基体中螺位错偶极子与含共焦钝裂纹椭圆夹杂的干涉效应  

Interaction between screw dipole in matrix and confocal blunt crack in elliptical inhomogeneity

作　　者：余敏[1,2] 方棋洪[2] 刘又文[2] 

机构地区：[1]中南林业科技大学土木工程与力学学院,湖南长沙410004 [2]湖南大学机械与运载工程学院,湖南长沙410082

出　　处：《江苏大学学报（自然科学版）》2014年第3期354-358,372,共6页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11172094;11172095)

摘　　要：将复变函数的分区全纯理论、柯西型积分、应力函数奇性主部分析方法与Riemann边值问题相结合,研究了基体中的螺型位错偶极子与含共焦椭圆钝裂纹的椭圆夹杂的弹性干涉问题,求得了基体和夹杂区域复势函数的级数形式精确解.并由此推导出了基体和夹杂区域的应力场、椭圆钝裂纹右端点的应力强度因子以及作用在螺型位错偶极子中心的位错像力和像力偶矩的公式,同时分析了螺位错偶极子倾角、夹杂和椭圆钝裂纹的尺寸以及材料常数对它们的影响规律.结果表明:位错力和应力强度因子随螺位错偶极子倾角作周期变化,且受相对剪切模量的影响很大.Combining sectional holomorphic function theory, Cauchy singular integral, singularity analy- sis of complex functions and Riemann boundary problem, the interaction between screw dipole inside matrix and eonfocal blunt crack in elastic elliptical inhomogeneity was investigated to obtain the complex function of matrix and inhomogeneity in series form. The singular stress field of matrix, the stress intensity factor of blunt crack tip and the image force and image torque acting on the center of screw dipole were deduced. The influences of the dip angle, the size of inhomogeneity and blunt crack, the material parameters were also analyzed. The results show that the image force and the stress intensity factor change periodically as the dip angle, and are significantly influenced by the relative shear modulus.

关 键 词：螺型位错偶极子 椭圆夹杂 钝裂纹 应力强度因子 位错像力 像力偶矩 

分 类 号：O33[理学—一般力学与力学基础]