Nebel, Lisa Julia; Sander, Oliver; Bîrsan, Mircea; Neff, Patrizio A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements. (English) Zbl 07761306 Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023). MSC: 65N30 74K25 PDFBibTeX XMLCite \textit{L. J. Nebel} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023; Zbl 07761306) Full Text: DOI arXiv
Saem, Maryam Mohammadi; Ghiba, Ionel-Dumitrel; Neff, Patrizio A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence. (English) Zbl 1524.74008 J. Nonlinear Sci. 33, No. 5, Paper No. 70, 67 p. (2023). MSC: 74A05 74A60 74B20 74G65 74K20 74K25 74Q05 74K15 PDFBibTeX XMLCite \textit{M. M. Saem} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 70, 67 p. (2023; Zbl 1524.74008) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio A constrained Cosserat shell model up to order \(O(h^5)\): modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor. (English) Zbl 1483.74062 J. Elasticity 146, No. 1, 83-141 (2021). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74K25 74G65 74B20 PDFBibTeX XMLCite \textit{I.-D. Ghiba} et al., J. Elasticity 146, No. 1, 83--141 (2021; Zbl 1483.74062) Full Text: DOI arXiv
Bîrsan, Mircea Alternative derivation of the higher-order constitutive model for six-parameter elastic shells. (English) Zbl 1464.74105 Z. Angew. Math. Phys. 72, No. 2, Paper No. 50, 30 p. (2021). MSC: 74K25 74G10 PDFBibTeX XMLCite \textit{M. Bîrsan}, Z. Angew. Math. Phys. 72, No. 2, Paper No. 50, 30 p. (2021; Zbl 1464.74105) Full Text: DOI
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers. (English) Zbl 1456.49040 J. Elasticity 142, No. 2, 263-290 (2020). MSC: 49S05 49J10 74K25 74K20 74A60 74B20 74G10 46N20 PDFBibTeX XMLCite \textit{I.-D. Ghiba} et al., J. Elasticity 142, No. 2, 263--290 (2020; Zbl 1456.49040) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation. (English) Zbl 1456.74116 J. Elasticity 142, No. 2, 201-262 (2020). MSC: 74K25 74G10 PDFBibTeX XMLCite \textit{I.-D. Ghiba} et al., J. Elasticity 142, No. 2, 201--262 (2020; Zbl 1456.74116) Full Text: DOI arXiv