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Author ID: neff.patrizio Recent zbMATH articles by "Neff, Patrizio"
Published as: Neff, Patrizio; Neff, P.
Homepage: https://www.uni-due.de/mathematik/ag_neff/neff
External Links: MGP · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND
all top 5

Co-Authors

19 single-authored
50 Ghiba, Ionel-Dumitrel
34 Madeo, Angela
30 Martin, Robert J.
21 Münch, Ingo
17 Lewintan, Peter
16 Bîrsan, Mircea
14 d’Agostino, Marco Valerio
12 Voss, Jendrik
11 Barbagallo, Gabriele
11 Chełmiński, Krzysztof
10 Fischle, Andreas
10 Pauly, Dirk
10 Schröder, Jörg
9 Lankeit, Johannes
8 Jeong, Jena
8 Owczarek, Sebastian
8 Rizzi, Gianluca
7 Sky, Adam
6 Ebobisse, François Bille
6 Witsch, Karl Josef
5 Eidel, Bernhard
5 Khan, Hassam
5 Thiel, Christian
5 Wieners, Christian
4 Baaser, Herbert
4 Böhmer, Christian G.
4 Mihai, L. Angela
4 Placidi, Luca
4 Ramézani, Hamidréza
4 Rosi, Giuseppe A.
4 Sander, Oliver
3 Borisov, Lev A.
3 Ebbing, V.
3 Klawonn, Axel
3 Knees, Dorothee
3 Müller, Wolfgang
3 Nesenenko, Sergiy
3 Neunteufel, Michael
3 Osterbrink, Frank
3 Rheinbach, Oliver
3 Saem, Maryam Mohammadi
3 Sarhil, Mohammad
3 Scheunemann, Lisa
3 Schweickert, Eva
3 Tallarico, Domenico
3 Wagner, Werner
2 Abreu, Rafael dos Reis
2 Aifantis, Elias C.
2 Aivaliotis, Alexios
2 Alber, Hans-Dieter
2 Balzani, Daniel
2 Bauer, Sebastian
2 Bernardini, Davide
2 Blesgen, Thomas
2 Bulgariu, Emilian
2 Collet, Manuel
2 Daouadji, Ali
2 Forest, Samuel
2 Gmeineder, Franz
2 Graban, Kai
2 Hütter, Geralf
2 Lee, Yongjo
2 Miniaci, Marco
2 Nakatsukasa, Yuji
2 Pompe, Waldemar
2 Schöberl, Joachim
2 Starke, Gerhard
2 Steigmann, David J.
2 Vanis, Stefanie
1 Bahamonde, Sebastian
1 Bala, Suman
1 Beyrouthy, Joëlle
1 Billon, Kévin
1 Danescu, Alexandre
1 Dannan, Fozi Mustafa
1 Della Corte, Alessandro
1 Gao, David Yang
1 Gastel, Andreas
1 Gourgiotis, Panos A.
1 Govindjee, Sanjay
1 Greco, Leopoldo
1 Hackl, Klaus
1 Hartmann, Stefan
1 Holzapfel, Gerhard Alfred
1 Hong, Kwon-Il
1 Khurana, Aarti
1 Kochmann, Dennis M.
1 Kraynyukova, Nataliya
1 Kumar, Siddhant
1 Lazar, Markus
1 Lehmich, Stephan
1 Lew, Adrian J.
1 Menzel, Andreas M.
1 Merodio, Jose
1 Müller, Stefan
1 Nebel, Lisa Julia
1 Nedjar, Boumediene
1 Ortiz, Michael
1 Ouisse, Morvan
1 Raabe, Dierk
...and 12 more Co-Authors
all top 5

Serials

18 Mathematics and Mechanics of Solids
14 Journal of Elasticity
14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Continuum Mechanics and Thermodynamics
8 PAMM. Proceedings in Applied Mathematics and Mechanics
7 Computational Mechanics
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 International Journal of Solids and Structures
5 Mathematical Methods in the Applied Sciences
5 Wave Motion
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal of Nonlinear Science
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 International Journal of Engineering Science
3 Journal of the Mechanics and Physics of Solids
3 Quarterly Journal of Mechanics and Applied Mathematics
3 GAMM-Mitteilungen
2 Acta Mechanica
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Analysis and Applications
2 International Journal for Numerical Methods in Engineering
2 Journal of Differential Equations
2 Quarterly of Applied Mathematics
2 Linear Algebra and its Applications
2 SIAM Journal on Mathematical Analysis
2 Archive of Applied Mechanics
2 Calculus of Variations and Partial Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Inequalities and Applications
1 Archives of Mechanics
1 Archive for Rational Mechanics and Analysis
1 Journal of Engineering Mathematics
1 Annales Polonici Mathematici
1 Applied Mathematics and Optimization
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 SIAM Journal on Matrix Analysis and Applications
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Mathematical Sciences (New York)
1 Computing and Visualization in Science
1 European Journal of Mechanics. A. Solids
1 Interfaces and Free Boundaries
1 Nonlinear Analysis. Real World Applications
1 AMRX. Applied Mathematics Research eXpress
1 Analysis and Applications (Singapore)
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Mathematical Inequalities
1 Proceedings of the Estonian Academy of Sciences
1 Journal of Geometric Mechanics
1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications
1 Mathematics and Mechanics of Complex Systems
1 SIAM Journal on Applied Algebra and Geometry

Publications by Year

Citations contained in zbMATH Open

168 Publications have been cited 2,632 times in 796 Documents Cited by Year
Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. Zbl 1033.74005
Schröder, Jörg; Neff, Patrizio
125
2003
Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility. Zbl 1051.74539
Hartmann, Stefan; Neff, Patrizio
102
2003
A polyconvex framework for soft biological tissues. Adjustment to experimental data. Zbl 1120.74632
Balzani, D.; Neff, P.; Schröder, J.; Holzapfel, G. A.
