The Effect of a Circular Inclusion on the Stress Intensity Factors Around a Line Crack under the Concentrated Forces.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1972
- Accession Number
- AD0754210
Entities
People
- C. Y. Huang
- F. D. Ju
- Y. C. Hsu
Organizations
- University of New Mexico