Interaction between screw dipole in matrix and confocal blunt
crack in elliptical inhomogeneity
1.College of Civil Engineering and Mechanics, Central South University of Forestry and Technology, Changsha, Hunan 410004, China; 2.College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, China
Abstract：Combining sectional holomorphic function theory, Cauchy singular integral, singularity analysis of complex functions and Riemann boundary problem, the interaction between screw dipole inside matrix and confocal 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.
2014, Vol. 35 
