The stress state of dented circular non-thin cylindrical shells under certain boundary conditions at the ends is analyzed. The shells are made of continuously inhomogeneous materials and subjected to uniform internal pressure. The three-dimensional linear elasticity problem is solved using methods of separation of variables, discrete Fourier series, and stable numerical discrete orthogonalization. The shell cross-section is described by the Pascal snail equation. The material of the shell is a continuously inhomogeneous material with a gradient profile where Young’s modulus varies quadratically across the thickness of the shell. The results on the stress state of circular shells of equal perimeter with and without a dent are compared.
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Translated from Prykladna Mekhanika, Vol. 58, No. 4, pp. 12–20, July–August 2022.
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Grigorenko, Y.M., Grigorenko, O.Y. & Rozhok, L.S. Stress State of Non-Thin Nearly Circular Cylindrical Shells Made of Continuously Inhomogeneous Materials. Int Appl Mech 58, 381–388 (2022). https://doi.org/10.1007/s10778-022-01163-0
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DOI: https://doi.org/10.1007/s10778-022-01163-0