An algorithm for studying stresses at curvilinear cracks in an anisotropic strip, based on the method of singular integral equations is developed. The kernels of the integral equations are written based on a Green-type solution, so the boundary conditions at the rectilinear boundaries of the strip are fulfilled identically. Green’s solution is obtained for isolated and periodically placed cracks. Stresses in composite strips with cracks under the action of tension, pure bending, three-point bending and concentrated forces are determined.
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References
M. P. Savuk, Two-Dimensional Problems of Elasticity for Bodies with Cracks [in Russian], Naukova Dumka, Kyiv (1981).
E. N. Theotokoglou, and G. J. Tsamasphyros, “Integral equations for any configuration of curved cracks and holes in an elastic strip,” Ingenieur-Archiv, 57, Is. 1, 3–15 (1987); https://doi.org/10.1007/BF00536807.
A. C. Kaya, and F. Erdogan, “Stress intensity factors and COD in an orthotropic strip,” Int. J. of Fracture, 16, Is. 2, 171–190 (1980); https://doi.org/10.1007/BF00012620.
A. M. Baghestani, A. R. Fotuhi, and S. J. Fariborz, “Multiple interacting cracks in an orthotropic layer,” Archive of Appl. Mech., 83, Is. 11, 1549–1567 (2013); https://doi.org/10.1007/s00419-013-0761-6.
H. Huang, and G. A. Kardomateas, “Stress intensity factors for a mixed mode center crack in an anisotropic strip,” Int. J. of Fracture, 108, Is. 4, 367–381 (2001); https://doi.org/10.1023/A:1011006225367.
Y. Murakami, Reference Book on Stress Intensity Factors [in Russian], in 2 Vol., Mir, Moscow (1990).
V. Bozhydarnyk, and O. Maksymovych, “Elastic equilibrium of an anisotropic half plane with periodic system of holes and cracks,” Mater. Sci., 37, No. 6, 857–865 (2001); https://doi.org/10.1023/A:1015632905424.
M. O. Maksymovych, and Ye. V. Kharchenko, “Determination of stresses in an anisotropic strip with holes based on singular integral equations and Green’s solution,” Math. Meth. and Phys.-Mech. Fields, 63, Is. 3, 69–77 (2020).
H. Pokhmurska, O. Maksymovych, A. Dzyubyk, and I. Dzyubyk, “Calculation of trajectories and the rate of growth of curvilinear fatigue cracks in isotropic and composite plates,” Mater. Sci. and Eng., 373, Is. 1, art. no. 012024 (2018); https://doi.org/10.1088/1757-899X/373/1/012024.
V. V. Bozhydarnik, and O. V. Maksymovych, Elastic and Limiting Equilibrium of Anisotropic Plates with Holes and Cracks [in Ukrainian], Lutsk State Techn. Univ., Lutsk (2003).
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 58, No. 5, pp. 107–114, September–October, 2022.
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Maksymovych, M.O., Maksymovych, O.V. & Dutkiewicz, M. Calculation of Stresses in Composite Strips with Cracks on the Base of Modified Integral Equations Taking into Account the Contact of their Edges. Mater Sci 58, 670–678 (2023). https://doi.org/10.1007/s11003-023-00715-0
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DOI: https://doi.org/10.1007/s11003-023-00715-0