Rizzi, Gianluca; d’Agostino, Marco Valerio; Voss, Jendrik; Bernardini, Davide; Neff, Patrizio; Madeo, Angela From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials. (English) Zbl 07867705 Eur. J. Mech., A, Solids 106, Article ID 105269, 31 p. (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio Korn-Maxwell-Sobolev inequalities for general incompatibilities. (English) Zbl 1541.35015 Math. Models Methods Appl. Sci. 34, No. 3, 523-570 (2024). MSC: 35A23 26D10 35Q74 35Q75 46E35 × Cite Format Result Cite Review PDF 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. (English) Zbl 1539.74026 Comput. Methods Appl. Mech. Eng. 425, Article ID 116944, 24 p. (2024). MSC: 74A40 74Q15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 1539.74475 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116494, 28 p. (2024). MSC: 74S05 65N30 35A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sky, Adam; Muench, Ingo; Rizzi, Gianluca; Neff, Patrizio Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model. (English) Zbl 07756773 J. Comput. Appl. Math. 438, Article ID 115568, 32 p. (2024). MSC: 65Nxx 74Axx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neff, Patrizio; Holthausen, Sebastian; d’Agostino, Marco Valerio; Bernardini, Davide; Sky, Adam; Ghiba, Ionel-Dumitrel; Martin, Robert J. Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain. arXiv:2409.20051 Preprint, arXiv:2409.20051 [math.AP] (2024). MSC: 15A24 73G05 73G99 74B20 × Cite Format Result Cite Full Text: arXiv OA License
Neff, Patrizio; Holthause, Sebastian; Korobeynikov, Sergey N.; Ghiba, Ionel-Dumitrel; Martin, Robert J. A natural requirement for objective corotational rates – on structure preserving corotational rates. arXiv:2409.19707 Preprint, arXiv:2409.19707 [math.AP] (2024). MSC: 15A24 73G05 73G99 74B20 × Cite Format Result Cite Full Text: arXiv OA License
d’Agostino, Marco Valerio; Holthausen, Sebastian; Bernardini, Davide; Sky, Adam; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain. arXiv:2409.01811 Preprint, arXiv:2409.01811 [math.AP] (2024). MSC: 15A24 73G05 73G99 74B20 × Cite Format Result Cite Full Text: arXiv OA License
Ghiba, Ionel-Dumitrel; Gmeineder, Franz; Holthausen, Sebastian; Martin, Robert J.; Neff, Patrizio The Biot stress – right stretch relation for the compressible Neo-Hooke-Ciarlet-Geymonat model and Rivlin’s cube problem. arXiv:2408.03821 Preprint, arXiv:2408.03821 [math.AP] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Sky, Adam; Hale, Jack S.; Zilian, Andreas; Bordas, Stéphane P. A.; Neff, Patrizio Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus. arXiv:2407.12515 Preprint, arXiv:2407.12515 [math.NA] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Voss, Jendrik; Gourgiotis, Panos; Lewintan, Peter; Sky, Adam; Neff, Patrizio Yet another best approximation isotropic elasticity tensor in plane strain. arXiv:2406.19914 Preprint, arXiv:2406.19914 [math.AP] (2024). MSC: 74A10 74B05 74M25 × Cite Format Result Cite Full Text: arXiv OA License
Sky, Adam; Neunteufel, Michael; Lewintan, Peter; Gourgiotis, Panos; Zilian, Andreas; Neff, Patrizio Novel \(H^\mathrm{dev}(\mathrm{Curl})\)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model. arXiv:2405.14849 Preprint, arXiv:2405.14849 [math.NA] (2024). × Cite Format Result Cite Full Text: arXiv OA License
Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio Global regularity for a physically nonlinear version of the relaxed micromorphic model on Lipschitz domains. arXiv:2403.17451 Preprint, arXiv:2403.17451 [math.AP] (2024). × Cite Format Result Cite 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). × Cite Format Result Cite Full Text: arXiv OA License
Keane, Andrew; Neff, Alannah; Blaha, Karen; Amann, Andreas; Hövel, Philipp Transitional cluster dynamics in a model for delay-coupled chemical oscillators. (English) Zbl 07858607 Chaos 33, No. 6, 063133, 14 p. (2023). MSC: 34C15 34D06 70K55 70K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarhil, Mohammad; Scheunemann, Lisa; Schröder, Jörg; Neff, Patrizio Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model. (English) Zbl 1528.74061 Comput. Mech. 72, No. 5, 1091-1113 (2023). MSC: 74K10 74E30 74Q05 74B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 1530.74049 J. Elasticity 154, No. 1-4, 579-605 (2023). MSC: 74K25 74B05 74G10 74G22 74G30 74A35 35Q74 × Cite Format Result Cite Review PDF 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 1536.74269 Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023). MSC: 74S05 65N30 74K25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio A local regularity result for the relaxed micromorphic model based on inner variations. (English) Zbl 1503.35219 J. Math. Anal. Appl. 519, No. 2, Article ID 126806, 13 p. (2023). MSC: 35Q61 35Q74 78A25 74B05 74F15 74M25 35J86 65N06 74M20 × Cite Format Result Cite Review PDF 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). × Cite Format Result Cite 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). × Cite Format Result Cite Full Text: DOI arXiv OA License
Bulgariu, Emilian; Ghiba, Ionel-Dumitrel; Khan, Hassam; Neff, Patrizio Rayleigh waves in isotropic elastic materials with micro-voids. arXiv:2309.16147 Preprint, arXiv:2309.16147 [math.AP] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Saem, Maryam Mohammadi; Bulgariu, Emilian; Ghiba, Ionel-Dumitrel; Neff, Patrizio Explicit formula for the Gamma-convergence homogenized quadratic curvature energy in isotropic Cosserat shell models. arXiv:2309.06032 Preprint, arXiv:2309.06032 [math.AP] (2023). × Cite Format Result Cite Full Text: arXiv OA License
Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio A global higher regularity result for the static relaxed micromorphic model on smooth domains. arXiv:2307.02621 Preprint, arXiv:2307.02621 [math.AP] (2023). MSC: 35Q74 35B65 49N60 74A35 74G40 × Cite Format Result Cite Full Text: DOI arXiv OA License
Blesgen, Thomas; Neff, Patrizio The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity. arXiv:2302.09410 Preprint, arXiv:2302.09410 [math.AP] (2023). MSC: 35A15 74B20 × Cite Format Result Cite Full Text: 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schröder, Jörg; Sarhil, Mohammad; Scheunemann, Lisa; Neff, Patrizio Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model. (English) Zbl 1509.74048 Comput. Mech. 70, No. 6, 1309-1333 (2022). MSC: 74S05 74E30 74M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Rizzi, Gianluca; D’Agostino, Marco Valerio; Neff, Patrizio; Madeo, Angela Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control. (English) Zbl 07601697 Math. Mech. Solids 27, No. 6, 1053-1068 (2022). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sky, Adam; Muench, Ingo; Neff, Patrizio On \([H^1]^{3\times 3}, [H(\text{curl})]^3\) and \(H(\text{sym Curl})\) finite elements for matrix-valued curl problems. (English) Zbl 1524.65859 J. Eng. Math. 136, Paper No. 5, 21 p. (2022). MSC: 65N30 35A15 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Voss, Jendrik; Martin, Robert J.; Sander, Oliver; Kumar, Siddhant; Kochmann, Dennis M.; Neff, Patrizio Numerical approaches for investigating quasiconvexity in the context of Morrey’s conjecture. (English) Zbl 1540.74019 J. Nonlinear Sci. 32, No. 6, Paper No. 77, 41 p. (2022). MSC: 74B20 74S05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Sky, Adam; Neunteufel, Michael; Muench, Ingo; Schöberl, Joachim; Neff, Patrizio Primal and mixed finite element formulations for the relaxed micromorphic model. (English) Zbl 1507.74048 Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022). MSC: 74A60 74S05 65N30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Rizzi, Gianluca; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela Towards the conception of complex engineering meta-structures: relaxed-micromorphic modelling of low-frequency mechanical diodes/high-frequency screens. (English) Zbl 1524.74357 Wave Motion 113, Article ID 102920, 18 p. (2022). MSC: 74M05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Voss, Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio A rank-one convex, nonpolyconvex isotropic function on \(\text{GL}^{\!