STRESS STATE IN THE PLASTIC ZONE ON THE CONTINUATION OF AN ELLIPTIC MODE I CRACK UNDER BI- AND TRI-AXIAL LOADING

摘要

The spatial stress state in a circular plastic zone near an elliptic crack under bi- and tri-axial asymmetric loading at infinity is studied. It is shown that the plastic constraint factor peaks at the points with maximum external tensile tangential stresses on the crack boundary. The use of a two-parameter failure criterion leads to the conclusion that the limit state can first be reached at the ends of the major axis of the elliptic crack depending on the relation between the external stresses