STRESS CONCENTRATION AROUND AN ELLIPTIC PARABOLOIDAL CAVITY FILLED WITH GAS UNDER PRESSURE

Abstract

This analysis, based on three dimensional elasticity, furnishes an exact analytic solution for the stress concentration arising in an infinite elastic body containing an elliptic paraboloidal cavity subjected to hydrostatic gas pressure. The paraboloidal coordinate system presents an unusual opportunity to express the solution by means of elementary functions. The solution relates the maximum stresses to the geometry of the cavity and to Poisson's ratio of the material and shows that in order to reduce the stress concentration one should avoid sharp cavities and prefer materials with low Poisson's ratio. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1962
Accession Number
AD0276469

Entities

People

  • M.a. Sadowsky
  • Y. Weitsman

Tags

DTIC Thesaurus Topics

  • Coordinate Systems
  • Elastic Properties
  • Geometry
  • Materials
  • Physical Properties
  • Stress Concentration
  • Stresses
  • Three Dimensional

Readers

  • Linear Algebra
  • Mechanical Engineering/Mechanics of Materials.
  • Phased Array Antenna Design.