Bending of an anisotropic plate with an elliptical rigid inclusion

摘要

The problem of bending of a plate with an elliptical rigid inclusion loaded by remote uniformly distributed stresses is considered. The solution of the problem is reduced to finding two analytical functions /spl phi//sub v/(Z/sub v/) of the generalized complex coordinates Z/sub v/ = x + /spl mu//sub v/y. The functions /spl phi//sub v/(Z/sub v/ ) are determined by conformal mapping of the exterior of an elliptic rigid inclusion onto the exterior of a unit circle and the procedure proposed by Grilitskii. The effect of anisotropy of the material on the stress state of the plate is studied. The solution of the problem of bending of a plate with a rectilinear crack is obtained by setting the minor axis of the ellipse equal to zero.