Accession Number : AD0614972

Title :   AN APPLICATION OF PERTURBATION THEORY TO THE NON-HOMOGENEOUS ELASTIC THICK-WALLED TUBE,

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s) : Spillers,W. R.

Report Date : JUN 1961

Pagination or Media Count : 7

Abstract : 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.

Descriptors :   (*ELASTIC SHELLS, STRESSES), (*STRESSES, ELASTIC SHELLS), (*PERTURBATION THEORY, ELASTIC SHELLS), DEFORMATION, CYLINDRICAL BODIES, ELASTIC PROPERTIES, DIFFERENTIAL EQUATIONS, POWER SERIES, BOUNDARY VALUE PROBLEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE