Accession Number : AD0276469

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

Corporate Author : WATERVLIET ARSENAL N Y

Personal Author(s) : SADOWSKY,M.A. ; WEITSMAN,Y.

Report Date : MAR 1962

Pagination or Media Count : 1

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)

Descriptors :   *HYDROSTATIC PRESSURE, *PARTIAL DIFFERENTIAL EQUATIONS, ELASTIC SHELLS, GASES, MECHANICS, PRESSURE BREATHING, STRESSES

Distribution Statement : APPROVED FOR PUBLIC RELEASE