Analytical expressions for the stresses near a circular hole in a transversely isotropic shallow spherical shell under uniform pressure are derived. The form of the solution depends on the range of change in the compliance to transverse shear. The influence of the relative radius of the hole and the compliance to transverse shear on the stress concentration is analyzed.Issues of stress concentration near holes in transtropic shallow spherical shells made of composite materials and subjected to internal pressure are addressed in [1][2][3][4][5][6][9][10][11][12]. Studies aimed at evaluating the influence of transverse shear stiffness on the stress state of shells with holes are reviewed in [2,11]. In [10,12,13], the effect of shear stiffness in composite shells is analyzed numerically.A Problem Formulation for thin elastic shells compliant to transverse shear was first proposed in [4, 5] based on differential equations of a refined Timoshenko theory that allows for the low transverse shear stiffness of the material [5],

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