Accession Number : AD0706748

Title :   ASYMPTOTIC SOLUTION OF A THICK SPHERICAL SHELL WITH CIRCULAR HOLES,

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Franklin,Howard N. ; Klosner,Jerome M.

Report Date : APR 1970

Pagination or Media Count : 75

Abstract : A singular perturbation analysis is developed for a spherical shell, containing two diametrically opposite holes, subjected to an axisymmetric external pressure. The asymptotic formulation decomposes the shell into three subregions, an interior region, a wide boundary layer, and a narrow boundary layer. The subregional solutions are matched and a uniformly valid solution is obtained. Stress concentration factors, radial normal and shearing stresses, and displacements are presented for a hole subtended by a half angle of one-tenth of a radian. It is shown that the narrow boundary layer region is of the order of the shell thickness, while the wide boundary layer effects may be neglected at distances greater than twice the square root of Rh from the hole. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), STRESSES), SPHERES, PERTURBATION THEORY, BOUNDARY LAYER, BENDING, LOADS(FORCES), EQUILIBRIUM(PHYSIOLOGY), ELASTIC PROPERTIES, EQUATIONS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE