By the generalized Fourier method, we obtain the numerical-analytic solution of a nonaxisymmetric boundary-value problem of the theory of elasticity for a cylindrical body with four cylindrical cavities. The problem is reduced to an infinite system of linear algebraic equations whose operator is Fredholm. We investigate the convergence of the method of reduction for the solution of the given system. The dependences of the principal components of the stress tensor on the geometric parameters are obtained.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 3, pp. 132–142, July–September, 2014.
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Nikolaev, O.G., Tanchik, E.A. Stresses in an Infinite Circular Cylinder with Four Cylindrical Cavities. J Math Sci 217, 299–311 (2016). https://doi.org/10.1007/s10958-016-2974-z
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DOI: https://doi.org/10.1007/s10958-016-2974-z