PSI - Issue 81

Ivan Zvizlo et al. / Procedia Structural Integrity 81 (2026) 109–115

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5. Results and Discussion The obtained SIFs were normalized using the separation SIFs

0 2 h I K N a   for cracks in an infinite homogeneous body, i.e. . Curves 1 – 3 in Fig. 2 – 4 correspond to the 0.3 А В   

h I I K K K   I

. The calculations were performed for Poisson's ratios

values 0.1; 1; 10.0 G  % , respectively, and the curve marked with circles describes the case of a single-periodic array of cracks in an infinite homogeneous body. Fig. 2 shows the dependence of SIFs ° I K on the contrast parameter of the stiffnesses of the materials of the half-spaces A B G G G  % and the distance 2 d between neighboring defects at a fixed value 1 1.1 d a  .

Fig. 2. Dependence of the SIFs ° I K on the contrast of the stiffness of the materials of the half-spaces

A B G G G  %

and the distance between neighboring defects

d 2 at a fixed value d 1 / a = 1.1 at points of the crack contour with different angle coordinates: (a ) – φ = 0°; (b) – φ = 90°.

The increase in the distance between the defects leads to a decrease in the I K % values (this decrease is more pronounced for the point with the angular coordinate φ = 90° ). The values of the contrast of the stiffnesses are more sensitive at the point with the coordinate φ = 0° . The presence of slip at the interface increases the values of I K % (curve 2 for 1 G  % ) compared to the case of cracks in an infinite homogeneous body (marked curve). Fig. 3 shows the dependence of the SIFs I K % on the parameter G % and the distance d 1 to the interface for the fixed distance between neighboring defects 2 / 2.1 d a  . The change in the contrast of materials can be accompanied by both a decrease (curves 1 , 2 ) and an increase (curve 3 ) of the I K % values with subsequent access to their analogs for the case of cracks in an infinite homogeneous body. The most sensitive to the contrast of the stiffness of materials are the points of the crack contour with angular coordinates of φ = 0° and φ = 90°(270°) .

Fig. 3. Dependence of the SIFs ° I K on the parameter G % and the distance d 1 to the interface for the fixed distance between neighboring defects d 2 / a = 2.1 at points of the crack contour with different angle coordinates: (a) – φ = 0°; (b) – φ = 90°(270°); (c) – φ = 180° ; (d) – the dependence of the SIFs ° I K on the parameter G % by fixed parameters 1 2 / 1.2, / 2.1 d a d a   .