THE EFFECT OF A CIRCULAR INCLUSION ON THE STRESSES AROUND TWO COLLINEAR FINITE LINE CRACKS IN A PLATE UNDER TENSION

The investigation aims at the fracture stability (toughness) of the flat large elastic cracked plate in the presence of an elastic circular inclusion. To this end, the crack-tip stress intensity factor for plane problems, K, in the field theory of elastic fracture, is proposed as a criterion for the fracture stability. Here K is defined as the magnitude of stresses in the vicinity of the end of the crack and determines the onset of rapid fracture in the elastic theory of Griffith-Irwin. Of interest is K in a flat large elastic plate with two collinear finite cracks under uniform stresses at infinity, containing an elastic circular inclusion. The analysis is based on the two-dimensional theory of elasticity and by use of the Muskhelishvilli complex variable approach. Numerical calculations were carried out for the variation of K with the configuration and elastic properties of the plate and the inclusion, for the case of simple tension in the y direction.

• Corporate Authors:

  University of New Mexico, Albuquerque

  Bureau of Engineering Research
  Albuquerque, NM  United States  87131
• Authors:
  • Hsu, Y C
  • Shivakumar, V R
• Publication Date: 1972-9

Media Info

• Pagination: 37 p.

Subject/Index Terms

• TRT Terms: Cracking; Fracture mechanics; Fracture properties; Stresses
• Uncontrolled Terms: Crack propagation; Stress intensity factors
• Old TRIS Terms: Crack stresses
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00041736
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: ME-57(72) AFOSR-074 Int Rpt
• Contract Numbers: AF-AFOSR-2135-71
• Files: TRIS
• Created Date: Mar 19 1973 12:00AM