含双周期不等长刚性线夹杂电磁弹性材料的有效模量  

Effective magnetoelectroelastic modulus of magnetoelectroelastic materials containing a doubly periodic unequal rigid line inclusions

作　　者：徐耀玲[1] 肖俊华[1] 王锋[1] 

机构地区：[1]燕山大学河北省重型装备与大型结构力学可靠性重点实验室,河北秦皇岛066004

出　　处：《燕山大学学报》2014年第1期84-88,共5页Journal of Yanshan University

基　　金：河北省自然科学基金资助项目(A2013203213,A2013203103)

摘　　要：研究含双周期分布不等长刚性线夹杂的无限大电磁弹性材料在远场反平面机械载荷和面内电磁载荷作用下的电磁弹性响应。由刚性线夹杂分布的周期性,取基本胞元为研究对象,利用胞元边界条件并结合椭圆函数理论和保角变换技术,获得了该问题电磁弹性场的精确解。由该精确解和平均场理论预测了材料的有效电磁弹性模量,数值结果显示了该类非均匀材料的有效电磁弹性模量随刚性线夹杂尺寸和分布的变化规律。The magnetoelectroelastic response of an infinite magnetoelectroelastic materials containing a doubly periodic array of unequal rigid lines under antiplane mechanical load and inplane magnetoelectric load is studied. According to the periodicity and symmetry of the problem, the boundary conditions of a representative is investigated. By using of the theory of elliptic function combined with the technique of conformal mapping, the exact expression of magnetoelectroelastic field in materials is obtained. Consequently, magnetoelectroelastic effective modulus is studied by using the average field theorem. Numerical results demonstrate the variations of the magnetoelectroelastic effective modulus of such heterogeneous materials with rigid line size and distribution parameters.

关 键 词：电磁弹性 周期排列 刚性线 有效模量 

分 类 号：TB332[一般工业技术—材料科学与工程] O343.7[理学—固体力学]