正交异性材料双层板弯曲断裂分析  

Bending Fracture Analysis of Orthotropic Material Double Plates

作　　者：韩贵花 张雪霞[1] 赵文彬[1] 王慧[1] 

机构地区：[1]太原科技大学应用科学学院,太原030024

出　　处：《太原科技大学学报》2018年第1期76-84,共9页Journal of Taiyuan University of Science and Technology

基　　金：国家自然基金(51574171);太原科技大学研究生科技创新项目(20151037)

摘　　要：研究含界面裂纹正交异性复合材料双层板在弯曲载荷作用下的裂纹尖端场问题。利用复变函数方法,引入含待定实系数的挠度函数,利用待定系数法,建立满足边界条件的非齐次线性方程组。求解得到满足控制方程和边界条件的挠度函数,推导出特征方程判别式均大于零时受弯曲载荷作用的正交异性复合材料双层板界面裂纹尖端的应力、应力强度因子、弯矩和扭矩的解析表达式。最后通过算例分析了极角取定值时,弯矩随极径改变的变化曲线以及极径取定值时,弯矩的角分布曲线。The crack tip field problems on the interface crack of orthotropic composite material double-layer plates under the bending load were studied. With the help of the complex function method,introducing the deflection function containing undetermined real coefficients,based on the boundary conditions and undetermined coefficients method,a non-homogeneous linear equations were established. The deflection function of satisfying the boundary conditions were got by solving equations. When the characteristic root discriminant were greater than zero,we can deduc the orthotropic composite materials interface crack tip stress field,the stress intensity factor,the analytic expression of bending moment and torque. Finally,through analyzing by an example,the polar angle is fixed bending moment along with the change of pole diameter change curve and the distribution curve of angle of the bending moment fixing polar diameter.

关 键 词：正交异性材料双层板 界面裂纹 复变函数 弯矩 

分 类 号：O157.5[理学—数学]