PSI - Issue 81

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

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Fig. 4 shows the dependence of the SIFs ° I K on the angular coordinate φ of the crack contour point for fixed parameters d 1 and d 2 : 2 1 / 2.1, / 1.1 d a d a   (Fig. 4 а ) and 2 1 / 3.0, / 1.1 d a d a   Fig. 4b). We can see that, depending on the values 1 2 , , G d d % , the probable growth of cracks can occur in the direction of the interface (curve 1 in Fig. 4a and curves 1 and 2 in Fig. 4b), in the directions of the bridges between the defects (Fig. 4a), and deep into the lower half-space (curve 3 in Fig. 4b).

Fig. 4. Dependence of the SIFs ° I K on the angle coordinate  of the cracks contour points by fixed parameters d 1 and d 2 . Fig. 3d shows the dependence of the SIFs ° I K on the parameter G % for fixed parameters d 1 and d 2 . The increase in the stiffness of the upper defect-free half-space leads to a decrease in the values ° I K . A qualitative difference between the case of slipping of bimaterial components at the interface and ideal contact is that in the case G  % , the limiting case of the crack location in the half-space with a pinched surface is never reached. 6. Conclusions • A boundary-integral analysis of the strength of an elastic bimaterial body consisting of two half-spaces under static mode I load with smooth sliding mechanical contact was performed. The body contains a single-period array of cracks oriented perpendicular to the interface between the half-spaces. • The problem is reduced to solving a two-dimensional boundary integral equation with respect to the unknown crack opening displacement function. • The influence of interface slip effects and stiffness contrast of components of a bimaterial with defects on its strength was analyzed. References Andrade, H. C., Trevelyan, J., Leonel, E. D., 2023. Direct evaluation of stress intensity factors and T-stress for biomaterial interface cracks using the extended isogeometric boundary element method. Theoretical and Applied Fracture Mechanics 127, 1‒21. Bartolomeo, M. Di., Massib, F., Baillet, L., Culla, A., Fregolent, A., Berthier, Y., 2012. Wave and rupture propagation at frictional bimaterial sliding interfaces: From local to global dynamics, from stick-slip to continuous sliding. Tribology International 52, 117 ‒ 131. Ben-Romdhane, M., El-Borgi, S., Charfeddine, M., 2013. An embedded crack in a functionally graded orthotropic coating bonded to a homogeneous substrate under a frictional Hertzian contact. International Journal of Solid and Structures 50, 3898‒3910. Chai, H., Lv, J., Baom Y., 2020. Numerical solution of hypersingular integral equations for stress intensity factors of planar embedded interface cracks and their correlations with bimaterial parameters. International Journal of Solid and Structures 202, 184‒194. Golub, M. V., Doroshenko, O. V., Wilde, M. V., Eremin, A. A., 2021. Experimental validation of the applicability of effective spring boundary conditions for modeling damaged interfaces in laminate structures. Composite Structures, 273, 1 ‒ 9. Gu, Y., Lin, J., Wang, F., 2021. Fracture mechanics analysis of bimaterial interface cracks using an enriched method of fundamental solutions: theory and MATLAB code . Theoretical and Applied Fracture Mechanics 116, 1‒20. Mikhas’kiv, V. V., Sladek, J., Sladek, V., Stepanyuk, A. I., 2004. Stress concentration near an elliptic crack in the interface between elastic bodies under steady state vibrations. International Applied Mechanics, 40(6), 664‒671. Pasternak, Ya. M., Sulym, H. T., Vasylyshyn, A. V., Yasniy, O. P., 2023. Influence of interfacial layers of high thermal conductivity on the distribution of physicomechanical fields in two-component structures. Material Science 6, 725 ‒ 730. Stankevich, V. Z., 1996. Computation of certain double integrals those are characteristic of dynamic problems of the theory of cracks in a semi-infinite body. Journal of Mathematical Sciences 81(6), 3048 – 3052. Stankevych, V. Z., Stankevych, O. M., 2024 Acoustic emission in elastic bimaterial with crack under different contact conditions of interface plane. International Applied Mechanics 60(2), 203 – 211. Sulim, G. T., Piskozub, J. Z., 2008. Thermoelastic equilibrium of piecewise homogeneous solids with thin inclusions. Journal of Engineering Mathematics 61(2‒ 4), 315 ‒ 337. Xiao, Sh., Yue, Zh., Xiao, H., 2019. Dual boundary element method for analyzing three-dimensional cracks in layered and graded halfspaces, Engineering Analysis with Boundary Elements 104, 135‒147. Yasniy, P., Maruschak, P., Lapusta, Y., 2006. Experimental Study of Crack Growth in a Bimetal Under Fatigue and Fatigue-Creep Conditions. Int. J. Fract 139, 545 – 552. Zvizlo, I. S., Stankevych, N. V., 2024. Torsion crack in a piecewise homogeneous body with a thin layer at the interface. Materials Science 60(2), 232 ‒ 239.