Arbitrarily Oriented Rounded Hole in a Linearly Elastic Plate

Abstract

We deduce computational formulas for the initial angle of propagation of quasibrittle fracture and the ultimate uniform load applied to a homogeneous isotropic linearly elastic plane weakened by an arbitrarily oriented curvilinear rounded notch. By using the conditions of maximum of the quantities appearing in the proposed criterion, we establish, for the first time, the relationships between the parameters of this formula. For some special cases, these parameters can be found and the influence of curvature at the tip of the defect and various mechanisms of fracture of the plate can be clarified. We also studied the onset of fracture for cracks propagating according to the criteria of maximum tangential stresses τmax, maximum specific energy of shaping Wf, and maximum specific total energy W.