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 PDF BibTeX XML Cite \textit{A. Sky} et al., J. Comput. Appl. Math. 438, Article ID 115568, 32 p. (2024; Zbl 07756773) Full Text: DOI arXiv
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: 74A05 74A60 74B20 74G65 74K20 74K25 74Q05 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. J. Nebel} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023; Zbl 07761306) 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 07712909 J. Nonlinear Sci. 33, No. 5, Paper No. 70, 67 p. (2023). MSC: 74A05 74A60 74B20 74G65 74K20 74K25 74Q05 PDF BibTeX XML Cite \textit{M. M. Saem} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 70, 67 p. (2023; Zbl 07712909) 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 PDF BibTeX XML Cite \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; 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{D. Knees} et al., J. Math. Anal. Appl. 519, No. 2, Article ID 126806, 13 p. (2023; Zbl 1503.35219) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{M. V. d'Agostino} et al., Contin. Mech. Thermodyn. 34, No. 6, 1393--1431 (2022; Zbl 1514.74068) 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 PDF BibTeX XML Cite \textit{J. Schröder} et al., Comput. Mech. 70, No. 6, 1309--1333 (2022; Zbl 1509.74048) 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{G. Rizzi} et al., Math. Mech. Solids 27, No. 6, 1053--1068 (2022; Zbl 07601697) Full Text: DOI arXiv
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 07593246 J. Eng. Math. 136, Paper No. 5, 21 p. (2022). MSC: 82B21 65L60 81-XX 82-XX PDF BibTeX XML Cite \textit{A. Sky} et al., J. Eng. Math. 136, Paper No. 5, 21 p. (2022; Zbl 07593246) Full Text: DOI arXiv
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 07590569 J. Nonlinear Sci. 32, No. 6, Paper No. 77, 41 p. (2022). MSC: 74B20 74S05 PDF BibTeX XML Cite \textit{J. Voss} et al., J. Nonlinear Sci. 32, No. 6, Paper No. 77, 41 p. (2022; Zbl 07590569) 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 PDF BibTeX XML Cite \textit{G. Rizzi} et al., Math. Mech. Solids 27, No. 3, 507--553 (2022; Zbl 07590438) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{A. Sky} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022; Zbl 1507.74048) 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 PDF BibTeX XML Cite \textit{J. Voss} et al., J. Nonlinear Sci. 32, No. 5, Paper No. 76, 49 p. (2022; Zbl 1497.74004) Full Text: DOI
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 07583609 Wave Motion 113, Article ID 102920, 18 p. (2022). MSC: 74M05 35Q74 PDF BibTeX XML Cite \textit{G. Rizzi} et al., Wave Motion 113, Article ID 102920, 18 p. (2022; Zbl 07583609) 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 07508678 Wave Motion 110, Article ID 102898, 39 p. (2022). MSC: 74J15 35Q74 74H05 74J05 74M25 PDF BibTeX XML Cite \textit{H. Khan} et al., Wave Motion 110, Article ID 102898, 39 p. (2022; Zbl 07508678) 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 PDF BibTeX XML Cite \textit{J. Voss} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 356--381 (2022; Zbl 1497.49019) 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 PDF BibTeX XML Cite \textit{J. Voss} et al., in: Variational views in mechanics. Cham: Birkhäuser. 259--287 (2021; Zbl 1505.74015) 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 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., J. Elasticity 146, No. 1, 83--141 (2021; Zbl 1483.74062) 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 PDF BibTeX XML Cite \textit{S. Owczarek} et al., Math. Methods Appl. Sci. 44, No. 18, 13855--13865 (2021; Zbl 1479.35173) 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 PDF BibTeX XML Cite \textit{A. Sky} et al., Comput. Mech. 68, No. 1, 1--24 (2021; Zbl 1480.74291) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., Math. Methods Appl. Sci. 44, No. 2, 2040--2049 (2021; Zbl 1475.35336) 