反平面剪切下电磁弹性纤维增强复合材料界面相效应研究

STUDY ON INTERPHASE EFFECT OF MAGNETOELECTROELASTIC FIBRE REINFORCED COMPOSITES UNDER ANTIPLANE SHEAR

研究具有界面相电磁弹性纤维增强复合材料的反平面剪切问题,利用复变函数方法,获得了无穷域中带界面相纤维问题在远场力、电、磁多场作用下的闭合解,得到了复合材料内部各区域电磁弹性物理量的精确表达式.利用所得结果,考虑纤维和基体间的界面相效应,研究了界面相厚度及弹性模量对复合材料内部应力场、电场强度和磁场强度的影响,数值结果给出了复合材料电磁弹性物理量随界面相参数变化的规律,为该类复合材料的设计与计算提供了有价值的参考.

The problem of magnetoelectroelastic fibre reinforced composites under antiplane shear is studied. By applying the complex variable method,an analytical solution to the problem of a fibre with an interphase layer in an infinite solid is obtained. The explicit expressions of magnetoelectroelastic fields in each layer of the composite are given. The influences of the thickness and elastic modulus of the interphase on stress field, electric field and magnetic field intensity concentrations in composites are investigated. Numerical results show some interesting variations of the magnetoelectroelastic properties with interphase parameters,which is helpful to calculate and design such magnetoelectroelastic composites.