PSI - Issue 72

Taras Dalyak et al. / Procedia Structural Integrity 72 (2025) 13–19

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defect ed ge contact (green lines) and decreases for contact cracks (red lines). This effect differs from the case of crack interaction under conditions of symmetric bending (Dalyak (2019)). The appearance of the screening effect for bending of a plate with parallel closable cracks can be explained by the significant influence of the contact-induced plane stress state. As is known, such effect is present in a plane stress problem (Isida (1977)). Fig. 3 shows the distribution of the contact reaction on the closed edges of the cuts for different values of the parameter  . For small distances between cracks, the contact interaction increases, especially in the middle of the cut. It should be noted that the contact inequality (3) along the entire cut line is ensured in the studied range of changes of the parameter  .

Fig. 3. Distribution of contact forces along the length of the closed crack

4. Conclusions Based on the obtained analytical and numerical solutions to the problem of bending a plate with two parallel contact cracks under antisymmetric loading, the following conclusions were made:  the membrane component of the stress field caused by the contact of the edges prevails over the corresponding component of the bending moment;  taking into account the interaction of the edges of the cracks changes not only the quantitative picture, but also the qualitative one. The screen effect for near located contact crack appears. References Berezhnitskii, L. Т. Delyavskii, M. V., Panasyuk, V. V., 1979. Bending of thin plates with defects such as cracks. Naukova dumka, Kiev Bozhidarnik, V. V., Opanasovich, V.K., Gerasimchuk, P. V., 2006. Bilateral bending of a plate with nonsymmetric through-thickness arc crack with allowance for the contact of its edges. Strength of Materials 38, 5, 548 – 553. https://doi.org/10.1007/s11223-006-0075-9 Dalyak, T. M., 2004. Bending of a plate containing a periodic system of shifted parallel cracks whose lips are in contact. Materials Science 40, 1, 139 – 143. https://doi.org/10.1023/B:MASC.0000042797.07617.b1 Dalyak, T. M., 2019. Investigation of the interaction of two parallel shifted cracks in plate bending adjusted for their closure. Theoretical and Applied Mechanics 46, 2, 147 – 155. https://doi.org/10.2298/TAM190808009D Delyavskyy, M., Opanasovych, V., Seliverstov, R., Bilash, O., 2021. A symmetric three-layer plate with two coaxial cracks under pure bending. Applied Sciences 11, 6, 2859. https://doi.org/10.3390/app11062859 Dempsey, J. P., Shektman, I.I., Slepyan, L. I., 1998. Closure of a through crack in a plate under bending. Int. J. Solids and Struct. 35, 4077 – 4089. https://doi.org/10.1016/S0020-7683(97)00302-8. Heming, F. S., 1980. Sixth order analysis of crack closure in bending of an elastic plate. International Journal of Fracture 16, 4, 289 – 304, https:// doi.org/10.1007/BF00018233