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- W4320414824 abstract "Using $Gamma$-convergence arguments, we construct a nonlinear membrane-like Cosserat shell model on a curvy reference configuration starting from a geometrically nonlinear, physically linear three-dimensional isotropic Cosserat model. Even if the theory is of order $O(h)$ in the shell thickness $h$, by comparison to the membrane shell models proposed in classical nonlinear elasticity, beside the change of metric, the membrane-like Cosserat shell model is still capable to capture the transverse shear deformation and the {Cosserat}-curvature due to remaining Cosserat effects. We formulate the limit problem by scaling both unknowns, the deformation and the microrotation tensor, and by expressing the parental three-dimensional Cosserat energy with respect to a fictitious flat configuration. The model obtained via $Gamma$-convergence is similar to the membrane {(no $O(h^3)$ flexural terms, but still depending on the Cosserat-curvature)} Cosserat shell model derived via a derivation approach but these two models do not coincide. Comparisons to other shell models are also included." @default.
- W4320414824 created "2023-02-14" @default.
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- W4320414824 date "2022-07-18" @default.
- W4320414824 modified "2023-10-18" @default.
- W4320414824 title "A geometrically nonlinear Cosserat (micropolar) curvy shell model via Gamma convergence" @default.
- W4320414824 doi "https://doi.org/10.48550/arxiv.2207.08541" @default.
- W4320414824 hasPublicationYear "2022" @default.
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