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
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; 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
Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). (English) Zbl 07590438 Math. Mech. Solids 27, No. 3, 507-553 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{G. Rizzi} et al., Math. Mech. Solids 27, No. 3, 507--553 (2022; Zbl 07590438) Full Text: DOI arXiv
Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio Morrey’s conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions. (English) Zbl 1497.74004 J. Nonlinear Sci. 32, No. 5, Paper No. 76, 49 p. (2022). MSC: 74B20 35Q74 PDFBibTeX XMLCite \textit{J. Voss} et al., J. Nonlinear Sci. 32, No. 5, Paper No. 76, 49 p. (2022; Zbl 1497.74004) Full Text: DOI
Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects. (English) Zbl 1524.74232 Wave Motion 110, Article ID 102898, 39 p. (2022). MSC: 74J15 35Q74 74H05 74J05 74M25 PDFBibTeX XMLCite \textit{H. Khan} et al., Wave Motion 110, Article ID 102898, 39 p. (2022; Zbl 1524.74232) 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
Voss, Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split. (English) Zbl 1465.74028 J. Elasticity 143, No. 2, 301-335 (2021). MSC: 74B20 74E10 PDFBibTeX XMLCite \textit{J. Voss} et al., J. Elasticity 143, No. 2, 301--335 (2021; Zbl 1465.74028) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio The isotropic Cosserat shell model including terms up to \(O(h^5)\). 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
d’Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Eidel, Bernhard; Neff, Patrizio; Madeo, Angela Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model. (English) Zbl 1433.74009 J. Elasticity 139, No. 2, 299-329 (2020). MSC: 74A10 74A30 74A35 74A60 74B05 74M25 74Q15 74J05 PDFBibTeX XMLCite \textit{M. V. d'Agostino} et al., J. Elasticity 139, No. 2, 299--329 (2020; Zbl 1433.74009) 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
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; d’Agostino, Marco-Valerio; Neff, Patrizio Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. (English) Zbl 07273362 Math. Mech. Solids 24, No. 10, 3200-3215 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Owczarek} et al., Math. Mech. Solids 24, No. 10, 3200--3215 (2019; Zbl 07273362) Full Text: DOI arXiv
Münch, Ingo; Neff, Patrizio; Madeo, Angela; Ghiba, Ionel-Dumitrel The modified indeterminate couple stress model: why Yang et al.’s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless. (English) Zbl 07776766 ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1524-1554 (2017). MSC: 74A10 74A35 74B05 PDFBibTeX XMLCite \textit{I. Münch} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1524--1554 (2017; Zbl 07776766) Full Text: DOI arXiv
d’Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model. (English) Zbl 07776760 ZAMM, Z. Angew. Math. Mech. 97, No. 11, 1436-1481 (2017). MSC: 74A10 74A30 74A35 74A60 74B05 74M25 74Q15 74J05 PDFBibTeX XMLCite \textit{M. V. d'Agostino} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 11, 1436--1481 (2017; Zbl 07776760) Full Text: DOI arXiv
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel Real wave propagation in the isotropic-relaxed micromorphic model. (English) Zbl 1404.82028 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160790, 24 p. (2017). MSC: 82B41 PDFBibTeX XMLCite \textit{P. Neff} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160790, 24 p. (2017; Zbl 1404.82028) Full Text: DOI arXiv
Madeo, Angela; Neff, Patrizio; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Ghiba, Ionel-Dumitrel A review on wave propagation modeling in band-gap metamaterials via enriched continuum models. (English) Zbl 1387.74058 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, 89-105 (2017). MSC: 74J10 74A30 74-02 PDFBibTeX XMLCite \textit{A. Madeo} et al., Adv. Struct. Mater. 69, 89--105 (2017; Zbl 1387.74058) Full Text: DOI arXiv
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Rosi, Giuseppe Reflection and transmission of elastic waves in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model. (English) Zbl 1482.74103 J. Mech. Phys. Solids 95, 441-479 (2016). MSC: 74J99 PDFBibTeX XMLCite \textit{A. Madeo} et al., J. Mech. Phys. Solids 95, 441--479 (2016; Zbl 1482.74103) Full Text: DOI arXiv
