The plane problem of an elliptically reinforced circular hole in an anisotropic plate or laminate

Within the scope of linear elasticity, the in-plane problem of an anisotrop ic plate or laminate with a circular hole and an elliptical hole reinforcem ent is considered. Arbitrary anisotropic elastic stiffnesses are allowed fo r the base plate and the reinforcement material, and for the reinforcement there is no restriction for its elliptical shape and size. The analysis of the problem is performed by the complex potential method with appropriately chosen series representations inside and outside the reinforcement region. The derived closed-form solution provides all resultant in-plane stresses and deformations within and around the hole reinforcement with little compu tational effort and at high accuracy. The determined solution allows a prop er and effective assessment of hole reinforcements for many technical appli cations.