We construct a singular integral equation of an antiplane periodic problem of the theory of elasticity for an isotropic plane weakened by smooth curvilinear holes. A numerical solution of the problem is obtained in the case of closely located holes with rounded V-shaped vertices made in the elastic plane under the conditions of uniform shear at infinity. On this basis, we determine the stress concentration factors at the rounded vertices of a bilateral V-shaped semiinfinite notch. By using the well-known relation between the stress intensity and stress concentration factors for sharp and rounded V-shaped notches, we perform the limit transition to a bilateral sharp V-shaped notch. The dependence of the stress intensity factor at the sharp vertices of a bilateral V-notch on its apex angle is determined.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 53, No. 5, pp. 16–23, September–October, 2017.
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Savruk, M.P., Kvasnyuk, O.I. & Chornenkyi, A.B. Periodic System of Closely Located Holes in an Elastic Plane Under the Conditions of Antiplane Deformation. Mater Sci 53, 590–599 (2018). https://doi.org/10.1007/s11003-018-0113-3
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DOI: https://doi.org/10.1007/s11003-018-0113-3