Madeo, Angela; Ghiba, Ionel-Dumitrel; Neff, Patrizio; Münch, Ingo A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model. (English) Zbl 1406.74035 Eur. J. Mech., A, Solids 59, 294-322 (2016). MSC: 74A30 74A35 74A10 PDFBibTeX XMLCite \textit{A. Madeo} et al., Eur. J. Mech., A, Solids 59, 294--322 (2016; Zbl 1406.74035) Full Text: DOI arXiv
Neff, Patrizio; Ghiba, Ionel-Dumitrel The exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticity. (English) Zbl 1348.74053 Contin. Mech. Thermodyn. 28, No. 1-2, 477-487 (2016). MSC: 74B20 35Q74 PDFBibTeX XMLCite \textit{P. Neff} and \textit{I.-D. Ghiba}, Contin. Mech. Thermodyn. 28, No. 1--2, 477--487 (2016; Zbl 1348.74053) Full Text: DOI arXiv
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G. Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. (English) Zbl 1341.74085 Contin. Mech. Thermodyn. 27, No. 4-5, 551-570 (2015). MSC: 74J05 PDFBibTeX XMLCite \textit{A. Madeo} et al., Contin. Mech. Thermodyn. 27, No. 4--5, 551--570 (2015; Zbl 1341.74085) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. (English) Zbl 1338.74007 Math. Mech. Solids 20, No. 10, 1171-1197 (2015). MSC: 74A60 35Q74 PDFBibTeX XMLCite \textit{I.-D. Ghiba} et al., Math. Mech. Solids 20, No. 10, 1171--1197 (2015; Zbl 1338.74007) Full Text: DOI arXiv
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe Band gaps in the relaxed linear micromorphic continuum. (English) Zbl 1326.74106 ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880-887 (2015). MSC: 74M25 PDFBibTeX XMLCite \textit{A. Madeo} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880--887 (2015; Zbl 1326.74106) Full Text: DOI arXiv
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Lankeit, Johannes The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity. (English) Zbl 1325.74028 J. Elasticity 121, No. 2, 143-234 (2015). MSC: 74B20 74G65 35Q74 35E10 PDFBibTeX XMLCite \textit{P. Neff} et al., J. Elasticity 121, No. 2, 143--234 (2015; Zbl 1325.74028) Full Text: DOI arXiv
Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. (English) Zbl 1320.74022 Z. Angew. Math. Phys. 66, No. 4, 1671-1693 (2015). MSC: 74B20 74G65 35Q74 35E10 PDFBibTeX XMLCite \textit{P. Neff} et al., Z. Angew. Math. Phys. 66, No. 4, 1671--1693 (2015; Zbl 1320.74022) Full Text: DOI arXiv
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Madeo, Angela A unifying perspective: the relaxed linear micromorphic continuum. (English) Zbl 1341.74135 Contin. Mech. Thermodyn. 26, No. 5, 639-681 (2014). MSC: 74N15 74M25 PDFBibTeX XMLCite \textit{P. Neff} et al., Contin. Mech. Thermodyn. 26, No. 5, 639--681 (2014; Zbl 1341.74135) Full Text: DOI arXiv
Galeş, Cătălin; Ghiba, Ionel-Dumitrel On uniqueness and continuous dependence of solutions in viscoelastic mixtures. (English) Zbl 1258.74051 Meccanica 45, No. 6, 901-909 (2010). MSC: 74E30 74D05 74F10 74G30 74G40 PDFBibTeX XMLCite \textit{C. Galeş} and \textit{I.-D. Ghiba}, Meccanica 45, No. 6, 901--909 (2010; Zbl 1258.74051) Full Text: DOI
Chiriţă, Stan; Ghiba, Ionel-Dumitrel Inhomogeneous plane waves in elastic materials with voids. (English) Zbl 1231.35057 Wave Motion 47, No. 6, 333-342 (2010). MSC: 35J35 74J35 PDFBibTeX XMLCite \textit{S. Chiriţă} and \textit{I.-D. Ghiba}, Wave Motion 47, No. 6, 333--342 (2010; Zbl 1231.35057) Full Text: DOI
Ghiba, Ionel-Dumitrel Some uniqueness and stability results in the theory of micropolar solid-fluid mixture. (English) Zbl 1162.74014 J. Math. Anal. Appl. 355, No. 1, 385-396 (2009). MSC: 74F20 74H20 74H25 PDFBibTeX XMLCite \textit{I.-D. Ghiba}, J. Math. Anal. Appl. 355, No. 1, 385--396 (2009; Zbl 1162.74014) Full Text: DOI
Ghiba, Ionel-Dumitrel Asymptotic partition of energy in micropolar mixture theory of porous media. (English) Zbl 1163.74496 Meccanica 43, No. 6, 639-649 (2008). MSC: 74F20 74F10 74A35 PDFBibTeX XMLCite \textit{I.-D. Ghiba}, Meccanica 43, No. 6, 639--649 (2008; Zbl 1163.74496) Full Text: DOI
Ghiba, Ionel-Dumitrel Semi-inverse solution for Saint-Venant’s problem in the theory of porous elastic materials. (English) Zbl 1151.74354 Eur. J. Mech., A, Solids 27, No. 6, 1060-1074 (2008). MSC: 74G50 74F10 74G75 PDFBibTeX XMLCite \textit{I.-D. Ghiba}, Eur. J. Mech., A, Solids 27, No. 6, 1060--1074 (2008; Zbl 1151.74354) Full Text: DOI