剪切载荷作用下胶接材料界面动应力强度因子的研究  

DYNAMIC STRESS INTENSITY FACTOR ANALYSIS OF ADHESIVE BONDING MATERIALS INTERFACE UNDER SHEAR LOADING

作　　者：蔡艳红[1] 陈浩然[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《机械强度》2008年第3期450-454,共5页Journal of Mechanical Strength

基　　金：国家重大基础研究计划(973)项目(2006CB601205);国家自然科学基金项目(10672027)资助~~

摘　　要：主要研究剪切载荷作用下,胶接材料中弹性和粘弹性界面间Griffith裂纹尖端动态应力强度因子的时间响应。采用积分变换方法,得到Laplace域内弹性和粘弹性材料的应力和位移的含未知系数的表达式;引入位错密度函数,并通过边界条件和界面连接条件,导出反映裂纹尖端奇异性的奇异积分方程组,采用Gauss积分,并运用Gauss-Jacobi求积公式化奇异积分方程组为代数方程组,利用配点法进行求解;最后经过Laplace逆变换,求得动态应力强度因子的时间响应。得到Ⅱ型动应力强度因子随着粘弹性材料的剪切松弛参量的增加而增大,膨胀松弛参量的增加而减小;随着弹性材料的剪切模量和泊松比的增加而增大。The dynamic stress intensity factor was studied about Griffith crack in the interface between elastic and viscoelastic of adhesive bonding materials under shear loading. By integral transformation of basic equations, the stress and displacement expressions with unknown coefficients of elastic and viscoelastic materials were obtained in Laplace domain respectively, and introducing dislocation density functions, the singular integral equations were got according to the boundary conditions and interface connection conditions, further adopting Gauss integration and Gauss-Jacobi integration formula, the problem was reduced to algebraic equations, then it can be solved with the method of collocation dots in Laplace domain. Finally, the time response of dynamic stress intensity factor was calculated with the inverse Laplace integral transformation. The conclusions are that the mode Ⅱ dynamic stress intensity factor increase with the shear relaxation parameter of viscoelastic materials increasing, with swelling relaxation parameter decreasing, and with shear module and Poisson＇s ratio of elastic materials increasing.

关 键 词：胶接材料 界面裂纹 动态应力强度因子 积分变换 奇异积分方程 

分 类 号：TB33[一般工业技术—材料科学与工程] O346[理学—固体力学]