發(fā)布時(shí)間：2018-05-20 12:16

  本文選題：二維功能梯度材料 + 有限元法��； 參考：《河北工程大學(xué)》2015年碩士論文

【摘要】：本文以由Ti-6Al-4V、Al 1100和ZrO2所組成的二維常物性功能梯度板為研究模型,研究了在第一類熱邊界條件下位移邊界對(duì)該板瞬態(tài)冷卻熱應(yīng)力的影響。文中以連續(xù)介質(zhì)力學(xué)以及熱彈性理論為基礎(chǔ),應(yīng)用經(jīng)典變分法,得出有限元的基本方程,并編寫FORTRAN語言計(jì)算程序。應(yīng)用此程序進(jìn)行計(jì)算,獲得了在常物性2D-FGM板的瞬態(tài)冷卻熱應(yīng)力的分布規(guī)律以及位移邊界對(duì)瞬態(tài)冷卻熱應(yīng)力的影響規(guī)律。分析計(jì)算結(jié)果可得以下結(jié)論:(1)當(dāng)位移邊界條件為簡支和懸臂時(shí),隨著冷卻時(shí)間的增加,平面區(qū)域內(nèi)等應(yīng)力線的絕對(duì)值會(huì)逐漸減小;而當(dāng)位移邊界條件為兩端固定和四周固定時(shí),隨著冷卻時(shí)間的增加,平面區(qū)域內(nèi)等應(yīng)力線的絕對(duì)值會(huì)逐漸增大。(2)在相同的冷卻時(shí)間下,位移邊界條件為四周固定時(shí)平面區(qū)域內(nèi)的平均應(yīng)力最大,簡支條件時(shí)平面區(qū)域內(nèi)的平均應(yīng)力最小。(3)在整個(gè)冷卻過程中,位移邊界條件為四周固定和兩端固定時(shí),平面區(qū)域內(nèi)等應(yīng)力線值只有正值;而位移邊界條件為簡支和懸臂時(shí),平面區(qū)域內(nèi)等應(yīng)力線值有正值和負(fù)值。此外,不同位移邊界條件下,應(yīng)力線的變化趨勢(shì)也比較接近。通過研究位移邊界條件對(duì)2D-FGM板平面瞬態(tài)冷卻熱應(yīng)力的影響可知,位移邊界條件對(duì)冷卻熱應(yīng)力影響很大。因此,本文的研究結(jié)果可以為功能梯度材料的應(yīng)用提供參考依據(jù)。
[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.
【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)】：TB301;TB34

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本文編號(hào)：1914585