The thermomechanical bending of an elastic sandwich ring plate with light core on an elastic foundation is considered. To describe the kinematics of the plate that is asymmetric across the thickness, broken-normal hypotheses are accepted. The foundation reaction is described by Winkler's model. A system of equilibrium equations is derived and solved for displacements. Numerical results for a sandwich ring plate in a temperature field are presented
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References
J. F. Bell, The Experimental Foundations of Solid Mechanics, Vol. 1 of C. Truesdell (ed.), Mechanics of Solids, Springer-Verlag, Berlin-Heidelberg-New York (1984).
A. G. Gorshkov, É. I. Starovoitov, and A. V. Yarovaya, Mechanics of Layered Viscoelastoplastic Structural Members [in Russian], Fizmatlit, Moscow (2005).
E. Kamke, Handbook of Ordinary Differential Equations [in German], Chelsea, New York (1974).
P. Z. Lugovoi, “The dynamics of thin-walled structures under nonstationary loads,” Int. Appl. Mech., 37, No. 5, 602–627 (2001).
É. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Impulsive Loading of Three-Layer Structural Members [in Russian], BelGUT, Gomel (2003).
A. N. Tikhonov, A. B. Vasil'eva, and A. G. Sveshnikov, A Course of Higher Mathematics and Mathematical Physics. Differential Equations [in Russian], Nauka, Moscow (1980).
V. G. Boborykin, “Solving the elastic bending problem for a plate with mixed boundary conditions,” Int. Àppl. Mech., 42, No. 5, 582–589 (2006).
Z.-Q. Cheng, A. K. Jemah, and F. W. Williams, “Theory for multilayered anisotropic plates with weakened interfaces,” Trans. ASME, J. Appl. Mech., 63, No. 4, 1019–1026 (1996).
J. K. Ebsioglu, “On the theory of sandwich panels in the reference state,” Int. J. Eng. Sci., No. 6, 166–194 (1966).
A. G. Gorshko, É. I. Starovoitov, and A. V. Yarovaya, “Harmonic vibrations of a viscoelastoplastic sandwich cylindrical shell,” Int. Appl. Mech., 37, No. 9, 1196–1203 (2001).
V. D. Kubenko, Yu. M. Pleskachevskii, E. I. Starovoitov, and D. V. Leonenko, “Natural vibration of a sandwich beam on an elastic foundation,” Int. Àppl. Mech., 42, No. 5, 541–547 (2006).
L. V. Kurpa and G. N. Timchenko, “Studying the free vibrations of multilayer plates with a complex planform,” Int. Àppl. Mech., 42, No. 1, 103–109 (2006).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Circular sandwich plates under local impulsive load,” Int. App. Mech., 39, No. 8, 945–952 (2003).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Vibrations of circular sandwich plates under resonance loads,” Int. Appl. Mech., 39, No. 12, 1458–1463 (2003).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Vibrations of a sandwich rod under local and impulsive force,” Int. Appl. Mech., 41, No. 7, 809–816 (2005).
É. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Elastoplastic bending of a sandwich bar on an elastic foundation,” Int. Appl. Mech., 43, No. 4, 451–459 (2007).
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 94–103, September 2008.
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Starovoitov, É.I., Leonenko, D.V. Thermoelastic bending of a sandwich ring plate on an elastic foundation. Int Appl Mech 44, 1032–1040 (2008). https://doi.org/10.1007/s10778-009-0115-9
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DOI: https://doi.org/10.1007/s10778-009-0115-9