Sky, Adam; Neunteufel, Michael; Lewintan, Peter; Zilian, Andreas; Neff, Patrizio Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence. (English) Zbl 07822140 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116494, 28 p. (2024). MSC: 81-XX 68-XX PDFBibTeX XMLCite \textit{A. Sky} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116494, 28 p. (2024; Zbl 07822140) Full Text: DOI arXiv
Sarhil, Mohammad; Scheunemann, Lisa; Lewintan, Peter; Schröder, Jörg; Neff, Patrizio A computational approach to identify the material parameters of the relaxed micromorphic model. arXiv:2401.15648 Preprint, arXiv:2401.15648 [math.NA] (2024). BibTeX Cite \textit{M. Sarhil} et al., ``A computational approach to identify the material parameters of the relaxed micromorphic model'', Preprint, arXiv:2401.15648 [math.NA] (2024) Full Text: arXiv OA License
d’Agostino, Marco Valerio; Martin, Robert J.; Lewintan, Peter; Bernardini, Davide; Danescu, Alexandre; Neff, Patrizio On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models. arXiv:2401.08670 Preprint, arXiv:2401.08670 [math-ph] (2024). BibTeX Cite \textit{M. V. d'Agostino} et al., ``On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models'', Preprint, arXiv:2401.08670 [math-ph] (2024) Full Text: arXiv OA License
Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions. (English) Zbl 1518.35024 Calc. Var. Partial Differ. Equ. 62, No. 6, Paper No. 182, 33 p. (2023). MSC: 35A23 26D10 35Q74 46E35 PDFBibTeX XMLCite \textit{F. Gmeineder} et al., Calc. Var. Partial Differ. Equ. 62, No. 6, Paper No. 182, 33 p. (2023; Zbl 1518.35024) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Lewintan, Peter; Sky, Adam; Neff, Patrizio An essay on deformation measures in isotropic thin shell theories. Bending versus curvature. arXiv:2312.10928 Preprint, arXiv:2312.10928 [math-ph] (2023). BibTeX Cite \textit{I.-D. Ghiba} et al., ``An essay on deformation measures in isotropic thin shell theories. Bending versus curvature'', Preprint, arXiv:2312.10928 [math-ph] (2023) Full Text: arXiv OA License
Gourgiotis, Panos; Rizzi, Gianluca; Lewintan, Peter; Bernardini, Davide; Sky, Adam; Madeo, Angela; Neff, Patrizio Green’s functions for the isotropic planar relaxed micromorphic model – concentrated force and concentrated couple. arXiv:2311.00707 Preprint, arXiv:2311.00707 [math.AP] (2023). BibTeX Cite \textit{P. Gourgiotis} et al., ``Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple'', Preprint, arXiv:2311.00707 [math.AP] (2023) Full Text: DOI arXiv OA License
d’Agostino, Marco Valerio; Rizzi, Gianluca; Khan, Hassam; Lewintan, Peter; Madeo, Angela; Neff, Patrizio The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters. (English) Zbl 1514.74068 Contin. Mech. Thermodyn. 34, No. 6, 1393-1431 (2022). MSC: 74M25 PDFBibTeX XMLCite \textit{M. V. d'Agostino} et al., Contin. Mech. Thermodyn. 34, No. 6, 1393--1431 (2022; Zbl 1514.74068) Full Text: DOI arXiv
Lewintan, Peter; Neff, Patrizio \(L^p\)-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions. (English) Zbl 1504.35015 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1477-1508 (2022). MSC: 35A23 35B45 35Q74 46E35 PDFBibTeX XMLCite \textit{P. Lewintan} and \textit{P. Neff}, Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1477--1508 (2022; Zbl 1504.35015) Full Text: DOI arXiv
Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio Korn-Maxwell-Sobolev inequalities for general incompatibilities. arXiv:2212.13227 Preprint, arXiv:2212.13227 [math.AP] (2022). MSC: 35A23 26D10 35Q74 35Q75 46E35 BibTeX Cite \textit{F. Gmeineder} et al., ``Korn-Maxwell-Sobolev inequalities for general incompatibilities'', Preprint, arXiv:2212.13227 [math.AP] (2022) Full Text: DOI arXiv OA License
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
Lewintan, Peter; Neff, Patrizio Nečas-Lions lemma revisited: an \(L^{p}\)-version of the generalized Korn inequality for incompatible tensor fields. (English) Zbl 1473.35015 Math. Methods Appl. Sci. 44, No. 14, 11392-11403 (2021). MSC: 35A23 35B45 35Q74 46E35 PDFBibTeX XMLCite \textit{P. Lewintan} and \textit{P. Neff}, Math. Methods Appl. Sci. 44, No. 14, 11392--11403 (2021; Zbl 1473.35015) Full Text: DOI arXiv
Lewintan, Peter; Neff, Patrizio \(L^p\)-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with \(p\)-integrable exterior derivative. (Versions \(L^p\) des inégalités généralisées de Korn pour les champs de tenseurs incompatibles de dimension quelconque avec dérivée extérieure \(p\)-intégrable.) (English. French summary) Zbl 1472.35015 C. R., Math., Acad. Sci. Paris 359, No. 6, 749-755 (2021). MSC: 35A23 35B45 35Q74 46E35 PDFBibTeX XMLCite \textit{P. Lewintan} and \textit{P. Neff}, C. R., Math., Acad. Sci. Paris 359, No. 6, 749--755 (2021; Zbl 1472.35015) Full Text: DOI arXiv
Lewintan, Peter; Müller, Stefan; Neff, Patrizio Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. (English) Zbl 1471.35009 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 150, 46 p. (2021). MSC: 35A23 35B45 35Q74 46E35 PDFBibTeX XMLCite \textit{P. Lewintan} et al., Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 150, 46 p. (2021; Zbl 1471.35009) Full Text: DOI arXiv
Lewintan, Peter; Neff, Patrizio \(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions. (English) Zbl 1465.35016 Z. Angew. Math. Phys. 72, No. 3, Paper No. 127, 14 p. (2021). MSC: 35A23 35B45 35Q74 46E35 PDFBibTeX XMLCite \textit{P. Lewintan} and \textit{P. Neff}, Z. Angew. Math. Phys. 72, No. 3, Paper No. 127, 14 p. (2021; Zbl 1465.35016) Full Text: DOI
Saem, Maryam Mohammadi; Lewintan, Peter; Neff, Patrizio On in-plane drill rotations for Cosserat surfaces. arXiv:2102.10356 Preprint, arXiv:2102.10356 [math.DG] (2021). MSC: 74B20 74A20 74A10 74K25 53A05 53A10 BibTeX Cite \textit{M. M. Saem} et al., ``On in-plane drill rotations for Cosserat surfaces'', Preprint, arXiv:2102.10356 [math.DG] (2021) Full Text: DOI arXiv OA License
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