Stresses in a Circular Cylinder Having an Infinite Row of Spherical Cavities Under Tension

A problem of finding the stresses in an infinite circular cylinder having an infinite row of spherical cavities of the same size under axial tension is studied theoretically. Maximum stresses in the cylinder are calculated by a perturbation method, in each case the radius of the cavity and the distance between the centers of the neighboring cavities being varied. From consideration of the results obtained, some conclusions are made regarding the effects of the surface and the cavities on the stresses.