86
2006
A unifying perspective: the relaxed linear micromorphic continuum. Zbl 1341.74135
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Madeo, Angela
71
2014
A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results. Zbl 1206.74019
Neff, Patrizio; Forest, Samuel
64
2007
A variational approach for materially stable anisotropic hyperelasticity. Zbl 1119.74321
Schröder, J.; Neff, P.; Balzani, D.
63
2005
Existence of minimizers for a finite-strain micromorphic elastic solid. Zbl 1106.74010
Neff, Patrizio
59
2006
The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric. Zbl 1104.74007
Neff, P.
57
2006
A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations. Zbl 1213.74032
Neff, Patrizio
54
2006
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. Zbl 1341.74085
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G.
51
2015
Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Zbl 1197.74009
Jeong, Jena; Neff, Patrizio
50
2010
A new paradigm: The linear isotropic Cosserat model with conformally invariant curvature energy. Zbl 1157.74002
Neff, Patrizio; Jeong, Jena
46
2009
A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus. Zbl 1158.74419
Neff, P.
44
2004
Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. Zbl 1115.74021
Lew, Adrian; Neff, Patrizio; Sulsky, Deborah; Ortiz, Michael
44
2004
A geometrically exact planar Cosserat shell model with microstructure: Existence of minimizers for zero Cosserat couple modulus. Zbl 1119.74029
Neff, Patrizio
43
2007
Curl bounds grad on \(\mathrm{SO}(3)\). Zbl 1139.74008
Neff, Patrizio; Münch, Ingo
43
2008
Poincaré meets Korn via Maxwell: extending Korn’s first inequality to incompatible tensor fields. Zbl 1310.35012
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef
42
2015
On Korn’s first inequality with non-constant coefficients. Zbl 1143.74311
Neff, Patrizio
40
2002
A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature. Zbl 1167.74004
Jeong, Jena; Ramézani, Hamidréza; Münch, Ingo; Neff, Patrizio
40
2009
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe
36
2015
Geometry of logarithmic strain measures in solid mechanics. Zbl 1348.74039
Neff, Patrizio; Eidel, Bernhard; Martin, Robert J.
36
2016
Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors. Zbl 1171.74356
Schröder, J.; Neff, P.; Ebbing, V.
33
2008
The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity. Zbl 1325.74028
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Lankeit, Johannes
32
2015
Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature. Zbl 1397.74011
Neff, Patrizio; Jeong, Jena; Fischle, Andreas
31
2010
Band gaps in the relaxed linear micromorphic continuum. Zbl 1326.74106
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe
30
2015
A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence. Zbl 1137.74014
Neff, Patrizio; Chełmiński, Krzyztof
30
2007
Maxwell meets Korn: a new coercive inequality for tensor fields in \(\mathbb R^{N \times N}\) with square-integrable exterior derivative. Zbl 1255.35220
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef
30
2012
Numerical approximation of incremental infinitesimal gradient plasticity. Zbl 1155.74316
Neff, Patrizio; Sydow, Antje; Wieners, Christian
29
2009
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations. Zbl 1310.74037
Neff, P.; Ghiba, I. D.; Lazar, M.; Madeo, A.
28
2015
Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity. Zbl 1176.74028
Neff, Patrizio; Jeong, Jena; Ramézani, Hamidréza
28
2009
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
26
2014
Notes on strain gradient plasticity: finite strain covariant modelling and global existence in the infinitesimal rate-independent case. Zbl 1160.74009
Neff, Patrizio; Chełmiński, Krzysztof; Alber, Hans-Dieter
26
2009
A canonical extension of Korn’s first inequality to H(Curl) motivated by gradient plasticity with plastic spin. Zbl 1234.35010
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef
25
2011
The Reissner-Mindlin plate is the \(\Gamma \)-limit of cosserat elasticity. Zbl 1253.74004
Neff, Patrizio; Hong, Kwon-Il; Jeong, Jena
24
2010
Dev-Div- and Devsym-Devcurl-inequalities for incompatible square tensor fields with mixed boundary conditions. Zbl 1337.35004
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
22
2016
Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom. Zbl 1139.74007
Neff, P.; Fischle, A.; Münch, I.
