THE EFFECT OF A CIRCULAR INCLUSION ON THE STRESS INTENSITY FACTORS AROUND A LINE CRACK UNDER THE CONCENTRATED FORCES

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 a finite line crack under the concentrated forces applied to the crack surface 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, K varies with the configuration and elastic properties of the plate and the inclusion. Solutions obtained can be reduced to special cases: (1) the homogeneous plate with a line crack, (2) the plate with a hole and a line crack, and (3) the plate with a rigid inclusion and a line crack. (Author)

  • Corporate Authors:

    University of New Mexico, Albuquerque

    Bureau of Engineering Research
    Albuquerque, NM  USA  87131
  • Authors:
    • Hsu, Y C
    • Huang, Y C
    • Ju, F D
  • Publication Date: 1972-10

Media Info

  • Pagination: 25 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00044244
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: AFOSR-TR-73-0012 Tech Rpt
  • Contract Numbers: AF-AFOSR-2135-71
  • Files: TRIS
  • Created Date: May 11 1973 12:00AM