热弹性方程的均匀化

在微观是非均匀介质的数学模型中,许多局部性质上形如a（ε-1 x）的函数表示,其中ε是极小的参数.计算这种微观非均匀介质的性质是十分困难的,原因在于这类介质对应的偏微分方程的系数是剧烈振荡的.因此运用渐进分析来处理这类问题就变得很必要了,这也直接导致了均匀化的概念.该文用渐进展开对系数剧烈震荡的热弹性方程进行均匀化.

Homogenization of Thermoelasticity Equations

In mathematical model with inhomogeneous media at micro level,many local qualities are represented by functions with coefficient like a（ε-1x）,where ε is a very small parameter.It is very difficult to compute the quality of such media,for the coefficients of the relevant partial equations can vibrate violently.So it is quite necessary to solve these problems with asymptotic expansion,which directly leads to the conception of homogenization.In this paper,we homogenize thermoelasticity equations with highly oscillating coefficients,using asymptotic expansion.