We develop an algorithm for the determination of stresses in an anisotropic half plane with notches based on the method of boundary integral equations. Integral equations are solved numerically by the method of mechanical quadratures. The investigation of stresses near notches of different shapes is performed. We establish the characteristic features of the stress distributions depending on the shapes and sizes of notches and the mechanical characteristics of the material of the plates. The asymptotic relations are proposed for the determination of the stress concentration factors for narrowed notches of elliptic shapes.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 2, pp. 129–139, April–June, 2015.
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Maksymovych, О.V., Illyushyn, О.V. & Solyar, T.Y. Stresses in an Anisotropic Half Plane with Notches. J Math Sci 223, 159–172 (2017). https://doi.org/10.1007/s10958-017-3345-0
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DOI: https://doi.org/10.1007/s10958-017-3345-0