Geodesic
Solution of the Beltrami equations for the infinite hollow cylinder under the axisymmetric deformation
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 10-17

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In this paper, axisymmetric stresses of an infinitely long hollow circular cylinder are found from the strain compatibility equations that are reduced to a system of Bessel-type ordinary differential equations by the Fourier transform. The constants of integration of the expressions for the Fourier transforms of stresses are determined by the Fourier-transformed equilibrium equations and boundary conditions. Numerical results are given for the particular case of cylinder's load.
Keywords: infinitely long cylinder, axisymmetric deformation, Beltrami strain compatibility equations, equilibrium equations
Mots-clés : Fourier transform. 
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     title = {Solution of the {Beltrami} equations for the infinite hollow cylinder under the axisymmetric deformation},
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Petr I. Anferov; Christina Yu. Aturgasheva. Solution of the Beltrami equations for the infinite hollow cylinder under the axisymmetric deformation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 10-17. http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a1/