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Eingereichte Beiträge

Alexios Aivaliotis, Domenico Tallarico, Ali Daouadji, Patrizio Neff, Angela Madeo
Scattering of finite-size anisotropic metastructures via the relaxed micromorphic model
Archive ouverte: hal-02140892

Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba, Oliver Sander, Patrizio Neff
The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity
arXiv: 1901.00058 pdf

Francoise Ebobisse, Patrizio Neff
A fourth order gauge-invariant gradient plasticity model for polycrystals based on Kröner's incompatibility tensor
arXiv:1706.08770 pdf

Accepted

Aarti Khurana, Suman Bala, Hassam Khan, Sushil K. Tomar, Patrizio Neff
On the dispersion of waves for the linear thermoelastic relaxed micromorphic model
Accepted in:  Journal of Thermal Stresses
arXiv: 1811.05878v1 pdf

Patrizio Neff, Kai Graban, Eva Schweickert, Robert J. Martin
The axiomatic introduction of arbitrary strain tensors by Hans Richter - a commented translation of “Strain tensor, strain deviator and stress tensor for finite deformations”
Accepted in: Mathematics and Mechanics of Solids
pdf

Alexios Aivaliotis, Ali Daouadji, Gabriele Barbagallo, Domenico Tallarico, Patrizio Neff, Angela Madeo
Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interface
Accepted in: Wave Motion
abstract pdf

Publikationen in referierten Fachzeitschriften

2019

Eva Schweickert, L. Angela Mihai, Robert J. Martin,  Patrizio Neff
A note on non-homogeneous deformation with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity
International Journal of Non-Linear Mechanics; (2020) online first: DOI: 10.1016/j.ijnonlinmec.2019.103282
arXiv: 1904.11358

Marco Valerio D’Agostino, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Bernhard Eidel, Patrizio Neff, Angela Madeo
Effective description of anisotropic wave dispersion in mechanical metamaterials via the relaxed micromorphic model
Journal of Elasticity; (2019) online first: DOI: 10.1007/s10659-019-09753-9
arXiv: 1709.07054pdf

Patrizio Neff, Bernhard Eidel, Marco Valerio d’Agostino, Angela Madeo
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
Journal of Elasticity; (2019) online first: DOI: 10.1007/s10659-019-09752-w
pdf

Christian G. Böhmer, Yongjo Lee, Patrizio Neff
Chirality in the plane
Journal of the Mechanics and Physics of Solids; (2019) online first: DOI: 10.1016/j.jmps.2019.103753
arXiv: 1906.03094 abstract

Mircea Birsan, Ionel-Dumitrel Ghiba, Robert J. Martin, Patrizio Neff
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
Mathematics and Mechanics of solids; (2019) online first: DOI: 10.1177/1081286519856061
abstract

Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba, Patrizio Neff
Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity
Proceedings of the Royal Society of Edinburgh Section A Mathematics; (2019) online first: DOI:10.1017/prm.2019.3
arXiv: 1903.00508pdf

Kai Graban, Eva Schweickert, Robert J. Martin, Patrizio Neff
A commented translation of Hans Richter's early work "The isotropic law of elasticity"
In press: Mathematics and Mechanics of solids; (2019) online first: DOI: 10.1177/1081286519847495
arXiv: 1904.05164 pdf

Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco Valerio d’Agostino
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
In press: Mathematics and Mechanics of Solids; (2019) online first: DOI: 10.1177/1081286519838311
arXiv: 1809.04791pdf

Francois Ebobisse, Klaus Hackl, Patrizio Neff
A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector
In press: Continuum Mechanics and Thermodynamics; (2019) online first: DOI: 10.1007/s00161-019-00755-5
arXiv:1603.00271 pdf

Lev Borisov, Andreas Fischle, Patrizio Neff
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices
In press: Zeitschrift für angewandte Mathematik und Mechanik; (2019) online first: DOI: 10.1002/zamm.201800120
abstract arXiv:1606.09085v2 pdf

Alexios Aivaliotis, Ali Daouadji, Gabriele Barbagallo, Domenico Tallarico, Patrizio Neff, Angela Madeo
Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface
Wave Motion; (2019) Vol.190, pp. 99-120
abstract pdf

