一类小周期结构热力耦合问题的双尺度渐近分析

摘要

运用双尺度渐近展开方法对一类小周期结构热力耦合的偏微分方程组给出了双尺度渐近展开，通过构造适当的单胞函数，得到了对应问题的均匀化方程，分析了均匀化方程解的唯一存在性。%By utilizing two-scale asymptotic expansion approach,the two-scale asymptotic expansions are as-signed to one class of differential equations on thermo-elasticity.Then,the homogenization equation and two-scale asymptotic expansions for one general class of thermoelastic coupling problem are obtained.