ANALYSIS OF AN ANISOTROPIC NONHOMOGENEOUS HOLLOW CYLINDER,
COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
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Some elementary solutions of the stress and strain problem of anisotropic and nonhomogeneous hollow cylinders are reviewed. The assumptions are made that the material is linearly elastic and the strains infinitesimal. Moreover, all problems dealt with in this note are considered as plane strain problems with axial symmetry. Problems of this type are encountered in the design and analysis of solid propellant grains with circumferential reinforcement of arbitrary nature and distribution along the radius, subject to short-time internal pressure for which the assumption of elasticity is tolerable as a first approximation.