不同位移边界下2D-FGM板平面瞬态冷却热应力

发布时间：2018-05-20 12:16

本文选题：二维功能梯度材料 + 有限元法　；参考：《河北工程大学》2015年硕士论文

【摘要】：本文以由Ti-6Al-4V、Al 1100和ZrO2所组成的二维常物性功能梯度板为研究模型,研究了在第一类热边界条件下位移边界对该板瞬态冷却热应力的影响。文中以连续介质力学以及热弹性理论为基础,应用经典变分法,得出有限元的基本方程,并编写FORTRAN语言计算程序。应用此程序进行计算,获得了在常物性2D-FGM板的瞬态冷却热应力的分布规律以及位移边界对瞬态冷却热应力的影响规律。分析计算结果可得以下结论:(1)当位移边界条件为简支和悬臂时,随着冷却时间的增加,平面区域内等应力线的绝对值会逐渐减小;而当位移边界条件为两端固定和四周固定时,随着冷却时间的增加,平面区域内等应力线的绝对值会逐渐增大。(2)在相同的冷却时间下,位移边界条件为四周固定时平面区域内的平均应力最大,简支条件时平面区域内的平均应力最小。(3)在整个冷却过程中,位移边界条件为四周固定和两端固定时,平面区域内等应力线值只有正值;而位移边界条件为简支和悬臂时,平面区域内等应力线值有正值和负值。此外,不同位移边界条件下,应力线的变化趋势也比较接近。通过研究位移边界条件对2D-FGM板平面瞬态冷却热应力的影响可知,位移边界条件对冷却热应力影响很大。因此,本文的研究结果可以为功能梯度材料的应用提供参考依据。
[Abstract]:In this paper, the influence of displacement boundary on the transient cooling thermal stress of Ti-6Al-4VZAl 1100 and ZrO2 plate under the first kind of thermal boundary condition is studied by using a two-dimensional functional gradient plate with constant physical properties as a model. On the basis of continuum mechanics and thermoelastic theory, the basic equations of finite element are obtained by using the classical variational method, and the FORTRAN program is written. By using this program, the distribution of transient cooling thermal stress and the influence of displacement boundary on transient cooling thermal stress of 2D-FGM plate with constant physical properties are obtained. When the displacement boundary condition is simply supported and cantilever, the absolute value of the iso-stress line in the plane region will gradually decrease with the increase of cooling time, while when the displacement boundary condition is fixed at both ends and around, the absolute value of the iso-stress line in the plane region will gradually decrease when the displacement boundary condition is simply supported and cantilever, and when the displacement boundary condition is fixed at both ends and around it, With the increase of cooling time, the absolute value of iso-stress line in the plane region will gradually increase. (2) under the same cooling time, the displacement boundary condition is the maximum average stress in the plane area when the surrounding area is fixed. In the whole cooling process, when the displacement boundary condition is fixed around and at both ends, the equal stress line value in the plane region is only positive, while the displacement boundary condition is simply supported and cantilever. There are positive and negative values of equal stress line in plane region. In addition, under different displacement boundary conditions, the variation trend of stress line is similar. By studying the effect of displacement boundary condition on the plane transient cooling thermal stress of 2D-FGM plate, it is known that the displacement boundary condition has great influence on the cooling thermal stress. Therefore, the results of this paper can provide a reference for the application of functionally graded materials.
【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】：TB301;TB34

【参考文献】