STRESS DISTRIBUTION IN A NOTCHED SEMI-INFINITE PLATE,

Abstract

The problem treated is that of determination of stresses in a semi-infinite elastic half-plate with a notch of depth unity perpendicular to the straight edge. The half-plane is loaded symmetrically with two isolated forces acting at points inside the semi-infinite body. The solution to this problem is obtained by superposition of stresses due to (a) complete elastic half-plane loaded with two isolated forces, located symmetrically with respect to a line perpendicular to the straight edge, and (b) notched elastic half-plane with prescribed stresses acting on the boundary of the notch. The prescribed tractions on the notch are obtained from the solution of part (a). The numerical values of the stress intensity factors for 62 different locations of the isolated forces, in the half plane, are determined. These results generally indicate a sharp change in the stress intensity factors when the forces act at points close to the crack. The change of the stress intensity factor is small when the forces act at points several lengths removed from the crack. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0608932

Entities

People

  • D. Shadman

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Intensity
  • Stress Intensity Factors
  • Stresses
  • Traction

Fields of Study

  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Structural Dynamics.