Analytical Determination of Stress Intensity Factor for Plate Bending Problems

Analytical Solution for an Orthotropic Elastic Plate Containing Cracks

“…The above stress intensity factor is the same as that of given by Sih et al (1962), Jones and Subramonian (1983), Zehnder and Hui (1994), Murakami (1987) and Lalitha Chattopadhyay (2003) for isotropic material. Case (b): In this case we assume that the plate containing a crack is subjected to the twisting moment H 0 (Figure 2) along its edges.…”

“…Also the constants appearing in the solution of the governing differential equations are obtained from the displacement boundary conditions by defining the curvature discontinuities on the crack surfaces apart from the moment boundary conditions and continuity conditions. The mechanical behavior near the crack tip is modeled in a more simple approach, using classical plate theory in the case of an isotropic plate by the author in Chattopadhyay (2003). In the present study, the general formulae for the stress distribution in an infinite elastic orthotropic plate containing cracks are derived and the stress intensity factor is determined in a closed form in the case of a single crack when the plate is subjected to bending or twisting moments and the results are compared with those from the literature.…”