双材料纯扭界面裂纹断裂研究

Study of Interface Crack for Bimaterials under Pure Twisting

对弯曲载荷作用的正交异性双材料界面裂纹尖端附近的应力场进行探讨.通过选取特别的中面挠度函数,利用复合材料断裂复变方法对受弯曲载荷作用的正交异性双材料界面断裂问题进行了研究.通过求解一类广义重调和方程组边值问题,当特征方程组的判别式Δ1>0和Δ2<0时推出了受纯扭曲载荷下界面裂纹尖端的弯矩、扭矩、应力的计算公式.

The stress field of interface crack tips of orthotropic composite plates under the acts of bending is analyzed. By constructing special deflection functions in middle plane, the issue of the interface crack of orthotropic composite material under bending load is analyzed by applying the composite complex function method of material fracture. By solving the boundary conditions of generalized bi-harmonic equations, the formula of bending moment, torque and stress can be deduced under pure twisting in the condition that the discriminations of secular equations are △1〉0 and △2〈0.