电磁复合材料中圆弧形界面导电刚性线尖端应力强度研究

STRESS INTENSITY FACTOR OF THE CIRCULAR-ARC INTERFACIAL RIGID LINES TIP IN MAGNETOELECTROELASTIC SOLIDS

研究无穷远处反平面力载荷和平面电磁载荷作用下,电磁智能材料中圆弧形界面导电刚性线尖端应力强度问题。运用复变函数方法,得到该问题的一般解;并得到界面上只有一条刚性线时的封闭形式解,求解基体及夹杂区域复势函数、刚性线尖端的应力、电位移和磁感应强度因子。对于压电基体和压磁夹杂情况下,详细讨论刚性线长度以及无穷远处载荷对刚性线尖端应力强度因子的影响规律。当同时加载力电磁载荷时,刚性线尖端的应力、电位移和磁感应强度因子依赖于复合材料的有效材料常数。

Under remote anti-plane circular-are interfacial rigid lines tip in magnetoelectroelastic materials is investigated. By using the complex variable method, the general solutions to the problem are presented. The closed-form expressions of the complex potentials in both the inhomogeneity and the matrix are derived for a single circular-arc interfacial rigid line. The intensity factors of stress, electric displacement and magnetic induction are also provided explicitly. For the case of piezoelectric matrix and piezomagnetic inclusion, the influence of rigid line geometry and the magnitudes of mechanical and electromagnetic loadings on the intensity factors are discussed in detail. In the ease where anti-plane strain, in-plane electric and magnetic fields are applied simultaneously, the intensity factors only depend on the effective magneto-electro-elastic material constants.