22
2008
Reflection and transmission of elastic waves in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model. Zbl 1482.74103
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Rosi, Giuseppe
22
2016
A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. Zbl 1309.15016
Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas
21
2014
On Grioli’s minimum property and its relation to Cauchy’s polar decomposition. Zbl 1423.74041
Neff, Patrizio; Lankeit, Johannes; Madeo, Angela
21
2014
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin. Zbl 1257.74023
Ebobisse, François; Neff, Patrizio
21
2010
A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model. Zbl 1406.74035
Madeo, Angela; Ghiba, Ionel-Dumitrel; Neff, Patrizio; Münch, Ingo
20
2016
The minimization of matrix logarithms: on a fundamental property of the unitary polar factor. Zbl 1302.15009
Lankeit, Johannes; Neff, Patrizio; Nakatsukasa, Yuji
19
2014
A numerical solution method for an infinitesimal elasto-plastic Cosserat model. Zbl 1137.74012
Neff, Patrizio; Chełmiński, Krzysztof; Müller, Wolfgang; Wieners, Christian
18
2007
Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity. Zbl 1193.35224
Neff, Patrizio; Knees, Dorothee
18
2008
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio
18
2016
Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements. Zbl 1327.74035
Neff, Patrizio; Bîrsan, Mircea; Osterbrink, Frank
17
2015
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. Zbl 1371.74003
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo
17
2017
Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation. Zbl 1072.74013
Neff, Patrizio
17
2005
Infinitesimal elastic-plastic Cosserat micropolar theory. Moselling and global existence in the rate-independent case. Zbl 1084.74004
Neff, Patrizio; Chełmiński, Krzysztof
17
2005
The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. Zbl 1320.74022
Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David
16
2015
Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel
16
2017
On constitutive and configurational aspects of models for gradient continua with microstructure. Zbl 1168.74007
Svendsen, B.; Neff, P.; Menzel, A.
16
2009
Mean field modeling of isotropic random Cauchy elasticity versus microstretch elasticity. Zbl 1169.74004
Neff, Patrizio; Jeong, Jena; Münch, Ingo; Ramezani, Hamid
16
2009
Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure. Zbl 1179.74011
Neff, Patrizio; Münch, Ingo
16
2009
Transversely isotropic material: nonlinear Cosserat versus classical approach. Zbl 1272.74105
Münch, I.; Neff, P.; Wagner, W.
15
2011
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization. Zbl 1433.74014
Neff, Patrizio; Eidel, Bernhard; d’Agostino, Marco Valerio; Madeo, Angela
15
2020
Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model. Zbl 1433.74009
d’Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Eidel, Bernhard; Neff, Patrizio; Madeo, Angela
15
2020
Finite multiplicative plasticity for small elastic strains with linear balance equations and grain boundary relaxation. Zbl 1035.74015
Neff, Patrizio
14
2003
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case. Zbl 1369.74016
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
13
2017
Numerical treatment of a geometrically nonlinear planar Cosserat shell model. Zbl 1382.74021
Sander, Oliver; Neff, Patrizio; Bîrsan, Mircea
13
2016
Local existence and uniqueness for a geometrically exact membrane-plate with viscoelastic transverse shear resistance. Zbl 1071.74034
Neff, Patrizio
13
2005
On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio
13
2017
Linear Cosserat elasticity, conformal curvature and bounded stiffness. Zbl 1396.74012
Neff, Patrizio; Jeong, Jena; Münch, Ingo; Ramézani, Hamidréza
12
2010
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
12
2021
Sum of squared logarithms – an inequality relating positive definite matrices and their matrix logarithm. Zbl 1284.26019
Bîrsan, Mircea; Neff, Patrizio; Lankeit, Johannes
11
2013
Wave propagation in pantographic 2D lattices with internal discontinuities. Zbl 1330.35440
Madeo, Angela; Della Corte, Alessandro; Greco, Leopoldo; Neff, Patrizio
11
2015
On the construction of polyconvex anisotropic free energy functions. Zbl 1037.74005
Schröder, J.; Neff, P.
