双材料弯曲界面裂纹尖端应力分析  

Analysis on Crack Tip Stress Field of Interfacial CracksBi-materials under Pure Bending

作　　者：张娅妮[1] 李俊林[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》2013年第3期226-232,共7页Journal of Taiyuan University of Science and Technology

基　　金：山西省自然科学基金资助项目(2011011021-3);山西高校科技项目(20111093)

摘　　要：探讨受纯弯载荷作用的各向同性和正交异性双材料中心穿透界面裂纹尖端附近的断裂问题,通过复变函数方法和偏微分方程组理论,构造了新的挠度函数,基于边界条件,将复合材料界面裂纹问题转化为一类偏微分方程组的边值问题,在正交异性材料的特征根判别式大于的情形下,得到了受纯弯载荷作用的各向同性和正交异性双材料中心穿透界面裂纹尖端附近的弯矩、扭矩和应力的计算公式。当双材料变成单材料时,可以验证与各向同性单材料的应力奇异指数吻合,并用有限元验证了理论值的正确性。Stress field near the interface crack tip of isotropic and orthotropic bi-materials under pure bending load was studied. By Constructing special deflection functions and using composite complex function method of material fracture,the governing equations of crack tip were transformed into generalized bi-harmonic equations. When the second equation was more than zero, the formula of stress formula contains two singular bending moment, torque and stress were available in which the exponents. Besides, as a special case, the fracture behaviors of the isotropic sin- gle material were considered. Finally,the derived results were checked with ANSYS.

关 键 词：双材料 纯弯载荷 界面裂纹 

分 类 号：O346.1[理学—固体力学] O174.5[理学—力学]