ASYMPTOTIC SOLUTION OF A THICK SPHERICAL SHELL WITH CIRCULAR HOLES

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 the case of a uniform external load acting on a spherical shell containing two diametrically opposite holes, each of which is 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 2 x sq rt (Rh) from the hole. (R is the shell radius, and h is the shell thickness.)

• Corporate Authors:

  American Institute of Aeronautics and Astronautics

  1290 Avenue of the Americas
  New York, NY  United States  10019
• Authors:
  • Franklin, H N
  • Klosner, J M
• Publication Date: 1972-7

Media Info

• Features: References;
• Pagination: p. 90-100
• Serial:
  • Journal of Hydronautics
  • Volume: 6
  • Issue Number: 2
  • Publisher: American Institute of Aeronautics and Astronautics

Subject/Index Terms

• TRT Terms: Perturbations; Shells (Structural forms); Stresses
• Uncontrolled Terms: Stress concentration
• Old TRIS Terms: Perturbation problems; Shell stresses; Shell theory; Spherical shells
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00043582
• Record Type: Publication
• Source Agency: American Institute of Aeronautics and Astronautics
• Files: TRIS
• Created Date: Apr 13 1973 12:00AM