Longitudinal shear problems of collinear rigid line inclusions in anisotropic materials
Abstract
Longitudinal shear problems of collinear rigid line inclusions or sometimes called hard cracks or inverse cracks in anisotropic materials were dealt with. Firstly, the formulation of the general problem based on the complex variable method and the general solution of the problem were presented. Then, the closed form solutions for three examples of practical importance were given and the stress distribution in the immediate vicinity of the rigid line end was examined. It is concluded that the longitudinal shear stress singularity at the rigid line is of the order r(exp 1/2), and the stress distribution near a rigid line end depends on the configuration and loading as well as the material property. Finally, it is pointed out that the corresponding problem for isotropic materials can be arrived at from the present paper, and some results are in agreement with the previous works.
 Publication:

Applied Mathematics Mechanics English Edition
 Pub Date:
 February 1994
 Bibcode:
 1994ApMaM..15..155J
 Keywords:

 Anisotropic Media;
 Cracks;
 Fracture Mechanics;
 Shear Stress;
 Stress Distribution;
 Collinearity;
 Complex Variables;
 Inclusions;
 Stress Analysis;
 Structural Mechanics