The eccentric lamé problem: An equivalent perturbed domain solution

Abstract

Hollow elastic cylinders containing moderately eccentric holes subjected to internal pressures are analyzed by means of a perturbation method. Using the eccentricity as the perturbation parameter, results are obtained by means of a sequence of directly derivable solutions for an equivalent perturbed concentric domain subjected to appropriate boundary tractions. The latter may be considered as corrective tractions which are required to satisfy the boundary conditions of the actual domain. Expressions for the stress field are established. Numerical results for the effect of eccentricity are presented for the stresses at the critical section and stress amplification factors are obtained. From a comparison of the results for the maximum stress components with an exact solution previously derived, it is seen that the method of Equivalent Perturbed Domains leads to accurate solutions for small to moderate eccentricities.