11
2003
Comparison of models for finite plasticity: a numerical study. Zbl 1129.74303
Neff, Patrizio; Wieners, Christian
11
2003
Well-posedness for dislocation based gradient viscoplasticity. I: Subdifferential case. Zbl 1248.35003
Nesenenko, Sergiy; Neff, Patrizio
11
2012
Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates. Zbl 1267.74073
Bîrsan, Mircea; Neff, Patrizio
11
2013
A geometrically exact thin membrane model - investigation of large deformations and wrinkling. Zbl 1158.74410
Weinberg, Kerstin; Neff, Patrizio
11
2008
\(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions. Zbl 1465.35016
Lewintan, Peter; Neff, Patrizio
11
2021
Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface. Zbl 1465.74087
Aivaliotis, Alexios; Daouadji, Ali; Barbagallo, Gabriele; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela
11
2019
Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition. Zbl 1368.74015
Neff, Patrizio; Mihai, L. Angela
10
2017
Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn’s second inequality. Zbl 1318.46024
Neff, Patrizio; Pompe, Waldemar
10
2014
The exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticity. Zbl 1348.74053
Neff, Patrizio; Ghiba, Ionel-Dumitrel
10
2016
Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory. Zbl 1423.74565
Bîrsan, Mircea; Neff, Patrizio
10
2014
Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia. Zbl 1387.74004
Madeo, Angela; Collet, Manuel; Miniaci, Marco; Billon, Kévin; Ouisse, Morvan; Neff, Patrizio
10
2018
Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: new perspectives towards metastructural design. Zbl 1430.74028
Madeo, Angela; Barbagallo, Gabriele; Collet, Manuel; D’Agostino, Marco Valerio; Miniaci, Marco; Neff, Patrizio
10
2018
A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit. I: The viscoelastic membrane-plate. Zbl 1079.74039
Neff, Patrizio
10
2005
Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows. Zbl 1304.35175
Nesenenko, Sergiy; Neff, Patrizio
9
2013
Existence of minimizers for a geometrically exact Cosserat solid. Zbl 1354.74213
Neff, Patrizio
9
2004
Well-posedness of dynamic Cosserat plasticity. Zbl 1120.74006
Neff, Patrizio; Chelmínski, Krzysztof
9
2007
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes. Zbl 1459.74179
Nedjar, Boumediene; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio
9
2018
On material constants for micromorphic continua. Zbl 1080.74007
Neff, Patrizio
9
2005
Nečas-Lions lemma revisited: an \(L^{p}\)-version of the generalized Korn inequality for incompatible tensor fields. Zbl 1473.35015
Lewintan, Peter; Neff, Patrizio
9
2021
Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028
Neff, Patrizio; Martin, Robert J.
8
2016
New Poincaré-type inequalities. (Quelques inégalités de type Poincaré pour les champs de matrices quadratiques.) Zbl 1284.35017
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
8
2014
A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear. Zbl 1480.74291
Sky, Adam; Neunteufel, Michael; Münch, Ingo; Schöberl, Joachim; Neff, Patrizio
8
2021
\(H^1_{\text{loc}}\)-stress and strain regularity in Cosserat plasticity. Zbl 1160.74007
Chełmiński, Krzysztof; Neff, Patrizio
8
2009
The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects. Zbl 1440.74089
Chełmiński, Krzysztof; Neff, Patrizio; Owczarek, Sebastian
7
2014
A note on tensile instabilities and loss of ellipticity for a fiber-reinforced nonlinearly elastic solid. Zbl 1146.74011
Merodio, J.; Neff, P.
7
2006
Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies. Zbl 1264.74011
Ebbing, V.; Schröder, J.; Neff, P.
7
2009
Mathematical analysis of multiplicative viscoplasticity. (Mathematische Analyse multiplikativer Viskoplastizität.) Zbl 0970.74002
Neff, Patrizio
7
2000
Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity. Zbl 1426.74047
Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio
7
2018
On a canonical extension of Korn’s first and Poincaré’s inequalities to \(\mathsf{H}(\mathrm{Curl})\). Zbl 1308.35303
Neff, P.; Pauly, D.; Witsch, K.-J.
