垂直于双材料非完美界面Ⅱ型裂纹的断裂分析  

Fracture Analysis of a Mode-Ⅱ Crack Perpendicular to an Imperfect Bimaterial Interface

作　　者：钟献词[1,2] 张克实[2] 

机构地区：[1]广西大学数学与信息科学学院,南宁530004 [2]广西大学工程防灾与结构安全教育部重点实验室,南宁530004

出　　处：《应用数学和力学》2012年第3期342-352,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(90815001);广西自然科学基金资助项目(2011GXNSFA018132);广西大学科研基金对本文的资助(XBZ111497)

摘　　要：研究了垂直于双材料非完美界面的Ⅱ型裂纹问题,采用线性弹簧模型模拟非完美界面.然后用Fourier积分变换方法把边值问题转化为求解具有Cauchy核的奇异积分方程,获得了裂纹两端应力强度因子的数值解.详细研究了问题的几种特例,并用数值实例分析了界面的非完美性对应力强度因子的影响.结果表明应力强度因子与界面参量有关并在完美界面和分离界面所对应的结果中变化.The problem of a mode-II crack close to and perpendicular to an imperfect interface of two bonded dissimilar materials was investigated.The imperfect interface was modelled by a linear spring with vanishing thickness.The Fourier transform was applied to solve the boundary-value problem,then to derive a singular integral equation with Cauchy kernel.The stress intensity factors near the left and right crack tips were evaluated by numerically solving the resulted equation.Several special cases of the mode-II crack problem with an imperfect interface were studied in detail.The effects of the interfacial imperfection on the stress intensity factors for a bimaterial system of aluminum and steel were shown graphically.The obtained observations reveal that the stress intensity factors are dependent on the interface parameters,and varying between those with a fully debonded interface and those with a perfect interface.

关 键 词：非完美界面 Ⅱ型裂纹 弹簧模型 FOURIER变换 应力强度因子 

分 类 号：O346[理学—固体力学]