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- W4386825400 abstract "A modification of the algorithm for constructing analytical solutions to the plane axisymmetric elasticity and thermoelasticity problems in terms of stresses is suggested for solid cylinders assembled of radially-inhomogeneous coaxial layers. In contrast to the original approach which is based on the application of the direct integration method along with the apparatus of the generalized differentiation, the proposed modification allows for formulating and solving the governing equations of such problems in terms of the classical derivatives by the radial coordinate. In such manner, the procedure for derivation of the recurring kernels is simplified for constructing the resolvent solutions of the governing integral equation of continuity, which was obtained by using the direct integration method. Cite as: Yu. V. Tokovyy, “Integration of the equations of plane axisymmetric problems of elasticity and thermoelasticity for layered solid cylinders,” Mat. Met. Fiz. Mekh. Polya , 65 , No.1-2, 136–145 (2022) (in Ukrainian), https://doi.org/10.15407/mmpmf2022.65.1-2.136-145" @default.
- W4386825400 created "2023-09-19" @default.
- W4386825400 creator A5038403386 @default.
- W4386825400 date "2022-06-30" @default.
- W4386825400 modified "2023-10-03" @default.
- W4386825400 title "Integration of the equations of plane axisymmetric problems of elasticity and thermoelasticity for layered solid cylinders" @default.
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- W4386825400 doi "https://doi.org/10.15407/mmpmf2022.65.1-2.136-145" @default.
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