Determination The Stress Intensity Factor in The Un-Central Edge Cracks With The concentrated Load

Abstract

The stress distribution on the tip of the cracks and the stress intensity factor on them are the main courses in the fracture mechanic. The stress intensity factor of the cracks with the different load exited and the different geometry are listed in the tables of the standard books. In all of them, the cracks are located in the central point of the plates. In the uniform edge loaded case, the crack position is not effect on the stress intensity factor of the crack but in the case that the load is concentrated the stress distribution different from point to another point and therefore the stress intensity factor of the crack, is changed with the crack displacement from the point of the exited load. In this paper, the stress intensity factor changes with the distance of it from the edge of the semi-infinite plate with the edge crack is investigated. A new relation is introduced from the simulation solution with the Abaqus. Then, similar relation from analytical solution from the theory of the linear fracture mechanic was proposed. This relation was determined from the stress distribution calculation in the plate with the pointed load with the analytical solution from the elasticity theory. This two relations were compared with another and finally the more accurate relation was introduced as the relation of the stress intensity factor with the distance from the edge of the plate.