Christian Thiel, Jendrik Voss, Robert J. Martin, Patrizio Neff
Shear, pure and simple
International Journal of Non-Linear Mechanics; (2019) Vol. 112, pp 57-72
abstract arXiv: 1806.07749pdf

Christian Thiel, Jendrik Voss, Robert J. Martin, Patrizio Neff
Do we need Truedell's empirical inequalities? On the coaxiality of stress and stretch
International Journal of Non-Linear Mechanics; (2019) Vol.112, pp. 106-116
abstract  arXiv: 1812.03053 pdf

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
A polyconvex extension of the logarithmic Hencky strain energy
Analysis and Application; (2019), Vol. 17 (3), pp. 349-361
arXiv: 1712.08864 abstract pdf

Gabriele Barbagallo, Domenico Tallarico, Marco Valerio d’Agostino, Alexios Aivaliotis, Patrizio Neff, Angela Madeo
Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructures
International Journal of Solids and Structure; (2019) Vol. 162, pp.148-163
abstractarXiv: 1810.01750pdf

Patrizio Neff, Andreas Fischle, Lev Borisov
Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square
SIAM Journal on Applied Algebra Geometry; (2019) Vol. 3 (1), pp. 31-43
abstract

Christian G. Boehmer, Yongjo Lee, Patrizio Neff
Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations
Wave Motion; (2019), Vol. 84, pp. 110-124
abstract arXiv: 1802.02846 pdf

2018

Jendrik Voss, Herbert Baaser, Robert J. Martin, Patrizio Neff
More on anti-plane shear
Journal of Optimization Theory and Applications, (2018), online first, DOI:10.1007/s10957-018-1358-6
arXiv: 1802.00265 pdf

Francois Ebobisse, Patrizio Neff, Daya Reddy
Existence results in dislocation based rate-independent isotropic gradient plasticity with kinematical hardening and plastic spin: The case with symmetric local backstress
The Quarterly Journal of Mechanics and Applied Mathematics, (2018) Vol. 71 (1) pp. 99–124 
arXiv:1504.01973 Abstract pdf

Boumediene Nedjar, Herber Baaser, Robert J. Martin, Patrizio Neff
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
Computational Mechanics; 2018, Vol. 62 (4), pp. 635-654
arXiv:1705.08381abstract pdf

François Ebobisse, Patrizio Neff, Samuel Forest
Well-posedness for the microcurl model in both single and polycrystal gradient plasticity
International Journal of Plasticity; 2018, Vol. 107, pp. 1-26
abstractpdf

Ionel-Dumitrel Ghiba, Robert J. Martin, Patrizio Neff
Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity
Journal de Mathématiques Pures et Appliquées; 2018, Vol. 116, pp. 88-104;
abstract arXiv:1609.01339v1 pdf

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
A non-ellipticity result, or the impossible taming of the logarithmic strain measure
International Journal of Non-Linear Mechanics; 2018, Vol. 102, pp. 147-158
arXiv: 1712.04846pdf

Jörg Schröder, Markus von Hoegen, Patrizio Neff
The exponentiated Hencky energy: Anisotropic extension and biomechanical applications
Computational Mechanics; 2018, Vol. 6, pp. 657-685
arXiv:1702.00394 pdf

Angela L. Mihai, Patrizio Neff
Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations
Mathematics and Mechanics of Solids; 2018, Vol. 23 (4) pp. 606-616
arXiv:1611.01772 pdf

François Ebobisse, Patrizio Neff, Elias C. Aifantis
Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening
The Quarterly Journal of Mechanics and Applied Mathematics; 2018, Vol. 71 (1) pp. 99-124
arXiv: 1609.05083abstract

Ingo Münch, Patrizio Neff
Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy
Mathematics and Mechanics of Solids; 2018, 23 (1), pp. 3-42
arXiv: 1603.06153abstract

Angela Madeo, Manuel Collet, Marco Miniaci, Kevin Billon, Morvan Ouisse, Patrizio Neff
Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia
Journal of Elasticity; (2018) 130 (1), pp. 59-83
arXiv: 1610.03878abstract

