正交异性双材料纯扭界面裂纹尖端场研究  

Study of Interface Crack Tip Field of Orthotropic Bimaterials under Pure Twisting

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作  者:张珺[1,2] 李俊林[1] 

机构地区:[1]太原科技大学应用科学学院,太原030024 [2]太原大学教育学院,太原030001

出  处:《太原科技大学学报》2010年第6期506-510,共5页Journal of Taiyuan University of Science and Technology

摘  要:通过复合材料断裂复变方法,构造特殊挠度函数,研究了受纯扭曲载荷作用的正交异性双材料界面裂纹尖端附近的断裂问题。在特征方程组的判别式都大于零的情形下,根据边界条件得到了两个八元齐次线性方程组,推出了含两个实奇异指数的应力函数。根据载荷条件,确定了自由未知量和待定系数,得到了界面裂纹尖端附近的弯矩、扭矩的计算公式。The fracture problems near interface crack tip of orthotropic bimaterials under pure twisting are studied by using the complex function method of composite material fracture and constructing special deflection functions. Under the above conditions, the discriminations of secular equations based on the boundary conditions are more than zero, a system of homogeneous linear equations was found, and the stress functions containing two stress singularity exponents were derived. According to the load conditions, the free unknown quantity and undetermined coefficients were found, and the formulae of bending moment, twisting moment were obtained.

关 键 词:正交异性 纯扭曲载荷 界面裂纹 

分 类 号:O346.1[理学—固体力学] O174.5[理学—力学]

 

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