PSI - Issue 59

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Ivan Shatskyi et al. / Procedia Structural Integrity 59 (2024) 246–252 Shatskyi et al. / Structural Integrity Procedia 00 (0000) 000 – 000

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the unstable propagation of a through crack, we recommend choosing the integrated energy criterion (10). The motivation is the desire to take into account the information about the stress state along the entire crack front, not just at the most stressed point. 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 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 Jones, D. P., Swedlow J. L., 1975. The influence of crack closure and elasto-plastic flow on the bending of a cracked plate. International Journal of Fracture 11, 6, 897 – 914. https://doi.org/10.1007/BF00033836 Joseph, P. F., Erdogan, F., 1989. Surface crack problems in plate bending. Int. J. Fract. 41, 2, 105 – 131. https://doi.org/10.1007/BF00018480 Khludnev, A. M., 1995. On contact problem for a plate having a crack. Control and Cybernetics 24, 3, 349 – 361. Lazarev, N. P., 2011. An equilibrium problem for a Timoshenko plate with a through crack. Sib. Zh. Ind. Mat. 14, 4, 32 – 43. Opanasovych, V. K., Stashchuk, M. H., Dorosh, M. I., 2008. Bending of a plate containing a periodic system of collinear cracks with regard for the contact of crack lips. Materials Science 44, 2, 201 – 210. https://doi.org/10.1007/s11003-008-9063-5 Panasyuk, V. V., 1968. Limiting Equilibrium of Brittle Bodies with Cracks, Naukova Dumka, Kiev. Shats’kii, I. P., Perepichka, V. V., 1992. Bending of a semiinfinite plate weakened by a crack with contacting edges. Soviet Materials Science 28, 2, 154 – 157. https://doi.org/10.1007/BF00727310 Shats’kyi, I. P., Makoviichuk, M. V., 2003. Contact Interaction of the Crack Edges in the Case of Bending of a Plate with Elastic Support. Materials Science 39, 371 – 376. https://doi.org/10.1023/B:MASC.0000010742.15838.44 Shatskii, I. P., 1990. Interaction of collinear sections with contacting edges in a bent plate. Materials Science 26, 3, 311 – 316. https://doi.org/10.1007/BF00727363 Shatskii, I. P., 1991. Bending of a plate containing a periodic system of parallel slits with contacting edges. Soviet Applied Mechanics 27, 12, 1186 – 1190. https://doi.org/10.1007/BF01301504 Shatskii, I. P., 2001. Model for contact of crack boundaries in a bending plate. Journal of Mathematical Sciences 103, 3, 357 – 362. https://doi.org/10.1023/A:1011366312923 Shatsky, I. P., 1988. Bending of plate weakened by the cut with contacting edges. Dopovidi Akademii Nauk Ukrainskoi RSR Ser. A – Fiziko matematichni ta technichni nauki 7, 49 – 51. Smith, D. G., Smith, C. W., 1970. A photoelastic evaluation of the influence of closure and other effects upon the local bending stresses in cracked plates. Int. J. Fract. Mech. 6, 3, 305 – 318. https://doi.org/10.1007/BF00212662 Syasky, A., Muzychuk, K., 2012. Bending of piecewise homogeneous plate with one curvilinear cut under contacting of its edges. Visnyk TNTU 66, 2, 7 – 15. Williams, M. L., 1961. The bending stress distribution on the base of a stationary crack. Journal of Applied Mechanics 28, 1, 78 – 82. https://doi.org/10.1115/1.3640470 Wynn, R. H., Smith, C. W., 1969. An experimental investigation of fracture criteria for combined extension and bending. Journal of Basic Engineering,91, 841 – 849. https://doi.org/10.1115/1.3571228 Young, M. J., Sun, C. T., 1992. Influence of crack closure on the stress intensity factor in bending plates – A classical plate solution. International Journal of Fracture 55, 81 – 93. https://doi.org/10.1007/BF00018034 Zehnder, A. T., Viz, M. J., 2005. Fracture mechanics of thin plates and shells under combined membrane, bending and twisting loads. Applied Mechanics Reviews 58, 37 – 48. https://doi.org/10.1115/1.1828049