Stresses in a Circular Cylinder Having a Spherical Inclusion Under Transverse Bending

抄録

This paper gives a three-dimensional solution for the stresses and displacements around an elastic spherical inclusion perfectly bonded to an infinite circular cylinder, when the cylinder is under transverse bending. The analysis is based upon Dougall's stress function approach referred to the cylindrical and spherical harmonics. The boundary conditions on the surface of the cylinder and the contact surface are well satisfied by using the relations between the cylindrical and spherical functions. Numerical results are given for various rations of the elastic moduli of the inclusion and the cylinder and four different radii of the inclusion.