复变方法在双材料界面裂纹断裂分析中的应用研究

Application of Complex Method in the Fracture Problem of Bimaterial

研究了zj平面上解析函数及广义重调和算子,探索了复变函数方法在复合材料界面断裂力学上的应用,将正交异性双材料弯曲断裂问题化为一类广义重调和方程组边值问题,推出了弯曲问题半无限界面裂纹尖端附近的弯矩、扭矩、应力的计算公式.

The problem of analytic function and generalized bi-harmonic operator on zj plane are studied;the application of the complex method interfacial fracture mechanics is explored.The problem of fracture is transformed into a kind boundary value problem of generalized bi-harmonic partial differential equations,the formulae for bending moment,torque,and stress of bending problems near semi-infinite interface the crack tip are derived.