Inelastic Buckling of Shallow Spherical Shells under External Pressure.

Abstract

In this paper the inelastic effect on the buckling load of a clamped shallow spherical shell subjected to an external pressure is investigated. A variational principle derived from a set of rate equilibrium equations and expressed in terms of Lagrangian variables is used to determine the critical pressure. This pressure is determined by a step-by-step numerical process based on a Rayleigh-Ritz technique. The spherical shell is idealized as a structure composed of four thin load-carrying layers of equal thickness and made of a work hardening material. The numerical results of the present analysis compare favorably with those of available experimental work. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0727619

Entities

People

  • B. Sureshwara
  • L. H. N. Lee
  • T. Ariman

Organizations

  • University of Notre Dame

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Boundary Value Problems
  • Buckling
  • Differential Equations
  • Equations
  • Hardening
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Thickness
  • Variational Principles

Fields of Study

  • Engineering

Readers

  • Structural Dynamics.