Strength of thick-walled permeable cylinders

Abstract

The problem of a thick-walled porous cylinder subjected to internal, external and axial pressures is investigated. A general solution, within the elastic range, is derived, with due consideration to the effect of injection pressure on the viscosity of the permeating fluid. It is established that, under the same dimensional and boundary conditions, the tangential stress induced in the cylinder would assume its highest values for a porous cylinder with a permeating fluid of constant viscosity, and its lowest values for an impermeable cylinder; the difference in stresses developed in permeable and impermeable cylinders could be quite considerable.