Abstract
A representation of solutions to the system of differential equations for the statics of elastic, transversely isotropic, mildly sloping shells is found in the form of a series in terms of a parameter that characterizes the difference of the median surface from spherical. Recurrence relations are obtained that can be used for solving boundary value problems by expansion in terms of a small parameter to arbitrary approximations.
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REFERENCES
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A. N. Guz',I. S. Chernyshenko, andK. I. Shnerenko, Spherical Bottoms Weakened by Holes [in Russian], Nauk. Dumka, Kiev (1970).
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Chekhov, V.N., Sous, A.D.A. Representation of Solutions to the Equations of Statics for Transversely Isotropic Mildly Sloping Shells. Journal of Mathematical Sciences 107, 4380–4385 (2001). https://doi.org/10.1023/A:1012500432576
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DOI: https://doi.org/10.1023/A:1012500432576