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A proposal of mathematical analysis method for a coupled hygrothermoelastic problem in nonhomogeneous bodies and its application to material tailoring of functionally graded material with a function of humidity regulation

非均质体耦合湿热弹性问题数学分析方法的提出及其在具有湿度调节功能的功能梯度材料剪裁中的应用

基本信息

批准号：
08650084
负责人：
SUGANO Yoshihiro
金额：
$ 1.41万
依托单位：
lwate University.
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1997
项目状态：
已结题

项目摘要

The purpose of this research is to derive analytical solutions for the coupled diffusion problems of temperature and humidity and the associated hygrothermoelastic problem in nonhomogeneous plate and nonhomogeneous hollow circular cylinder under hygrothermal environment and is to apply these analytical solutions to material tailoring of functionally graded material with a function of humidity regulation.The coupling effect (Dufour effect) of change in humidity on diffusion of heat is much smaller than the coupling effect (Soret effect) of change in temperature on diffusion of humidity. So an analytical solution is presented to the uncoupled transient temperature field in the functionally graded material plate which has arbitrary nonhomogeneities of thermal properties and temperature variation only through the thickness. The transient temperature solution is determined by solving the nonhomogeneous heat conduction problem in a multilayred plate with piecewise-linear nonhomogeneous thermal conductivity, and different, homogeneous specific heat and density in each layr. The uncoupled humidity field in the functionally graded material plate has the same diffusion equation as the temperature field.As Soret effect is the effect of temperature change with time on the diffusion of humidity, dynamic thermal stress problem in a functionally graded material plate is solved by the characteristic method for the case of impulsive heating with large temperature change with time.Furthermore, an analytical solution is presented for a transient temperature and the associated thermal stress due to an abrupt heating on the plate surface in a functionally graded material plate which is composed of n plates with dissimilar piecewise-linear nonhomogeneities. The optimization of material composition taking the minimization of tensile thermal stress into account is carried out for functionally graded material plate composed of PSZ and SUS304 by using genetic algorithm.

本研究的目的是导出湿热环境下非均质板和非均质空心圆柱体中温度和湿度耦合扩散问题以及相关湿热弹性问题的解析解，并将这些解析解应用于具有湿度调节功能的功能梯度材料的材料剪裁。湿度变化对扩散的耦合效应（杜福尔效应）热量远小于温度变化对湿度扩散的耦合效应（索雷效应）。因此，提出了功能梯度材料板中非耦合瞬态温度场的解析解，该材料板具有任意的热性能非均匀性和仅在厚度上的温度变化。瞬态温度解是通过求解多层板中的非均匀热传导问题来确定的，该多层板具有分段线性非均匀导热性，并且每层具有不同的均匀比热和密度。功能梯度材料板中的非耦合湿度场与温度场具有相同的扩散方程。由于Soret效应是温度随时间变化对湿度扩散的影响，因此针对温度随时间变化较大的脉冲加热情况，采用特征法求解功能梯度材料板中的动态热应力问题。此外，还给出了瞬态温度和由于突变引起的相关热应力的解析解。在功能梯度材料板的板表面上加热，该材料板由 n 个具有不同分段线性非均匀性的板组成。利用遗传算法对PSZ和SUS304组成的功能梯度材料板进行考虑拉伸热应力最小化的材料成分优化。