ASYMPTOTIC SOLUTION OF A THICK SPHERICAL SHELL WITH CIRCULAR HOLES,

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0706748

Entities

People

  • Howard N. Franklin
  • Jerome M. Klosner

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Boundary Layer
  • Displacement
  • Layers
  • Lepidoptera
  • Mathematics
  • Perturbations
  • Square Roots
  • Stress Concentration
  • Stresses
  • Thickness

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Mathematics or Statistics
  • Structural Dynamics.