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{J. Voss} et al., J. Elasticity 143, No. 2, 301--335 (2021; Zbl 1465.74028) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{M. Shirani} et al., Q. J. Mech. Appl. Math. 73, No. 4, 293--303 (2020; Zbl 1502.74015) 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 PDF BibTeX XML Cite \textit{C. G. Böhmer} et al., J. Mech. Phys. Solids 134, Article ID 103753, 12 p. (2020; Zbl 1481.74046) 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 PDF BibTeX XML Cite \textit{R. J. Martin} et al., J. Nonlinear Sci. 30, No. 6, 2885--2923 (2020; Zbl 1475.74012) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{R. J. Martin} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2620--2631 (2020; Zbl 1462.74024) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., J. Elasticity 142, No. 2, 201--262 (2020; Zbl 1456.74116) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., Math. Mech. Solids 25, No. 5, 1060--1080 (2020; Zbl 1481.74008) 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 PDF BibTeX XML Cite \textit{F. Ebobisse} and \textit{P. Neff}, Math. Mech. Solids 25, No. 2, 129--159 (2020; Zbl 1446.74093) 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 PDF BibTeX XML Cite \textit{M. V. d'Agostino} et al., J. Elasticity 139, No. 2, 299--329 (2020; Zbl 1433.74009) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., J. Elasticity 139, No. 2, 269--298 (2020; Zbl 1433.74014) 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 PDF BibTeX XML Cite \textit{J. Voss} et al., J. Optim. Theory Appl. 184, No. 1, 226--249 (2020; Zbl 1431.74026) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{S. Owczarek} et al., Math. Mech. Solids 24, No. 10, 3200--3215 (2019; Zbl 07273362) 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 PDF BibTeX XML Cite \textit{K. Graban} et al., Math. Mech. Solids 24, No. 8, 2649--2660 (2019; Zbl 07254374) 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 PDF BibTeX XML Cite \textit{A. Aivaliotis} et al., Wave Motion 90, 99--120 (2019; Zbl 1465.74087) Full Text: DOI
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 PDF BibTeX XML Cite \textit{C. G. Böhmer} et al., Wave Motion 84, 110--124 (2019; Zbl 1465.74093) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{R. J. Martin} et al., Anal. Appl., Singap. 17, No. 3, 349--361 (2019; Zbl 1416.74018) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., SIAM J. Appl. Algebra Geom. 3, No. 1, 31--43 (2019; Zbl 1416.15023) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Madeo} et al., Math. Mech. Solids 23, No. 12, 1485--1506 (2018; Zbl 1430.74028) 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 PDF BibTeX XML Cite \textit{F. Ebobisse} et al., Q. J. Mech. Appl. Math. 71, No. 1, 99--124 (2018; Zbl 1459.74026) 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 PDF BibTeX XML Cite \textit{B. Nedjar} et al., Comput. Mech. 62, No. 4, 635--654 (2018; Zbl 1459.74179) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{J. Schröder} et al., Comput. Mech. 61, No. 6, 657--685 (2018; Zbl 1457.74028) 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 PDF BibTeX XML Cite \textit{L. A. Mihai} and \textit{P. Neff}, Math. Mech. Solids 23, No. 4, 606--616 (2018; Zbl 1395.74013) 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 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., J. Math. Pures Appl. (9) 116, 88--104 (2018; Zbl 1426.74047) 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 PDF BibTeX XML Cite \textit{I. Münch} and \textit{P. Neff}, Math. Mech. Solids 23, No. 1, 3--42 (2018; Zbl 1391.74032) 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 PDF BibTeX XML Cite \textit{A. Madeo} et al., J. Elasticity 130, No. 1, 59--83 (2018; Zbl 1387.74004) 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 PDF BibTeX XML Cite \textit{A. Madeo} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160722, 17 p. (2017; Zbl 1404.82039) 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{L. Borisov} et al., Linear Algebra Appl. 528, 124--146 (2017; Zbl 1400.26032) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., Adv. Struct. Mater. 