We consider a symmetric problem of the theory of elasticity for the stressed state of a thick-walled shell whose end faces are covered with a diaphragm. The boundary-value problem is reduced to an infinite system of singular integral equations of the second kind. The expressions for stresses characterizing the stressed state of this shell are deduced. Based on the developed analytic algorithm, we performed numerical experiments whose results are represented in the graphical form and contain new quantitative and qualitative data about the stressed state of a thick-walled shell depending on its geometric parameters and Poisson’s ratios of its materials.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 4, pp. 140–148, October–December, 2013.
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Kovalev, Y.D., Shramko, Y.V. Tension of a Thick-Walled Shell of Finite Length Whose End Faces are Covered with A Diaphragm. J Math Sci 208, 436–447 (2015). https://doi.org/10.1007/s10958-015-2458-6
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DOI: https://doi.org/10.1007/s10958-015-2458-6