ABD A. Estimations of an influence of the shear rigidity on the strains in transversely isotropic shells weakened by holes.

The analytical representations of solutions of the improved theory of transversely isotropic shallow shells weakened by a hole are constructed with usage of the perturbation technique of D.Withun and with usage of the known analytical solutions of a transversely isotropic spherical shell. On the basis of the analytical representations of solutions, the perturbation technique is spread on transversely isotropic shallow shells weakened by a circular hole. The boundary value problem for a transversely isotropic spherical shallow shell is to be solved in each of approximations. By means of applying a perturbation technique, the estimations of influence of the suppleness parameter to the transverse shear deformations are obtained. The stress concentration near a circular hole in a transversely isotropic shallow shell of non-negative curvature is explored in cases of torsion and uniaxial tension.