69, 165--180 (2017; Zbl 1387.74020) 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 PDF BibTeX XML Cite \textit{A. Madeo} et al., Adv. Struct. Mater. 69, 89--105 (2017; Zbl 1387.74058) 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 PDF BibTeX XML Cite \textit{M. Bîrsan} and \textit{P. Neff}, Adv. Struct. Mater. 69, 13--30 (2017; Zbl 1387.74074) Full Text: DOI
Fischle, Andreas; Neff, Patrizio; Raabe, Dierk The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments. (English) Zbl 1392.74009 Z. Angew. Math. Phys. 68, No. 4, Paper No. 90, 30 p. (2017). MSC: 74A35 74A30 74B20 74E15 74G65 82D25 PDF BibTeX XML Cite \textit{A. Fischle} et al., Z. Angew. Math. Phys. 68, No. 4, Paper No. 90, 30 p. (2017; Zbl 1392.74009) Full Text: DOI arXiv
Fischle, Andreas; Neff, Patrizio Grioli’s theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotations. (English) Zbl 1386.74009 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 3, 573-600 (2017). MSC: 74A30 15A24 22E30 74A35 74B20 74G05 74G55 74G65 74N15 PDF BibTeX XML Cite \textit{A. Fischle} and \textit{P. Neff}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 3, 573--600 (2017; Zbl 1386.74009) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions. (English) Zbl 1371.74003 Math. Mech. Solids 22, No. 6, 1221-1266 (2017). MSC: 74A10 74A60 74B99 35Q74 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., Math. Mech. Solids 22, No. 6, 1221--1266 (2017; Zbl 1371.74003) Full Text: DOI arXiv
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case. (English) Zbl 1369.74016 Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 3, 571-597 (2017). MSC: 74B20 74G65 26B25 PDF BibTeX XML Cite \textit{R. J. Martin} et al., Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 3, 571--597 (2017; Zbl 1369.74016) Full Text: DOI arXiv
Neff, Patrizio; Mihai, L. Angela Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition. (English) Zbl 1368.74015 J. Elasticity 127, No. 2, 309-315 (2017). MSC: 74B20 74G65 26B25 PDF BibTeX XML Cite \textit{P. Neff} and \textit{L. A. Mihai}, J. Elasticity 127, No. 2, 309--315 (2017; Zbl 1368.74015) Full Text: DOI arXiv Link
Gao, David Yang; Neff, Patrizio; Roventa, Ionel; Thiel, Christian On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor. (English) Zbl 1368.74013 J. Elasticity 127, No. 2, 303-308 (2017). MSC: 74B20 74G65 26B25 PDF BibTeX XML Cite \textit{D. Y. Gao} et al., J. Elasticity 127, No. 2, 303--308 (2017; Zbl 1368.74013) Full Text: DOI arXiv
Lankeit, Johannes; Neff, Patrizio; Osterbrink, Frank Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers. (English) Zbl 1437.74002 Z. Angew. Math. Phys. 68, No. 1, Paper No. 11, 19 p. (2017). MSC: 74A35 74G65 74G22 PDF BibTeX XML Cite \textit{J. Lankeit} et al., Z. Angew. Math. Phys. 68, No. 1, Paper No. 11, 19 p. (2017; Zbl 1437.74002) 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 PDF BibTeX XML Cite \textit{A. Madeo} et al., J. Mech. Phys. Solids 95, 441--479 (2016; Zbl 1482.74103) Full Text: DOI arXiv
Böhmer, Christian G.; Neff, Patrizio; Seymenoğlu, Belgin Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity. (English) Zbl 1467.74012 Wave Motion 60, 158-165 (2016). MSC: 74B20 74J35 35C08 35Q74 PDF BibTeX XML Cite \textit{C. G. Böhmer} et al., Wave Motion 60, 158--165 (2016; Zbl 1467.74012) 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 PDF BibTeX XML Cite \textit{A. Madeo} et al., Eur. J. Mech., A, Solids 59, 294--322 (2016; Zbl 1406.74035) Full Text: DOI arXiv
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. (English) Zbl 1371.82126 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 472, No. 2190, Article ID 20160169, 21 p. (2016). MSC: 82D25 PDF BibTeX XML Cite \textit{A. Madeo} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 472, No. 2190, Article ID 20160169, 21 p. (2016; Zbl 1371.82126) Full Text: DOI arXiv
