双周期裂纹引起的电磁弹性材料的损伤

MAGNETOELECTROELASTIC DAMAGE DUE TO DOUBLY PERIODIC CRACKS

研究双周期裂纹引起的电磁弹性材料的损伤。取基本胞元为研究对象,由胞元边界条件并结合椭圆函数理论和保角变换技术,获得远场反平面机械载荷和面内电磁载荷作用下,含双周期分布不等长裂纹的无限大电磁弹性介质电磁弹性场的精确解。利用平均场理论预测材料的电磁弹性损伤系数,分析损伤系数随裂纹尺寸和分布的变化。数值结果表明,裂纹密度的增加导致材料有效电磁弹性模量降低,加大了材料电磁弹性损伤程度。

Magnetoelectroelastic damage due to doubly periodic cracks was studied. An infinite magnetoelectroelastic solid containing a doubly periodic array of unequal cracks under antiplane mechanical load and inplane magnetoelectric load was discussed and the boundary conditions of a representative unit were investigated. By using of the theory of elliptic function combined with the technique of conformal mapping, the exact expression of electromagnetoelastic field in medium was obtained. Consequently, maguetoeledtroelastic damage coefficient was studied by using the average field theorem, the variations of the magnetoeledtroelastic damage coefficient of such heterogeneous materials with crack size and distribution were analyzed. Numerical results show that the increase of crack density decreases magnetoeledtroelastic effective modulus and enlarge magnetoelectroelastic damage.