STRESSES AND STRAINS IN MULTI-LAYER ANISOTROPIC HOLLOW CYLINDERS.
Technical documentary rept.,
AEROSPACE CORP EL SEGUNDO CA
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Equations for elastic stresses and strains due to uniform internal and external pressures and an arbitrary radial temperature gradient are derived for a long, hollow, anisotropic, N-layer concentric circular cylinder in generalized plane strain. The anisotropic cylinder is made of materials having three mutually orthogonal planes of elastic symmetry, and the principal axes of anisotropy coincide with the principal axes of the cylinder. The derivation considers the composite cylinder to be made of materials that are layer-wise elastic, homogeneous, and anisotropic. The equations are written in such forms that they are readily applicable, with minor modifications, to the isotropic and monotropic cylinders. Two end conditions are treated the cylinder with free ends, and the cylinder with a prescribed end force. Emphasis is placed on the analysis of practical configurations in which cylinders of anisotropic, monotropic, and isotropic materials are bonded concentrically in any order to one another. The important effects of anisotropy together with the errors that can result by assuming isotropy for an anisotropic material are discussed. The requirements on physical properties of materials for the purpose of assessing structural integrity of a given design are also delineated. Author