7
2012
The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers. Zbl 1456.49040
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
7
2020
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Zbl 07590438
Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio
7
2022
\(L^p\)-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.) Zbl 1472.35015
Lewintan, Peter; Neff, Patrizio
7
2021
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. Zbl 1446.74093
Ebobisse, François; Neff, Patrizio
7
2020
Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model. Zbl 07756773
Sky, Adam; Muench, Ingo; Rizzi, Gianluca; Neff, Patrizio
1
2024
A local regularity result for the relaxed micromorphic model based on inner variations. Zbl 1503.35219
Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio
3
2023
A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence. Zbl 1524.74008
Saem, Maryam Mohammadi; Ghiba, Ionel-Dumitrel; Neff, Patrizio
2
2023
Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions. Zbl 1518.35024
Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio
1
2023
Linear constrained Cosserat-shell models including terms up to \({O}(h^5)\): conditional and unconditional existence and uniqueness. Zbl 1509.74038
Ghiba, Ionel-Dumitrel; Neff, Patrizio
1
2023
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Zbl 07590438
Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio
7
2022
Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model. Zbl 1509.74048
Schröder, Jörg; Sarhil, Mohammad; Scheunemann, Lisa; Neff, Patrizio
4
2022
Primal and mixed finite element formulations for the relaxed micromorphic model. Zbl 1507.74048
Sky, Adam; Neunteufel, Michael; Muench, Ingo; Schöberl, Joachim; Neff, Patrizio
4
2022
Morrey’s conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions. Zbl 1497.74004
Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
2
2022
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control. Zbl 07601697
Rizzi, Gianluca; D’Agostino, Marco Valerio; Neff, Patrizio; Madeo, Angela
2
2022
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters. Zbl 1514.74068
d’Agostino, Marco Valerio; Rizzi, Gianluca; Khan, Hassam; Lewintan, Peter; Madeo, Angela; Neff, Patrizio
2
2022
Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects. Zbl 1524.74232
Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio
1
2022
\(L^p\)-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions. Zbl 1504.35015
Lewintan, Peter; Neff, Patrizio
1
2022
Towards the conception of complex engineering meta-structures: relaxed-micromorphic modelling of low-frequency mechanical diodes/high-frequency screens. Zbl 1524.74357
Rizzi, Gianluca; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela
1
2022
Numerical approaches for investigating quasiconvexity in the context of Morrey’s conjecture. Zbl 07590569
Voss, Jendrik; Martin, Robert J.; Sander, Oliver; Kumar, Siddhant; Kochmann, Dennis M.; Neff, Patrizio
1
2022
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
12
2021
\(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions. Zbl 1465.35016
Lewintan, Peter; Neff, Patrizio
11
2021
Nečas-Lions lemma revisited: an \(L^{p}\)-version of the generalized Korn inequality for incompatible tensor fields. Zbl 1473.35015
Lewintan, Peter; Neff, Patrizio
9
2021
A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear. Zbl 1480.74291
Sky, Adam; Neunteufel, Michael; Münch, Ingo; Schöberl, Joachim; Neff, Patrizio
8
2021
\(L^p\)-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.) Zbl 1472.35015
Lewintan, Peter; Neff, Patrizio
7
2021
A note on local higher regularity in the dynamic linear relaxed micromorphic model. Zbl 1479.35173
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; Neff, Patrizio
4
2021
Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model. Zbl 1475.35336
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Owczarek, Sebastian
4
2021
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. Zbl 1483.74062
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
3
2021
Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split. Zbl 1465.74028
Voss, Jendrik; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio
3
2021
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization. Zbl 1433.74014
Neff, Patrizio; Eidel, Bernhard; d’Agostino, Marco Valerio; Madeo, Angela
15
2020
Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model. Zbl 1433.74009
d’Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Eidel, Bernhard; Neff, Patrizio; Madeo, Angela
15
2020
The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers. Zbl 1456.49040
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
7
2020
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. Zbl 1446.74093
Ebobisse, François; Neff, Patrizio
7
2020
The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation. Zbl 1456.74116
Ghiba, Ionel-Dumitrel; Bîrsan, Mircea; Lewintan, Peter; Neff, Patrizio
6
2020
More on anti-plane shear. Zbl 1431.74026
Voss, Jendrik; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio
6
2020
The Legendre-Hadamard condition in Cosserat elasticity theory. Zbl 1502.74015
Shirani, Milad; Steigmann, David J.; Neff, Patrizio
3
2020
The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’. Zbl 1481.74008
Neff, Patrizio; Graban, Kai; Schweickert, Eva; Martin, Robert J.
3
2020
Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity. Zbl 1462.74024
Martin, Robert J.; Voss, Jendrik; Neff, Patrizio; Ghiba, Ionel-Dumitrel
2
2020
Chirality in the plane. Zbl 1481.74046
Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio
1
2020
The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity. Zbl 1475.74012
Martin, Robert J.; Voss, Jendrik; Ghiba, Ionel-Dumitrel; Sander, Oliver; Neff, Patrizio
1
2020
Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface. Zbl 1465.74087
Aivaliotis, Alexios; Daouadji, Ali; Barbagallo, Gabriele; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela
11
2019
Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square. Zbl 1416.15023
Neff, Patrizio; Fischle, Andreas; Borisov, Lev
5
2019
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature. Zbl 07273403
Bîrsan, Mircea; Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio
5
2019
Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations. Zbl 1465.74093
Böhmer, Christian G.; Lee, Yongjo; Neff, Patrizio
4
2019
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. Zbl 07273362
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; d’Agostino, Marco-Valerio; Neff, Patrizio
4
2019
A polyconvex extension of the logarithmic Hencky strain energy. Zbl 1416.74018
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
3
2019
A commented translation of Hans Richter’s early work “The isotropic law of elasticity”. Zbl 07254374
Graban, Kai; Schweickert, Eva; Martin, Robert J.; Neff, Patrizio
2
2019
Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia. Zbl 1387.74004
Madeo, Angela; Collet, Manuel; Miniaci, Marco; Billon, Kévin; Ouisse, Morvan; Neff, Patrizio
10
2018
Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: new perspectives towards metastructural design. Zbl 1430.74028
Madeo, Angela; Barbagallo, Gabriele; Collet, Manuel; D’Agostino, Marco Valerio; Miniaci, Marco; Neff, Patrizio
10
2018
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes. Zbl 1459.74179
Nedjar, Boumediene; Baaser, Herbert; Martin, Robert J.; Neff, Patrizio
9
2018
Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity. Zbl 1426.74047
Ghiba, Ionel-Dumitrel; Martin, Robert J.; Neff, Patrizio
7
2018
Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations. Zbl 1395.74013
Mihai, L. Angela; Neff, Patrizio
5
2018
The exponentiated Hencky energy: anisotropic extension and case studies. Zbl 1457.74028
Schröder, Jörg; von Hoegen, Markus; Neff, Patrizio
5
2018
Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy. Zbl 1391.74032
Münch, Ingo; Neff, Patrizio
5
2018
Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening. Zbl 1459.74026
Ebobisse, François; Neff, Patrizio; Aifantis, Elias C.
