The Dependence of Stress Intensity Factors and Weight Functions on Elastic Constants

We investigate the dependence of stress intensity factors on elastic constants in two dimensional elastic isotropic bodies, using Bueckner’s weight function theory. This dependence is described in terms of Poisson’s ratio. The dependence on Poisson’s ratio shows up when the resultant tractions on each of the contours separately is non-zero in multiply connected bodies. As an example, we calculate mode I stress intensity factor KI for a crack under concentrated loading applied at one of crack faces.