Inelastic Buckling of a Deep Spherical Shell Subject to External Pressure

Abstract

The report is concerned with the investigation of the inelastic buckling of a deep spherical shell subject to a uniformly distributed external pressure. The geometry of the shell is considered to be axisymmetrical while the shell thickness may vary as a function of the polar angle. The edge of the shell is supported elastically. The material of the shell is assumed to satisfy the generalized Ramberg-Osgood stress-strain relations and a power law of steady creep. The analysis is based on Sanders' nonlinear theory of thin shells expressed in an incremental form and Hill's theory of inelastic bifurcation. Computations are carried out by a numerical iterative procedure associated with a finite difference method. Solutions are sought for both the axisymmetrical inelastic buckling and the asymmetrical bifurcation.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1973
Accession Number
AD0764085

Entities

People

  • G. Funk
  • N. C. Huang

Organizations

  • University of Notre Dame

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Buckling
  • Computations
  • Constitutive Equations
  • Creep
  • Difference Equations
  • Displacement
  • Engineering
  • Equations
  • Geometry
  • Mechanical Engineering
  • Mechanics
  • Membranes
  • Modulus Of Elasticity
  • Strain Rate
  • Stress Strain Relations
  • Stresses
  • Thickness

Readers

  • Structural Dynamics.