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

作　　者：刘宇铭 冯永平[1] LIU Yu-ming;FENG Yong-ping(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2023年第3期83-89,共7页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11671304)。

摘　　要：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.

关 键 词：磁-力-电耦合问题 双尺度方法 渐近误差估计 均匀化方法 

分 类 号：O241.82[理学—计算数学] O242.1[理学—数学]