Stresses in a Thick Plate Having a Spherical Cavity Compressed between Rigid Bodies

抄録

In this paper, the three-dimensional solutions of a thick plate having a spherical cavity are given when it is compressed between rigid bodies. The harmonic stress functions approach is used in this analysis. The two harmonic stress functions are obtained by solving the harmonic equations in the region of the thick plate and the infinite one involving the cavity. The boundary conditions on the faces of the thick plate and the surface of the cavity are satisfied by the aid of the relations between Bessel functions and Legendre functions. Further, numerical calculations are carried out for three different radii of the cavity.