Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Neff, Patrizio A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness. (English) Zbl 07762850 J. Elasticity 154, No. 1-4, 579-605 (2023). MSC: 74K25 74B05 74G10 74G22 74G30 74A35 35Q74 PDFBibTeX XMLCite \textit{I.-D. Ghiba} et al., J. Elasticity 154, No. 1--4, 579--605 (2023; Zbl 07762850) Full Text: DOI arXiv
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
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
Bîrsan, Mircea Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory. (English) Zbl 1482.74112 Math. Mech. Solids 25, No. 6, 1318-1339 (2020). MSC: 74K25 74A35 PDFBibTeX XMLCite \textit{M. Bîrsan}, Math. Mech. Solids 25, No. 6, 1318--1339 (2020; Zbl 1482.74112) Full Text: DOI arXiv
Bîrsan, Mircea; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature. (English) Zbl 07273403 Math. Mech. Solids 24, No. 12, 4000-4019 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Bîrsan} et al., Math. Mech. Solids 24, No. 12, 4000--4019 (2019; Zbl 07273403) Full Text: DOI arXiv
Bîrsan, Mircea; Neff, Patrizio Analysis of the deformation of Cosserat elastic shells using the dislocation density tensor. (English) Zbl 1387.74074 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 13-30 (2017). MSC: 74K25 74B20 74G65 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{P. Neff}, Adv. Struct. Mater. 69, 13--30 (2017; Zbl 1387.74074) Full Text: DOI
Sander, Oliver; Neff, Patrizio; Bîrsan, Mircea Numerical treatment of a geometrically nonlinear planar Cosserat shell model. (English) Zbl 1382.74021 Comput. Mech. 57, No. 5, 817-841 (2016). MSC: 74B20 74K25 74S05 65N30 PDFBibTeX XMLCite \textit{O. Sander} et al., Comput. Mech. 57, No. 5, 817--841 (2016; Zbl 1382.74021) Full Text: DOI arXiv
Neff, Patrizio; Bîrsan, Mircea; Osterbrink, Frank Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements. (English) Zbl 1327.74035 J. Elasticity 121, No. 1, 119-141 (2015). MSC: 74B20 49J40 PDFBibTeX XMLCite \textit{P. Neff} et al., J. Elasticity 121, No. 1, 119--141 (2015; Zbl 1327.74035) Full Text: DOI arXiv
Bîrsan, Mircea; Neff, Patrizio Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory. (English) Zbl 1423.74565 Int. J. Eng. Sci. 80, 32-42 (2014). MSC: 74K25 74B20 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{P. Neff}, Int. J. Eng. Sci. 80, 32--42 (2014; Zbl 1423.74565) Full Text: DOI arXiv
Bîrsan, Mircea; Neff, Patrizio Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. (English) Zbl 1364.74060 Math. Mech. Solids 19, No. 4, 376-397 (2014). MSC: 74K25 74G65 74G25 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{P. Neff}, Math. Mech. Solids 19, No. 4, 376--397 (2014; Zbl 1364.74060) Full Text: DOI arXiv
Bîrsan, Mircea; Neff, Patrizio Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates. (English) Zbl 1267.74073 J. Elasticity 112, No. 2, 185-198 (2013). MSC: 74K20 74K25 74G65 74G25 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{P. Neff}, J. Elasticity 112, No. 2, 185--198 (2013; Zbl 1267.74073) Full Text: DOI arXiv
Altenbach, Holm; Bîrsan, Mircea; Eremeyev, Victor A. On a thermodynamic theory of rods with two temperature fields. (English) Zbl 1401.74163 Acta Mech. 223, No. 8, 1583-1596 (2012). MSC: 74K10 74A15 74F05 74H25 PDFBibTeX XMLCite \textit{H. Altenbach} et al., Acta Mech. 223, No. 8, 1583--1596 (2012; Zbl 1401.74163) Full Text: DOI HAL
Bîrsan, Mircea; Altenbach, Holm Theory of thin thermoelastic rods made of porous materials. (English) Zbl 1271.74258 Arch. Appl. Mech. 81, No. 10, 1365-1391 (2011). MSC: 74K10 74F05 74F10 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{H. Altenbach}, Arch. Appl. Mech. 81, No. 10, 1365--1391 (2011; Zbl 1271.74258) Full Text: DOI
Bîrsan, Mircea; Altenbach, Holm On the theory of porous elastic rods. (English) Zbl 1236.74140 Int. J. Solids Struct. 48, No. 6, 910-924 (2011). MSC: 74K10 74F10 PDFBibTeX XMLCite \textit{M. Bîrsan} and \textit{H. Altenbach}, Int. J. Solids Struct. 48, No. 6, 910--924 (2011; Zbl 1236.74140) Full Text: DOI
Bîrsan, Mircea Minimum energy characterizations for the solution of Saint-Venant’s problem in the theory of shells. (English) Zbl 1090.74038 J. Elasticity 81, No. 2, 179-204 (2005). MSC: 74K25 74G65 PDFBibTeX XMLCite \textit{M. Bîrsan}, J. Elasticity 81, No. 2, 179--204 (2005; Zbl 1090.74038) Full Text: DOI