The dependence of stress intensity factors and weight functions on elastic constants

We investigate the dependence of stress intensity factors (SIFs) on elastic constants in two-dimensional elastic isotropic bodies. Bueckner’s weight function theory is used for the derivation of the dependence of SIFs on elastic constants. The dependence of SIFs on Poisson’s ratio shows up when the resultant tractions on each of the contours Lk separately is not zero in multiply connected bodies. As an example we calculate K1 for Griffith crack under concentrated loading applied on the upper crack face.