By the method of singular integral equations, we solve a two-dimensional periodic problem of the theory of elasticity for an isotropic plane with infinitely many curvilinear holes whose contours serve as origins of edge curvilinear cracks. By the method of quadratures, we reduce the obtained system of integral equations to a complex system of linear algebraic equations. We also determine the stress intensity factors at the tips of edge cracks when the plane is uniformly loaded at infinity (tension or transverse shear). Finally, the influence of the shapes and relative sizes of holes and cracks on the stress intensity factors is investigated for various external loads.
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Translated from Fizyko-Khimichna Mekhanika Materialiv Vol. 54 No. 6 pp. 102–109 November–December 2018
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Kravets’, V.S., Savruk, M.P. Two-Dimensional Periodic Problem of the Theory of Elasticity for an Isotropic Plane with Curvilinear Holes and Edge Cracks. Mater Sci 54, 866–874 (2019). https://doi.org/10.1007/s11003-019-00274-3
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DOI: https://doi.org/10.1007/s11003-019-00274-3