COMPRESSION OF AN ELASTIC ROLLER BETWEEN TWO RIGID PLATES

A closed solution--exact within two-dimensional linear elastostatics--is deduced for the problem appropriate to the compression of an elastic circular cylinder between two smooth, flat and parallel, rigid plates. The boundary displacements obtained for the cylinder involve elliptic integrals, whereas its stress field is given in terms of elementary functions exclusively. The results found for the distribution of the contact pressure and for the width of the contact zone are compared with the corresponding predictions of Hertz's approximate theory, for which elementary corrections are determined by asymptotic means. Analogous corrections are established for a previously available approximate estimate of the diametral compression undergone by the roller, which remains indeterminate in the Hertz treatment of this two-dimensional contact problem.

• Corporate Authors:

  California Institute of Technology

  Division of Engineering and Applied Science
  1200 East California Boulevard
  Pasadena, CA  United States  91125
• Authors:
  • Sternberg, E
  • Turteltaub, M J
• Publication Date: 1971-1

Media Info

• Features: References;
• Pagination: 39 p.
• Serial:
  • Issue Number: 22

Subject/Index Terms

• TRT Terms: Compressive strength; Deformation curve; Elasticity (Mechanics)
• Uncontrolled Terms: Compressive properties
• Old TRIS Terms: Bearing analysis
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00016709
• Record Type: Publication
• Report/Paper Numbers: Tech Rpt
• Contract Numbers: N00014-67-A-00940020
• Files: TRIS
• Created Date: Oct 29 1973 12:00AM