+}(2)\) with compact connected sublevel sets. (English) Zbl 1497.49019 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 356-381 (2022). MSC: 49J45 49K10 26B25 26A51 74B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gastel, Andreas; Neff, Patrizio Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvature. arXiv:2211.10645 Preprint, arXiv:2211.10645 [math.AP] (2022). MSC: 58E20 74G40 74B20 35J35 × Cite Format Result Cite Full Text: arXiv OA License
Blesgen, Thomas; Neff, Patrizio Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations and occurrence of microstructure. arXiv:2206.08134 Preprint, arXiv:2206.08134 [math.AP] (2022). × Cite Format Result Cite Full Text: arXiv OA License
Ghiba, Ionel-Dumitrel; Rizzi, Gianluca; Madeo, Angela; Neff, Patrizio Cosserat micropolar elasticity: classical Eringen vs. dislocation form. arXiv:2206.02473 Preprint, arXiv:2206.02473 [math-ph] (2022). × Cite Format Result Cite Full Text: arXiv OA License
Rizzi, Gianluca; Hütter, Geralf; Madeo, Angela; Neff, Patrizio Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua. (English) Zbl 1537.74245 Contin. Mech. Thermodyn. 33, No. 4, 1505-1539 (2021). MSC: 74K20 74M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Voss, Jendrik; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio Anti-plane shear in hyperelasticity. (English) Zbl 1505.74015 Mariano, Paolo Maria (ed.), Variational views in mechanics. Cham: Birkhäuser. Adv. Mech. Math., 259-287 (2021). MSC: 74B20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; Neff, Patrizio A note on local higher regularity in the dynamic linear relaxed micromorphic model. (English) Zbl 1479.35173 Math. Methods Appl. Sci. 44, No. 18, 13855-13865 (2021). MSC: 35B65 35G46 35Q74 74H20 74M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sky, Adam; Neunteufel, Michael; Münch, Ingo; Schöberl, Joachim; Neff, Patrizio A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear. (English) Zbl 1480.74291 Comput. Mech. 68, No. 1, 1-24 (2021). MSC: 74S05 74A20 74A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Owczarek, Sebastian Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model. (English) Zbl 1475.35336 Math. Methods Appl. Sci. 44, No. 2, 2040-2049 (2021). MSC: 35Q74 35M33 74H20 74M25 74B99 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio Morrey’s conjecture for the planar volumetric-isochoric split. Part I: least convex energy functions. arXiv:2106.11887 Preprint, arXiv:2106.11887 [math.AP] (2021). MSC: 74B20 74A10 26B25 × Cite Format Result Cite Full Text: arXiv OA License
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 × Cite Format Result Cite Full Text: DOI arXiv OA License
Shirani, Milad; Steigmann, David J.; Neff, Patrizio The Legendre-Hadamard condition in Cosserat elasticity theory. (English) Zbl 1502.74015 Q. J. Mech. Appl. Math. 73, No. 4, 293-303 (2020). MSC: 74B99 74A35 74G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio Chirality in the plane. (English) Zbl 1481.74046 J. Mech. Phys. Solids 134, Article ID 103753, 12 p. (2020). MSC: 74A35 74J35 74J30 74A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Robert J.; Voss, Jendrik; Ghiba, Ionel-Dumitrel; Sander, Oliver; Neff, Patrizio The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity. (English) Zbl 1475.74012 J. Nonlinear Sci. 30, No. 6, 2885-2923 (2020). Reviewer: Alexandre Danescu (Lyon) MSC: 74B20 74G65 30C62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Martin, Robert J.; Voss, Jendrik; Neff, Patrizio; Ghiba, Ionel-Dumitrel Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity. (English) Zbl 1462.74024 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2620-2631 (2020). Reviewer: Alexandre Danescu (Lyon) MSC: 74B20 74A20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J. The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’. (English) Zbl 1481.74008 Math. Mech. Solids 25, No. 5, 1060-1080 (2020). MSC: 74-03 74A10 74A05 74B20 01A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ebobisse, François; Neff, Patrizio A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. (English) Zbl 1446.74093 Math. Mech. Solids 25, No. 2, 129-159 (2020). MSC: 74C05 74E15 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neff, Patrizio; Eidel, Bernhard; d’Agostino, Marco Valerio; Madeo, Angela Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization. (English) Zbl 1433.74014 J. Elasticity 139, No. 2, 269-298 (2020). MSC: 74A30 74Q15 74A35 74A60 74B05 74M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Voss, Jendrik; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio More on anti-plane shear. (English) Zbl 1431.74026 J. Optim. Theory Appl. 184, No. 1, 226-249 (2020). MSC: 74B20 74A20 74A10 35Q74 49S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Robert J.; Voss, Jendrik; Ghiba, Ionel-Dumitrel; Neff, Patrizio Rank-one convexity vs. ellipticity for isotropic functions. arXiv:2008.11631 Preprint, arXiv:2008.11631 [math.AP] (2020). MSC: 74B20 26B25 × Cite Format Result Cite Full Text: arXiv OA License
Ebobisse, François; Hackl, Klaus; Neff, Patrizio A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector. (English) Zbl 1540.74107 Contin. Mech. Thermodyn. 31, No. 5, 1477-1502 (2019). MSC: 74N99 74C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borisov, Lev; Fischle, Andreas; Neff, Patrizio Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices. (English) Zbl 1538.74010 ZAMM, Z. Angew. Math. Mech. 99, No. 6, Article ID e201800120, 26 p. (2019). MSC: 74A35 15A24 74B20 15A18 15A45 74S25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graban, Kai; Schweickert, Eva; Martin, Robert J.; Neff, Patrizio A commented translation of Hans Richter’s early work “The isotropic law of elasticity”. (English) Zbl 07254374 Math. Mech. Solids 24, No. 8, 2649-2660 (2019). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aivaliotis, Alexios; Daouadji, Ali; Barbagallo, Gabriele; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface. (English) Zbl 1465.74087 Wave Motion 90, 99-120 (2019). MSC: 74J15 74J20 74M25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations. (English) Zbl 1465.74093 Wave Motion 84, 110-124 (2019). MSC: 74J35 74A35 74J30 74B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio A polyconvex extension of the logarithmic Hencky strain energy. (English) Zbl 1416.74018 Anal. Appl., Singap. 17, No. 3, 349-361 (2019). MSC: 74B20 74G65 26B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neff, Patrizio; Fischle, Andreas; Borisov, Lev Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square. (English) Zbl 1416.15023 SIAM J. Appl. Algebra Geom. 3, No. 1, 31-43 (2019). Reviewer: Adriana Nicolae (Cluj-Napoca) MSC: 15B10 51K05 15A24 22E30 26C10 × Cite Format Result Cite Review PDF Full Text: DOI
Schweickert, Eva; Mihai, L. Angela; Martin, Robert J.; Neff, Patrizio A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity. arXiv:1904.11358 Preprint, arXiv:1904.11358 [math.AP] (2019). × Cite Format Result Cite Full Text: DOI arXiv OA License
Madeo, Angela; Barbagallo, Gabriele; Collet, Manuel; D’Agostino, Marco Valerio; Miniaci, Marco; Neff, Patrizio Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: new perspectives towards metastructural design. (English) Zbl 1430.74028 Math. Mech. Solids 23, No. 12, 1485-1506 (2018). MSC: 74E30 74J20 74M25 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ebobisse, François; Neff, Patrizio; Aifantis, Elias C. Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening. (English) Zbl 1459.74026 Q. J. Mech. Appl. Math. 71, No. 1, 99-124 (2018). MSC: 74C15 74E15 35Q74 49J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nedjar, Boumediene; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes. (English) Zbl 1459.74179 Comput. Mech. 62, No. 4, 635-654 (2018). MSC: 74S05 74B15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Schröder, Jörg; von Hoegen, Markus; Neff, Patrizio The exponentiated Hencky energy: anisotropic extension and case studies. (English) Zbl 1457.74028 Comput. Mech. 61, No. 6, 657-685 (2018). MSC: 74B20 74E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mihai, L. Angela; Neff, Patrizio Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations. (English) Zbl 1395.74013 Math. Mech. Solids 23, No. 4, 606-616 (2018). MSC: 74B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity. (English. French summary) Zbl 1426.74047 J. Math. Pures Appl. (9) 116, 88-104 (2018). Reviewer: Hilmi Demiray (Istanbul) MSC: 74B20 74G65 26B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Münch, Ingo; Neff, Patrizio Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy. (English) Zbl 1391.74032 Math. Mech. Solids 23, No. 1, 3-42 (2018). MSC: 74B20 74B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Madeo, Angela; Collet, Manuel; Miniaci, Marco; Billon, Kévin; Ouisse, Morvan; Neff, Patrizio Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia. (English) Zbl 1387.74004 J. Elasticity 130, No. 1, 59-83 (2018). MSC: 74A10 74A30 74A60 74E15 74M25 74Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Thiel, Christian; Voss, Jendrik; Martin, Robert J.; Neff, Patrizio Do we need Truesdell’s empirical inequalities? On the coaxiality of stress and stretch. arXiv:1812.03053 Preprint, arXiv:1812.03053 [math.AP] (2018). MSC: 74B20 74A20 74A10 × Cite Format Result Cite Full Text: DOI arXiv OA License
Khurana, Aarti; Bala, Suman; Khan, Hassam; Tumar, Sushil K; Neff, Patrizio On the dispersion of waves for the linear thermoelastic relaxed micromorphic model. arXiv:1811.05878 Preprint, arXiv:1811.05878 [math.AP] (2018). MSC: 74A30 74A60 74Q15 × Cite Format Result Cite Full Text: DOI arXiv OA License
Aivaliotis, Alexios; Daouadji, Ali; Barbagallo, Gabriele; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interface. arXiv:1810.12578 Preprint, arXiv:1810.12578 [physics.class-ph] (2018). × Cite Format Result Cite Full Text: arXiv OA License
Thiel, Christian; Voss, Jendrik; Martin, Robert J.; Neff, Patrizio Shear, pure and simple. arXiv:1806.07749 Preprint, arXiv:1806.07749 [math.AP] (2018). MSC: 74B20 74A20 74A10 × Cite Format Result Cite Full Text: DOI arXiv OA License
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: 74A30 74A35 74B20 74G05 74G65 74N15 × Cite Format Result Cite Review PDF 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: 74A30 74A35 74B20 74G05 74G65 74N15 × Cite Format Result Cite Review PDF 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 1538.74002 ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1524-1554 (2017). MSC: 74A10 74A35 74B05 × Cite Format Result Cite Review PDF 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 1538.74001 ZAMM, Z. Angew. Math. Mech. 97, No. 11, 1436-1481 (2017). MSC: 74A10 74A30 74A35 74A60 74B05 74M25 74Q15 74J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio On the role of micro-inertia in enriched continuum mechanics. (English) Zbl 1404.82039 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160722, 17 p. (2017). MSC: 82C21 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borisov, Lev; Neff, Patrizio; Sra, Suvrit; Thiel, Christian The sum of squared logarithms inequality in arbitrary dimensions. (English) Zbl 1400.26032 Linear Algebra Appl. 528, 124-146 (2017). MSC: 26D05 26D07 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neff, Patrizio; Martin, Robert J.; Eidel, Bernhard New thoughts in nonlinear elasticity theory via Hencky’s logarithmic strain tensor. (English) Zbl 1387.74020 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, 165-180 (2017). MSC: 74B20 74A05 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI