AN APPLICATION OF PERTURBATION THEORY TO THE NON-HOMOGENEOUS ELASTIC THICK-WALLED TUBE,
COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
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An application is presented of perturbation theory to the determination of stresses and displacements in an axially symmetric, non-homogeneous thick-walled tube inside a thin shell. There is no criteria for the order of the perturbation, but the solution is asymptotic in the sense that for zero perturbation it is exact. The usefullness of the method in the past has been in the fact that it gives accurate results for rather large perturbation. The accuracy of the results obtained here is discussed by comparing them to rigorous known solutions.