5
2018
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. Zbl 1371.74003
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Münch, Ingo
17
2017
Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel
16
2017
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case. Zbl 1369.74016
Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
13
2017
On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio
13
2017
Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition. Zbl 1368.74015
Neff, Patrizio; Mihai, L. Angela
10
2017
On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor. Zbl 1368.74013
Gao, David Yang; Neff, Patrizio; Roventa, Ionel; Thiel, Christian
6
2017
Grioli’s theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotations. Zbl 1386.74009
Fischle, Andreas; Neff, Patrizio
6
2017
The sum of squared logarithms inequality in arbitrary dimensions. Zbl 1400.26032
Borisov, Lev; Neff, Patrizio; Sra, Suvrit; Thiel, Christian
5
2017
Analysis of the deformation of Cosserat elastic shells using the dislocation density tensor. Zbl 1387.74074
Bîrsan, Mircea; Neff, Patrizio
5
2017
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers. Zbl 1437.74002
Lankeit, Johannes; Neff, Patrizio; Osterbrink, Frank
4
2017
A review on wave propagation modeling in band-gap metamaterials via enriched continuum models. Zbl 1387.74058
Madeo, Angela; Neff, Patrizio; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Ghiba, Ionel-Dumitrel
4
2017
The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments. Zbl 1392.74009
Fischle, Andreas; Neff, Patrizio; Raabe, Dierk
4
2017
The geometrically nonlinear Cosserat micropolar shear-stretch energy. I: A general parameter reduction formula and energy-minimizing microrotations in 2D. Zbl 07777518
Fischle, Andreas; Neff, Patrizio
1
2017
The geometrically nonlinear Cosserat micropolar shear-stretch energy. II: Non-classical energy-minimizing microrotations in 3D and their computational validation. Zbl 07777519
Fischle, Andreas; Neff, Patrizio
1
2017
Geometry of logarithmic strain measures in solid mechanics. Zbl 1348.74039
Neff, Patrizio; Eidel, Bernhard; Martin, Robert J.
36
2016
Dev-Div- and Devsym-Devcurl-inequalities for incompatible square tensor fields with mixed boundary conditions. Zbl 1337.35004
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
22
2016
Reflection and transmission of elastic waves in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model. Zbl 1482.74103
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Rosi, Giuseppe
22
2016
A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model. Zbl 1406.74035
Madeo, Angela; Ghiba, Ionel-Dumitrel; Neff, Patrizio; Münch, Ingo
20
2016
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio
18
2016
Numerical treatment of a geometrically nonlinear planar Cosserat shell model. Zbl 1382.74021
Sander, Oliver; Neff, Patrizio; Bîrsan, Mircea
13
2016
The exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticity. Zbl 1348.74053
Neff, Patrizio; Ghiba, Ionel-Dumitrel
10
2016
Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028
Neff, Patrizio; Martin, Robert J.
8
2016
Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain. Zbl 1379.74005
Neff, Patrizio; Münch, Ingo; Martin, Robert
5
2016
Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity. Zbl 1467.74012
Böhmer, Christian G.; Neff, Patrizio; Seymenoğlu, Belgin
4
2016
On the sum of squared logarithms inequality and related inequalities. Zbl 1339.26033
Dannan, Fozi M.; Neff, Patrizio; Thiel, Christian
3
2016
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. Zbl 1341.74085
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G.
51
2015
Poincaré meets Korn via Maxwell: extending Korn’s first inequality to incompatible tensor fields. Zbl 1310.35012
Neff, Patrizio; Pauly, Dirk; Witsch, Karl-Josef
42
2015
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe
36
2015
The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity. Zbl 1325.74028
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Lankeit, Johannes
32
2015
Band gaps in the relaxed linear micromorphic continuum. Zbl 1326.74106
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe
30
2015
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations. Zbl 1310.74037
Neff, P.; Ghiba, I. D.; Lazar, M.; Madeo, A.
