PSI - Issue 81
Ivan Shatskyi et al. / Procedia Structural Integrity 81 (2026) 129–134
134
References
Berezhnitskii, L.T., Delyavskii, M.V., Rudnitskii, I.I., 1984. Bending of a laminar plate with a crack with an arbitrary rule of distribution of the stresses across the thickness. Strength of Materials 16, 10, 1426 – 1432. https://doi.org/10.1007/BF01530333 Berezhnitskii, L.T., Perevozchikov, V.G., Delyavskii, M.V., Onyshko, L.I., 1986. Stress state and limiting equilibrium of a multilayer reinforced plate with a crack. Soviet Materials Science 21, 6, 520 – 524. https://doi.org/10.1007/BF00722233 Berezhnitskii, L.T., Delyavskii, M.V., Panasyuk, V.V., 1979. Bending of thin plates with defects such as cracks. Naukova dumka, Kyiv. Castanié, B., Bouvet, C., Ginot, M., 2020. Review of composite sandwich structure in aeronautic applications. Composites Part C: Open Access 1, 100004. https://doi.org/10.1016/j.jcomc.2020.100004 Cherepanov, G.P., 1983. Fracture mechanics of composite materials. Nauka, Moscow. 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 Delale, F., Erdogan, F., 1983. The crack problem for a nonhomogeneous plane. Journal of Applied Mechanics 50(3), 609 – 614. https://doi.org/10.1115/1.3167098 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 Gibson, R.F., 2016. Principles of Composite Material Mechanics, 4th ed. CRC Press, Boca Raton. https://doi.org/10.1201/b19626 Isida, M., 1977. Bending of plate containing arbitrary array of cracks. Transactions of the Japan Society of Mechanical Engineers 43, 367, 825 – 837. Jones, R.M., 1999. Mechanics of Composite Materials, 2nd ed. Taylor & Francis, Philadelphia. 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 Perepichka, V.V., Shats'kyi, I.P., 2002. Bending of a semiinfinite plate with a periodic system of cuts considering the contact of their edges. Journal of Mathematical Sciences 109, 1, 1290 – 1294. https://doi.org/10.1023/A:1013713215277 Reddy, J.N., 2004. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd ed. CRC Press, Boca Raton. Savruk, M.P., 1981. Two-dimensional problems of elasticity for cracked bodies. Naukova dumka, Kyiv. 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. Shatskyi, I., Dalyak, T., Makoviichuk, M., Perepichka, V., 2024. A tactic of two-side estimates of limiting bending loads for plates with contact cracks. Procedia Structural Integrity 59, 246 – 252. https://doi.org/10.1016/j.prostr.2024.04.035 Suresh, S., Mortensen, A., 1998. Fundamentals of Functionally Graded Materials. IOM Communications Ltd, London. 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
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