Neff, Patrizio; Münch, Ingo; Martin, Robert Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain. (English) Zbl 1379.74005 Math. Mech. Solids 21, No. 7, 856-911 (2016). MSC: 74B20 74A20 PDF BibTeX XML Cite \textit{P. Neff} et al., Math. Mech. Solids 21, No. 7, 856--911 (2016; Zbl 1379.74005) Full Text: DOI arXiv
Neff, Patrizio; Martin, Robert J. Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. (English) Zbl 1366.53028 J. Geom. Mech. 8, No. 3, 323-357 (2016). MSC: 53C22 53C30 PDF BibTeX XML Cite \textit{P. Neff} and \textit{R. J. Martin}, J. Geom. Mech. 8, No. 3, 323--357 (2016; Zbl 1366.53028) 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 PDF BibTeX XML Cite \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
Neff, Patrizio; Eidel, Bernhard; Martin, Robert J. Geometry of logarithmic strain measures in solid mechanics. (English) Zbl 1348.74039 Arch. Ration. Mech. Anal. 222, No. 2, 507-572 (2016). MSC: 74B10 74B20 PDF BibTeX XML Cite \textit{P. Neff} et al., Arch. Ration. Mech. Anal. 222, No. 2, 507--572 (2016; Zbl 1348.74039) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{O. Sander} et al., Comput. Mech. 57, No. 5, 817--841 (2016; Zbl 1382.74021) Full Text: DOI arXiv
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard Dev-Div- and Devsym-Devcurl-inequalities for incompatible square tensor fields with mixed boundary conditions. (English) Zbl 1337.35004 ESAIM, Control Optim. Calc. Var. 22, No. 1, 112-133 (2016). MSC: 35A23 35Q61 74C05 78A25 78A30 PDF BibTeX XML Cite \textit{S. Bauer} et al., ESAIM, Control Optim. Calc. Var. 22, No. 1, 112--133 (2016; Zbl 1337.35004) Full Text: DOI arXiv
Dannan, Fozi M.; Neff, Patrizio; Thiel, Christian On the sum of squared logarithms inequality and related inequalities. (English) Zbl 1339.26033 J. Math. Inequal. 10, No. 1, 1-17 (2016). MSC: 26D05 26D07 PDF BibTeX XML Cite \textit{F. M. Dannan} et al., J. Math. Inequal. 10, No. 1, 1--17 (2016; Zbl 1339.26033) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Martin, Robert J. An ellipticity domain for the distortional Hencky-logarithmic strain energy. (English) Zbl 1371.74042 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 471, No. 2184, Article ID 20150510, 16 p. (2015). MSC: 74B20 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 471, No. 2184, Article ID 20150510, 16 p. (2015; Zbl 1371.74042) Full Text: DOI arXiv
Martin, Robert J.; Neff, Patrizio Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices. (English) Zbl 1357.47092 Arch. Appl. Mech. 85, No. 12, 1761-1778 (2015). Reviewer: K. C. Sivakumar (Chennai) MSC: 47N50 47H05 15B48 74B20 35Q74 35E10 74G65 PDF BibTeX XML Cite \textit{R. J. Martin} and \textit{P. Neff}, Arch. Appl. Mech. 85, No. 12, 1761--1778 (2015; Zbl 1357.47092) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., Math. Mech. Solids 20, No. 10, 1171--1197 (2015; Zbl 1338.74007) Full Text: DOI arXiv
Madeo, Angela; Della Corte, Alessandro; Greco, Leopoldo; Neff, Patrizio Wave propagation in pantographic 2D lattices with internal discontinuities. (English) Zbl 1330.35440 Proc. Est. Acad. Sci. 64, No. 3S, 325-330 (2015). MSC: 35Q74 74K10 PDF BibTeX XML Cite \textit{A. Madeo} et al., Proc. Est. Acad. Sci. 64, No. 3S, 325--330 (2015; Zbl 1330.35440) 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 PDF BibTeX XML Cite \textit{A. Madeo} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880--887 (2015; Zbl 1326.74106) Full Text: DOI arXiv
