Calculation of near-tip non-singular stresses under mixed-mode crack surface tractions

When the crack surfaces are subjected to nonuniform mixed-mode surface tractions, there exist at the tip additional constant stress components other than the T-stress and the influence from the higher order non-singular stress terms may become more significant. In this work, an effective numerical approach is proposed to calculate the corresponding non-singular stresses. By introducing the concept of mixed-mode auxiliary stress fields, a de-singularized loading system is established for the calculation. The proposed scheme is applicable for 2-D problems subjected to arbitrarily distributed nonuniform crack surface tractions.