可为此种功能梯度材料模型结构的设计优化、工程制备及实际应用提供客观、合理的依据。
[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.
【学位授予单位】：河北工程大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：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.
【学位授予单位】：河北工程大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TB34
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