28
2015
Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements. Zbl 1327.74035
Neff, Patrizio; Bîrsan, Mircea; Osterbrink, Frank
17
2015
The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. Zbl 1320.74022
Neff, Patrizio; Lankeit, Johannes; Ghiba, Ionel-Dumitrel; Martin, Robert; Steigmann, David
16
2015
Wave propagation in pantographic 2D lattices with internal discontinuities. Zbl 1330.35440
Madeo, Angela; Della Corte, Alessandro; Greco, Leopoldo; Neff, Patrizio
11
2015
On the generalised sum of squared logarithms inequality. Zbl 1312.26032
Pompe, Waldemar; Neff, Patrizio
5
2015
An ellipticity domain for the distortional Hencky-logarithmic strain energy. Zbl 1371.74042
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Martin, Robert J.
5
2015
A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects. Zbl 1372.74014
Chełmiński, Krzysztof; Neff, Patrizio; Owczarek, Sebastian
3
2015
Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices. Zbl 1357.47092
Martin, Robert J.; Neff, Patrizio
3
2015
Well-posedness for dislocation based gradient visco-plasticity with isotropic hardening. Zbl 1330.74032
Kraynyukova, N.; Nesenenko, S.; Neff, P.; Chełmiński, K.
1
2015
A unifying perspective: the relaxed linear micromorphic continuum. Zbl 1341.74135
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Madeo, Angela
71
2014
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations. Zbl 1364.74060
Bîrsan, Mircea; Neff, Patrizio
26
2014
A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. Zbl 1309.15016
Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas
21
2014
On Grioli’s minimum property and its relation to Cauchy’s polar decomposition. Zbl 1423.74041
Neff, Patrizio; Lankeit, Johannes; Madeo, Angela
21
2014
The minimization of matrix logarithms: on a fundamental property of the unitary polar factor. Zbl 1302.15009
Lankeit, Johannes; Neff, Patrizio; Nakatsukasa, Yuji
19
2014
Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn’s second inequality. Zbl 1318.46024
Neff, Patrizio; Pompe, Waldemar
10
2014
Shells without drilling rotations: a representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory. Zbl 1423.74565
Bîrsan, Mircea; Neff, Patrizio
10
2014
New Poincaré-type inequalities. (Quelques inégalités de type Poincaré pour les champs de matrices quadratiques.) Zbl 1284.35017
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard
8
2014
The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects. Zbl 1440.74089
Chełmiński, Krzysztof; Neff, Patrizio; Owczarek, Sebastian
7
2014
On the convexity of the function \(C \mapsto f(\det C)\) on positive-definite matrices. Zbl 1361.74009
Lehmich, Stephan; Neff, Patrizio; Lankeit, Johannes
6
2014
Sum of squared logarithms – an inequality relating positive definite matrices and their matrix logarithm. Zbl 1284.26019
Bîrsan, Mircea; Neff, Patrizio; Lankeit, Johannes
11
2013
...and 68 more Documents
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Cited by 1,144 Authors

