中文摘要：

研究了反平面状态下压电-压磁夹层结构的圣维南端部效应的衰减特征.夹层结构端部的力-电-磁载荷是自平衡的;外层的边界是应力自由的,但承受四种不同的电磁边界条件,即电学短路/磁学短路、电学短路/磁学开路、电学开路/磁学开路和电学开路/磁学短路.基于磁电弹全耦合的控制方程,推导了问题的精确解和关于衰减率的特征方程.利用得到的特征方程,计算了压电-压磁-压电和压磁-压电-压磁两种夹层结构的衰减率,结果表明电磁边界条件、压电层的材料性能和体积分数对衰减特征有显著的影响.作为特例,分析了压电-弹性-压电夹层结构的衰减特征.

英文摘要：

The decay of Saint-Venant end effect for the anti-plane deformation of piezoelectric-piezomagnetic sandwich structures is studied theoretically.The end of the sandwich structure is subjected to a set of self-equilibrated magneto-electro-elastic loads.The upper and lower surfaces of the sandwich structure are assumed to be traction-free and subjected to four kinds of electromagnetic boundary conditions.These electromagnetic boundary conditions are electrically short /magnetically short,electrically short/magnetically open,electrically open/ magnetically open as well as electrically open/magnetically short.Based on the fully coupled controlling differential equations for magneto-electro-elastic fields,the exact closed-form solutions of magneto-electro-elastic fields and characteristic equations for decay rate are derived.By using the obtained characteristic equations,the decay rates are calculated for piezoelectric-piezomangnetic-piezoelectric and piezomangnetic-piezoelectric-piezomagnetic sandwich structures.The results show that the electromagnetic boundary conditions,material properties of piezoelectric layers and volume friction have significant influence on the decay rate.As a special example,the decay rate of piezoelectric-elastic-piezoelectric sandwich structure is also calculated and analyzed.