The Effect of a Circular Inclusion on the Stress Intensity Factors Around a Line Crack under the Concentrated Forces.
NEW MEXICO UNIV ALBUQUERQUE BUREAU OF ENGINEERING RESEARCH
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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