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
Ghiba, Ionel-Dumitrel; Neff, Patrizio Linear constrained Cosserat-shell models including terms up to \({O}(h^5)\): conditional and unconditional existence and uniqueness. (English) Zbl 1509.74038 Z. Angew. Math. Phys. 74, No. 2, Paper No. 47, 29 p. (2023). MSC: 74K25 35Q74 PDFBibTeX XMLCite \textit{I.-D. Ghiba} and \textit{P. Neff}, Z. Angew. Math. Phys. 74, No. 2, Paper No. 47, 29 p. (2023; Zbl 1509.74038) 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
Sharma, Basant Lal; Basak, Nirupam Null Lagrangians in Cosserat elasticity. (English) Zbl 1465.74009 J. Elasticity 143, No. 2, 337-358 (2021). MSC: 74A35 74B20 74G65 PDFBibTeX XMLCite \textit{B. L. Sharma} and \textit{N. Basak}, J. Elasticity 143, No. 2, 337--358 (2021; Zbl 1465.74009) 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
Ljulj, Matko; Tambača, Josip A Naghdi type nonlinear model for shells with little regularity. (English) Zbl 1456.74118 J. Elasticity 142, No. 2, 447-494 (2020). MSC: 74K25 74B20 74K15 74G65 74G10 PDFBibTeX XMLCite \textit{M. Ljulj} and \textit{J. Tambača}, J. Elasticity 142, No. 2, 447--494 (2020; Zbl 1456.74118) 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
Anicic, Sylvia Polyconvexity and existence theorem for nonlinearly elastic shells. (English) Zbl 1393.74103 J. Elasticity 132, No. 1, 161-173 (2018). MSC: 74K25 74B20 74G65 74G25 49J20 35A01 35Q74 PDFBibTeX XMLCite \textit{S. Anicic}, J. Elasticity 132, No. 1, 161--173 (2018; Zbl 1393.74103) Full Text: DOI arXiv
Rezaiee-Pajand, M.; Arabi, E.; Masoodi, Amir R. A triangular shell element for geometrically nonlinear analysis. (English) Zbl 1381.74144 Acta Mech. 229, No. 1, 323-342 (2018). MSC: 74K25 74S30 PDFBibTeX XMLCite \textit{M. Rezaiee-Pajand} et al., Acta Mech. 229, No. 1, 323--342 (2018; Zbl 1381.74144) Full Text: DOI
Fischle, Andreas; Neff, Patrizio The geometrically nonlinear Cosserat micropolar shear-stretch energy. II: Non-classical energy-minimizing microrotations in 3D and their computational validation. (English) Zbl 07777519 ZAMM, Z. Angew. Math. Mech. 97, No. 7, 843-871 (2017). MSC: 15A24 22E30 74A30 74A35 74B20 74G05 74G65 74N15 PDFBibTeX XMLCite \textit{A. Fischle} and \textit{P. Neff}, ZAMM, Z. Angew. Math. Mech. 97, No. 7, 843--871 (2017; Zbl 07777519) Full Text: DOI arXiv
Fischle, Andreas; Neff, Patrizio The geometrically nonlinear Cosserat micropolar shear-stretch energy. I: A general parameter reduction formula and energy-minimizing microrotations in 2D. (English) Zbl 07777518 ZAMM, Z. Angew. Math. Mech. 97, No. 7, 828-842 (2017). MSC: 15A24 74A30 74A35 74B20 74G05 74G65 74N15 PDFBibTeX XMLCite \textit{A. Fischle} and \textit{P. Neff}, ZAMM, Z. Angew. Math. Mech. 97, No. 7, 828--842 (2017; Zbl 07777518) 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
Burzyński, S.; Chróścielewski, J.; Witkowski, W. Geometrically nonlinear FEM analysis of 6-parameter resultant shell theory based on 2-D Cosserat constitutive model. (English) Zbl 07775013 ZAMM, Z. Angew. Math. Mech. 96, No. 2, 191-204 (2016). MSC: 74Kxx 74Axx 74Sxx PDFBibTeX XMLCite \textit{S. Burzyński} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 2, 191--204 (2016; Zbl 07775013) Full Text: DOI
Tambača, Josip; Tutek, Zvonimir A new linear Naghdi type shell model for shells with little regularity. (English) Zbl 1443.74113 Appl. Math. Modelling 40, No. 23-24, 10549-10562 (2016). MSC: 74-10 74K25 74K15 PDFBibTeX XMLCite \textit{J. Tambača} and \textit{Z. Tutek}, Appl. Math. Modelling 40, No. 23--24, 10549--10562 (2016; Zbl 1443.74113) 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
Eremeyev, Victor A.; Lebedev, Leonid P.; Cloud, Michael J. The Rayleigh and Courant variational principles in the six-parameter shell theory. (English) Zbl 1330.74118 Math. Mech. Solids 20, No. 7, 806-822 (2015). MSC: 74K25 74G65 PDFBibTeX XMLCite \textit{V. A. Eremeyev} et al., Math. Mech. Solids 20, No. 7, 806--822 (2015; Zbl 1330.74118) Full Text: DOI
Burzyński, Stanisław; Chróścielewski, Jacek; Witkowski, Wojciech Elastoplastic law of Cosserat type in shell theory with drilling rotation. (English) Zbl 1330.74117 Math. Mech. Solids 20, No. 7, 790-805 (2015). MSC: 74K25 74C05 PDFBibTeX XMLCite \textit{S. Burzyński} et al., Math. Mech. Solids 20, No. 7, 790--805 (2015; Zbl 1330.74117) Full Text: DOI
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
Neff, Patrizio; Lankeit, Johannes; Madeo, Angela On Grioli’s minimum property and its relation to Cauchy’s polar decomposition. (English) Zbl 1423.74041 Int. J. Eng. Sci. 80, 209-217 (2014). MSC: 74A35 74B05 15A23 74-03 01A60 PDFBibTeX XMLCite \textit{P. Neff} et al., Int. J. Eng. Sci. 80, 209--217 (2014; Zbl 1423.74041) 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
Altenbach, Holm; Eremeyev, Victor A. Vibration analysis of non-linear 6-parameter prestressed shells. (English) Zbl 1299.74074 Meccanica 49, No. 8, 1751-1761 (2014). MSC: 74H45 74K25 PDFBibTeX XMLCite \textit{H. Altenbach} and \textit{V. A. Eremeyev}, Meccanica 49, No. 8, 1751--1761 (2014; Zbl 1299.74074) Full Text: DOI
Lankeit, Johannes; Neff, Patrizio; Nakatsukasa, Yuji The minimization of matrix logarithms: on a fundamental property of the unitary polar factor. (English) Zbl 1302.15009 Linear Algebra Appl. 449, 28-42 (2014). MSC: 15A16 15A18 15A24 15A45 15A60 PDFBibTeX XMLCite \textit{J. Lankeit} et al., Linear Algebra Appl. 449, 28--42 (2014; Zbl 1302.15009) Full Text: DOI arXiv