COUPLE-STRESS SOLUTION TO AN INFINITE PLATE BOUNDED BY AN ELLIPTICAL HOLE

Couple-stresses solutions are obtained for an infinite tension elastic plate bounded at the interior by an elliptical hole with the static equilibrating tractions. The nominal tension in the plate is uniform along the major axis. The selection of the Mathieus' functions and the form of weighting functions in the boundary conditions match a particular class of boundary values which reduces upon limiting processes to the three limiting cases. These cases are ones with free stresses on the interior boundary: the couple-stresses solution for the degenerate circle, the couple-stresses solution for the degenerate crack, and the classical solution for the elliptical hole. Of particular interest is the degenerate crack problem.

• Corporate Authors:

  New Mexico State University, Las Cruces

  Bureau of Engineering Research
  Las Cruces, NM  United States  88801
• Authors:
  • Ju, F D
  • Hsu, Y C
  • Wang, W J
• Publication Date: 1970-8

Media Info

• Pagination: 64 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Cracking; Elasticity (Mechanics); Stresses; Structural analysis
• Uncontrolled Terms: Crack propagation
• Old TRIS Terms: Boundary stresses
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00034746
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: AFOSR-70-2500TR Tech Rpt
• Contract Numbers: AF-AFOSR-568-67
• Files: TRIS
• Created Date: Oct 27 1974 12:00AM