正交异性双材料Ⅱ型界面裂纹尖端的应力场  被引量:2

Stress field near crack tip of mode-Ⅱ interface of orthotropic heterogeneous double-material

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作  者:张雪霞[1] 崔小朝[1] 杨维阳[1] 赵文彬[1] 

机构地区:[1]太原科技大学应用科学学院,山西太原030024

出  处:《兰州理工大学学报》2011年第1期168-171,共4页Journal of Lanzhou University of Technology

基  金:教育部科学技术研究重点项目(208022)

摘  要:基于复变函数方法给出含两个实应力奇异指数的应力函数,通过满足边界条件,得到两个八元非齐次线性方程组.求解该方程组,确定两个实应力奇异指数和全部系数,得到应力函数的表示式.根据极限唯一性定理推出当特征方程组判别式异号时每种材料裂纹尖端的应力强度因子、应力场的理论解.结果表明,在双材料工程参数满足适当条件下,正交异性双材料Ⅱ型界面裂纹尖端附近应力有混合型断裂特征,没有振荡奇异性.On the basis of complex function method,a stress function containing two real stress singular exponents was given.By means of fulfilling the boundary condition,two systems of non-homogeneous linear equations in 8 unknowns were obtained.By solving these equation systems,the two real stress singular exponents and all coefficients were determined,so that the expression of the stress function was obtained.According to the uniqueness theorem of limit,the theoretical solutions of stress intensity factor and stress field near the crack tip of each material were derived in the case of dissimilar sign at the discriminant of the characteristic equations.It was shown by the result that the stress near the crack tip of mode-Ⅱ interface of orthotropic heterogeneous double-material exhibited the feature of mixed fracture without oscillatory singularity when the double-material engineering parameters met appropriate conditions.

关 键 词:界面裂纹 应力强度因子 双材料 正交异性 复变函数方法 

分 类 号:O346.3[理学—固体力学] O174.5[理学—力学]

 

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