小周期结构磁-力-电耦合问题的高阶双尺度渐近分析

High-order two-scale asymptotic analysis of magneto-electro-elastic coupling problems of small periodic structures

磁-力-电材料在工业和工程领域有广泛的应用,文章通过高阶双尺度方法分析了磁-力-电耦合问题的高阶双尺度渐近展开式,得到了问题的均匀化常数与均匀化方程,并构造了其二阶双尺度近似解,最后利用双尺度方法形式地分析了近似解的渐近误差估计。

Megneto-electro-elastic materials has been widely used in engineering ang industrial fields.Using two-scale method,the higher order two-scale asymptotic expansions for magneto-electro-elastic coupling problem are analyzed firstly in this paper,then the homogenization constants and equation corresponding to the problem are obtained.Moreover,the two-order two-scale approximate solutions for magneto-electro-elastic problem are constructed,and the asymptotic error estimations are analyzed by means of two-scale method lastly.