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POTENTIAL STRAIN ENERGY SURFACES AT THE CRACK TIP VICINITY
Authors: Dragan Jovanović
Number of views: 647
Results of reconstruction of potential strain energy surfaces at the region of crack and basic procedures of the reconstruction method are presented. Pertinent limitations and specifications of the method are pointed out in evaluating the best fitting curves and the best fitting three-dimensional surfaces of stress components and potential strain energy. Examples of cracks named in the paper as PR-Z-16 and PR-P-22, with exactly the same geometry of crack and plate are analyzed. The same finite element lattice for calculation in both cases is selected. The first example of a plate is loaded with in y - direction on the outer border of the plate, perpendicularly on the plane of crack, while in the example PR-P-22 the plate is loaded with continually and perpendicularly on the crack contour surface. The reconstruction procedure of potential strain energy surfaces for two sections of plates y=0 and z=0, and graphical presentation of these surfaces, are carried out. Based on reconstructed potential strain energy surfaces, isoenergy lines at the region in front of the crack tip for both analyzed examples, are obtained. It is observed that the distribution of stresses as well as the distribution of potential strain energy are very similar in both cases, which indicates a significant influence of geometric shape of contour surfaces of the crack. For comparison, stress state and potential strain energy state, which are obtained by using relations from literature, are shown.