Kraynyukova, N.; Nesenenko, S.; Neff, P.; Chełmiński, K. Well-posedness for dislocation based gradient visco-plasticity with isotropic hardening. (English) Zbl 1330.74032 Nonlinear Anal., Real World Appl. 25, 96-111 (2015). MSC: 74C05 35Q74 35B30 PDF BibTeX XML Cite \textit{N. Kraynyukova} et al., Nonlinear Anal., Real World Appl. 25, 96--111 (2015; Zbl 1330.74032) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., J. Elasticity 121, No. 2, 143--234 (2015; Zbl 1325.74028) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., J. Elasticity 121, No. 1, 119--141 (2015; Zbl 1327.74035) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., Z. Angew. Math. Phys. 66, No. 4, 1671--1693 (2015; Zbl 1320.74022) Full Text: DOI arXiv
Neff, P.; Ghiba, I. D.; Lazar, M.; Madeo, A. The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations. (English) Zbl 1310.74037 Q. J. Mech. Appl. Math. 68, No. 1, 53-84 (2015). MSC: 74M25 35Q74 74B05 PDF BibTeX XML Cite \textit{P. Neff} et al., Q. J. Mech. Appl. Math. 68, No. 1, 53--84 (2015; Zbl 1310.74037) Full Text: DOI arXiv
Pompe, Waldemar; Neff, Patrizio On the generalised sum of squared logarithms inequality. (English) Zbl 1312.26032 J. Inequal. Appl. 2015, Paper No. 101, 17 p. (2015). MSC: 26D05 26D07 PDF BibTeX XML Cite \textit{W. Pompe} and \textit{P. Neff}, J. Inequal. Appl. 2015, Paper No. 101, 17 p. (2015; Zbl 1312.26032) Full Text: DOI arXiv
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef Poincaré meets Korn via Maxwell: extending Korn’s first inequality to incompatible tensor fields. (English) Zbl 1310.35012 J. Differ. Equations 258, No. 4, 1267-1302 (2015). MSC: 35A23 35B45 35Q61 PDF BibTeX XML Cite \textit{P. Neff} et al., J. Differ. Equations 258, No. 4, 1267--1302 (2015; Zbl 1310.35012) Full Text: DOI arXiv
Chełmiński, Krzysztof; Neff, Patrizio; Owczarek, Sebastian A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects. (English) Zbl 1372.74014 J. Math. Anal. Appl. 423, No. 1, 283-304 (2015). MSC: 74C05 74H25 74H30 35B65 35Q74 PDF BibTeX XML Cite \textit{K. Chełmiński} et al., J. Math. Anal. Appl. 423, No. 1, 283--304 (2015; Zbl 1372.74014) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Bîrsan} and \textit{P. Neff}, Int. J. Eng. Sci. 80, 32--42 (2014; Zbl 1423.74565) 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 PDF BibTeX XML Cite \textit{P. Neff} et al., Contin. Mech. Thermodyn. 26, No. 5, 639--681 (2014; Zbl 1341.74135) Full Text: DOI arXiv
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef On an extension of the first Korn inequality to incompatible tensor fields on domains of arbitrary dimensions. (English) Zbl 1326.35012 Fitzgibbon, William (ed.) et al., Modeling, simulation and optimization for science and technology. Selected contributions based on the presentations at the conferences “Optimization and PDE’s with industrial applications”, Jyväskylä, Finland, June, 2012 on the occasion of the 70th birthday of Jaques Périaux and “Optimization and PDE’s with application”, Jyväskylä, Finland, June, 2012 on the occasion of the 75th birthday of Roland Glowinski. Dordrecht: Springer (ISBN 978-94-017-9053-6/hbk; 978-94-017-9054-3/ebook). Computational Methods in Applied Sciences 34, 139-159 (2014). MSC: 35A23 26D10 PDF BibTeX XML Cite \textit{P. Neff} et al., Comput. Methods Appl. Sci. 34, 139--159 (2014; Zbl 1326.35012) Full Text: DOI arXiv
Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. (English) Zbl 1309.15016 SIAM J. Matrix Anal. Appl. 35, No. 3, 1132-1154 (2014). Reviewer: Mihail Voicu (Iaşi) MSC: 15A16 15A18 15A24 15A45 15A23 15A60 PDF BibTeX XML Cite \textit{P. Neff} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 1132--1154 (2014; Zbl 1309.15016) Full Text: DOI arXiv Link
Neff, Patrizio; Pompe, Waldemar Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn’s second inequality. (English) Zbl 1318.46024 ZAMM, Z. Angew. Math. Mech. 94, No. 9, 784-790 (2014). MSC: 46E35 35Q74 35B45 35J47 PDF BibTeX XML Cite \textit{P. Neff} and \textit{W. Pompe}, ZAMM, Z. Angew. Math. Mech. 94, No. 9, 784--790 (2014; Zbl 1318.46024) 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 PDF BibTeX XML Cite \textit{M. Bîrsan} and \textit{P. Neff}, Math. Mech. Solids 19, No. 4, 376--397 (2014; Zbl 1364.74060) Full Text: DOI arXiv