Abstract
In this paper we consider geometrically nonlinear 6-parameter shell models. We establish some existence proofs by the direct methods of the calculus of variations. In contrast to more classical approaches, we also investigate models up to order h5 in the shell thickness, where the form of the equations is determined by a dimensional descent from a three-dimensional Cosserat model.
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Acknowledgements
This research has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project no. 415894848: BI 1965/2-1 (M. Bîrsan) and NE 902/8-1 (P. Neff).
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Bîrsan, M., Neff, P. (2023). On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter Shells. In: Altenbach, H., Berezovski, A., dell'Isola, F., Porubov, A. (eds) Sixty Shades of Generalized Continua. Advanced Structured Materials, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-031-26186-2_6
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