Displacements and Finite-Strain Fields in a Hollow Sphere Subjected to Large Elastic Deformations,

Abstract

The paper presents the fields of displacements and strains in a hollow sphere diametrically loaded to seven levels of loads. Polyurethane rubber was used to make the hollow sphere and grids and moire gratings were printed on a meridian plane to measure displacements. The maximum applied vertical displacement reduced the outer diameter of the hollow sphere by about 20 percent. It was found that the horizontal displacement of the ends of the horizontal diameter divided by its deformed length is linear up to that load. Strains were obtained by photographic differentiation. Strains obtained for low levels of load were compared at two points of interest to those obtained using a series by Golecki for the inside boundary, and found appreciably lower. Results are presented in terms of dimensionless loads and Eulerian strains. The largest Eulerian strain recorded is about 30%, the smallest is of the order of 0.001. Stress distributions will be given in another paper. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0766814

Entities

People

  • Augusto J. Durelli
  • T. L. Chen

Organizations

  • The Catholic University of America

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Diameters
  • Displacement
  • Geometry
  • Macromolecules
  • Materials
  • Mathematics
  • Molecules
  • Physical Properties
  • Plastics
  • Polyurethanes

Readers

  • Calculus or Mathematical Analysis
  • Geodesy
  • Mechanical Engineering/Mechanics of Materials.