Abstract
In this chapter we study the stability of flexible shells with rectangular planforms under the impact of heat and subject to various loads, and we take into account the dependence of the heat and mechanical characteristics on temperature. Here we do not consider coupling of the thermal and deformation fields.
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References
Awrejcewicz, J., Krysko, V. A., Kutepov, I. E., Zagniboroda, N. A., Dobriyan, V., Papkova, I. V. (2015). Chaotic vibrations of flexible curvilinear beams in temperature and electric fields. International Journal of Non-Linear Mechanics, 76, 29–41.
Awrejcewicz, J., Krysko, V. A., Papkova, I. V., & Krysko, A. V. (2016). Deterministic chaos in one dimensional continuous systems. Singapore: World Scientific.
Awrejcewicz, J., Kutepov, I., Pavlov, S. P., Papkova, I. V., & Krysko, A. V. (2016). Non-linear dynamics of flexible curvilinear Bernoulli-Euler nano-beams in a stationary temperature field. Journal of Engineering and Applied Sciences, 11(9), 2079–2084.
Krysko, A. V., Kutepov, I., Papkova, I. V., Saltykova, O. A., & Pavlov, S. P. (2016). The study of the size-dependent geometrically nonlinear Bernoulli-Euler beam in the temperature field Impacted by the transversal load. International Journal of Applied Engineering Research (IJAER), 11, 10398–10401.
Kornishin, M. S. (1964). Nonlinear problems of theory of plates and shallow shells and methods of their solution. Moscow: Nauka.
Kovalenko, A. D. (1970). Fundamentals of thermoelasticity. Kiev: Naukova Dumka (in Russian).
Krysko, V. A. (1976). Nonlinear statics and dynamics of inhomogeneous membranes. Saratov: Publishing House Saratov University Press.
Volmir, A. S. (1972). The nonlinear dynamics of plates and shells. Moscow: Nauka (in Russian).
Shiau, A. S., Soong, T. T., & Roth, R. S. (1974). Dynamic buckling of conical shells with imperfections. AIAA Journal, 12(6), 24–30.
Cverna, F. (2006). Worldwide guide to equivalent irons and steels. ASM International.
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Krysko, V.A., Awrejcewicz, J., Zhigalov, M.V., Kirichenko, V.F., Krysko, A.V. (2019). Stability of Flexible Shallow Shells Subject to Transversal Loads and Heat Flow. In: Mathematical Models of Higher Orders. Advances in Mechanics and Mathematics, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-030-04714-6_5
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DOI: https://doi.org/10.1007/978-3-030-04714-6_5
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