DISPLACEMENTS AND FINITE-STRAIN FIELDS IN A HOLLOW SPHERE SUBJECTED TO LARGE ELASTIC DEFORMATIONS

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)

• Corporate Authors:

  Catholic University of America

  School of Engineering and Architecture
  Washington, DC  United States  20019
• Authors:
  • Chen, T L
  • Durelli, A J
• Publication Date: 1973-9

Media Info

• Pagination: 33 p.
• Serial:
  • Issue Number: 32

Subject/Index Terms

• TRT Terms: Deformation; Elastic deformation; Elastomers; Loads; Photoelasticity; Shells (Structural forms); Spheres; Strain (Mechanics); Stresses
• Old TRIS Terms: Elastic shells; Isocyanate plastics; Loading mechanics
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00051146
• Record Type: Publication
• Source Agency: National Technical Information Service
• Contract Numbers: N00014-67-A-0377-001
• Files: TRIS
• Created Date: Feb 28 1974 12:00AM