131 Neff, Patrizio
32 Ghiba, Ionel-Dumitrel
28 Madeo, Angela
23 Ortigosa, Rogelio
22 Gil, Antonio J.
21 Schröder, Jörg
18 Martin, Robert J.
17 Balzani, Daniel
16 Bîrsan, Mircea
16 Hartmann, Stefan
14 dell’Isola, Francesco
14 Giorgio, Ivan
14 Placidi, Luca
13 Münch, Ingo
13 Wriggers, Peter
12 Pauly, Dirk
10 d’Agostino, Marco Valerio
10 Forest, Samuel
10 Jeong, Jena
10 Lewintan, Peter
10 Sander, Oliver
9 Altenbach, Holm
9 Chełmiński, Krzysztof
9 Eremeyev, Victor A.
9 Gross, Michael B.
9 Lew, Adrian J.
9 Owczarek, Sebastian
9 Turco, Emilio
8 Barbagallo, Gabriele
8 Lankeit, Johannes
8 Voss, Jendrik
7 Andreaus, Ugo A.
7 Ansari, Reza
7 Bonet, Javier
7 Dietzsch, Julian
7 Fischle, Andreas
7 Martínez-Frutos, Jesús
7 Rosi, Giuseppe A.
7 Steigmann, David J.
7 Tambača, Josip
6 Betsch, Peter
6 Cazzani, Antonio M.
6 Düster, Alexander
6 Eidel, Bernhard
6 Holzapfel, Gerhard Alfred
6 Ramézani, Hamidréza
6 Rheinbach, Oliver
6 Wieners, Christian
5 Böhmer, Christian G.
5 Cockburn, Bernardo
5 Cuomo, Massimo
5 Della Corte, Alessandro
5 Gavrilyuk, Sergey L.
5 Hamkar, Ahmad-Wahadj
5 Hesch, Christian
5 Klawonn, Axel
5 Knees, Dorothee
5 McBride, Andrew T.
5 Mihai, L. Angela
5 Montáns, Francisco-Javier
5 Noels, Ludovic
5 Norouzzadeh, Amir
5 Reddy, B. Dayanand
5 Rizzi, Gianluca
5 Roubíček, Tomáš
5 Shutov, Alexey V.
5 Sky, Adam
5 Spector, Scott J.
5 Sun, WaiChing
5 Velčić, Igor
5 Yosibash, Zohar
4 Chroscielewski, Jacek
4 Ebobisse, François Bille
4 Ehret, Alexander E.
4 Favrie, Nicolas
4 Feng, Zhiqiang
4 Franke, Marlon
4 Greco, Leopoldo
4 Hardering, Hanne
4 Heinlein, Alexander
4 Hudobivnik, Blaž
4 Kružík, Martin
4 Lee, Chun Hean
4 Lekszycki, Tomasz
4 Mariano, Paolo Maria
4 Marino, Michele
4 Mielke, Alexander
4 Ndanou, Serge
4 Netz, Torben
4 Peyraut, François
4 Rachowicz, Waldemar
4 Spector, Daniel E.
4 Steinmann, Paul
4 Stochino, Flavio
4 Witkowski, Wojciech
4 Witsch, Karl Josef
4 Zdunek, Adam
3 Abd-alla, Abo-el-nour N.
3 Augustin, Christoph M.
3 Baaser, Herbert
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Cited in 118 Serials

117 Computer Methods in Applied Mechanics and Engineering
69 Mathematics and Mechanics of Solids
48 Journal of Elasticity
46 Computational Mechanics
34 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
26 International Journal for Numerical Methods in Engineering
26 Continuum Mechanics and Thermodynamics
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 Acta Mechanica
22 Journal of the Mechanics and Physics of Solids
20 International Journal of Engineering Science
18 European Journal of Mechanics. A. Solids
14 Archive of Applied Mechanics
13 Applied Mathematical Modelling
11 Archive for Rational Mechanics and Analysis
11 Mathematical Methods in the Applied Sciences
9 Wave Motion
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Computers & Mathematics with Applications
8 Calculus of Variations and Partial Differential Equations
7 Journal of Engineering Mathematics
7 Journal of Mathematical Analysis and Applications
7 GAMM-Mitteilungen
6 Journal of Nonlinear Science
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Mathematics and Mechanics of Complex Systems
5 International Journal of Solids and Structures
5 Journal of Computational Physics
5 Journal of Differential Equations
5 Meccanica
5 SIAM Journal on Mathematical Analysis
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Numerical Analysis
4 Applied Numerical Mathematics
4 Archives of Computational Methods in Engineering
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Mathematics and Computers in Simulation
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Applied Mathematics
3 SIAM Journal on Scientific Computing
3 Journal of Mathematical Sciences (New York)
3 Acta Mechanica Sinica
3 Journal of Theoretical Biology
2 Journal of Applied Mathematics and Mechanics
2 Physica A
2 Applied Mathematics and Computation
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Linear Algebra and its Applications
2 Engineering Analysis with Boundary Elements
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Lobachevskii Journal of Mathematics
2 Nonlinear Analysis. Real World Applications
2 Foundations of Computational Mathematics
2 Oberwolfach Reports
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2 International Journal for Numerical Methods in Biomedical Engineering
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computer Physics Communications
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1 Nonlinearity
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Archiv der Mathematik
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1 Journal of Optimization Theory and Applications
1 Mechanics Research Communications
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
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1 Aequationes Mathematicae
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1 Communications in Numerical Methods in Engineering
1 NoDEA. Nonlinear Differential Equations and Applications
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Mathematical Problems in Engineering
1 Journal of Applied Analysis
1 Computing and Visualization in Science
1 Nonlinear Dynamics
1 Journal of Inequalities and Applications
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Journal of Mathematical Fluid Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 Algebraic & Geometric Topology
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Numerical Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
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Cited in 40 Fields

706 Mechanics of deformable solids (74-XX)
138 Partial differential equations (35-XX)
131 Numerical analysis (65-XX)
48 Biology and other natural sciences (92-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
34 Fluid mechanics (76-XX)
19 Differential geometry (53-XX)
18 Real functions (26-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Functional analysis (46-XX)
15 Statistical mechanics, structure of matter (82-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Mechanics of particles and systems (70-XX)
7 Operator theory (47-XX)
7 Optics, electromagnetic theory (78-XX)
6 Computer science (68-XX)
5 Ordinary differential equations (34-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 History and biography (01-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
2 Systems theory; control (93-XX)
1  (04-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)

Citations by Year