Abstract
In Chap. 6, a mathematical model governing the oscillations of a flexible shell with physical nonlinearity and coupling between the thermal and deformation fields has been presented. However, the loading and unloading processes overlap in the σ i(e i) diagram, and the remaining elasto-plastic deformation has not been taken into account. In a theoretical treatment of complicated shell oscillations, in order to analyse the stress–strain state properly, the elasto-plastic deformation should be considered, as well as the fatigue behaviour of the material. Only in this case can the mathematical model be close to the real behaviour of a structure. The aim of this chapter is to describe the development of complex mathematical models of structures, including elasto-plastic deformation and cyclic loading.
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References
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Krys’ko, V.A.: Nonlinear Statics and Dynamics of Nonhomogeneous Shells. Saratov University Press, Saratov (1976) (in Russian)
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Awrejcewicz, J., Krysko, V.A. (2020). Dynamics of Thin Elasto-Plastic Shells. In: Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members. Scientific Computation. Springer, Cham. https://doi.org/10.1007/978-3-030-37663-5_8
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DOI: https://doi.org/10.1007/978-3-030-37663-5_8
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