Angela Madeo, Gabriele Barbagallo, Manuel Collet, Marco Valerio D'Agostino, Marco Miniaci, Patrizio Neff
Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: New perspectives towards metastructural design
Mathematics and Mechanics of Solids; (2018) Vol. 23 (12), pp. 1485-1506
abstract

 

2017

Marco Valerio d'Agostino, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff
A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model
ZAMM/Zeitschrift für Angewandte Mathematik und Mechanik; 2017, Vol. 97 (11), pp. 1436-1481
arXiv: 1610.03296abstractpdf

Angela Madeo, Patrizio Neff, Elias C.  Aifantis, Gabriele Barbagallo, Marco Valerio d’Agostino
On the role of micro-inertia in enriched continuum mechanics
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences; 2017, Vol. 473 (2198)
arXiv: 1607.07385abstractpdf

Patrizio Neff, Angela Madeo,  Gabriele Barbagallo, Marco Valerio D'Agostino, Rafael Abreu, Ionel-Dumitrel Ghiba
Real wave propagation in the isotropic-relaxed micromorphic model
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences; 2017, Vol. 473 (2197)
arXiv: 1604.07902abstractpdf

Angela Madeo, Patrizio Neff, Gabriele Barbagallo, Marco Valerio d’Agostino, Ionel-Dumitrel Ghiba
A review on wave propagation modeling in band-gap metamaterials via enriched continuum models
Mathematical Modelling in Solid Mechanics;  2017, Vol. 69, pp. 89-105; DOI: 10.1007/978-981-10-3764-1_6
arXiv:1609.01073v1 pdf

Andreas Fischle, Patrizio Neff, Dierk Raabe
The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments
ZAMP: Journal of Applied Mathematics and Physics; 2017, Vol. 68 (90); DOI:10.1007/s00033-017-0834-4
arXiv:1603.06633v1 pdf

Ingo Münch, Patrizio Neff, Angela Madeo, Ionel-Dumitrel Ghiba
The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless
ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik; 2017, online first; DOI:10.1002/zamm.201600107
arXiv: 1512.02053 pdf

Sebastian Bahamonde, Christian G. Böhmer, Patrizio Neff
Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality
Journal of Mechanics of Materials and Structures; 2017, Vol.12 (5), pp. 689-710; DOI:10.2140/jomms.2017.12.689
arXiv:1705.04868 pdf

Jörg Schröder, Markus von Hoegen, Patrizio Neff
The exponentiated Hencky energy: anisotropic extension and case studies
Computational Mechanics; 2017, online first; DOI:10.1007/s00466-017-1466-4
arXiv:1702.00394 pdf

Andreas Fischle, Patrizio Neff
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part II: Non-classical energy-minimizing microrotations in 3D and their computational validation
ZAMM, Zeitschrift für angewandte Mathematik und Mechanik; 2017 Vol. 97 (7),  pp. 843–871
arXiv:1509.06236 pdf

Gabriele Barbagallo, Marco Valerio D'Agostino, Rafael Abreu, Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff
Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics
International Journal of Solids and Structures; 1. August 2017 Vol. 120, pp. 7–30; published online
arXiv:1601.03667 pdf

Andreas Fischle, Patrizio Neff
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D
ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik/Journal of Applied Mathematics and Mechanics; 2017, DOI:10.1002/zamm.201500194, published online
arXiv:1507.05480 pdf

Patrizio Neff, Angela L. Mihai
Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition
Journal of Elasticity; 2017, Vol. 127(2), pp. 309-315
arXiv:1608.05247 pdf

David Yang Gao, Patrizio Neff, Ionel Roventa, Christian Thiel
On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor
Journal of Elasticity; 2017, Vol. 127(2), pp. 303-308
arXiv:1508.05721 pdf

Angela L. Mihai, Patrizio Neff
Hyperelastic bodies under homogeneous Cauchy-stress induced by non-homogneous finite deformations
International Journal of Non-Linear Mechanics; 2017, Vol. 89, pp. 93-100
arXiv:1608.05040 pdf

Johannes Lankeit, Patrizio Neff, Frank Osterbrink
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
ZAMP: Journal of Applied Mathematics and Physics; 2017,  Vol. 68:11, DOI:10.1007/s00033-016-0755-7
arXiv:1504.08003 pdf

Mircea Birsan, Patrizio Neff
On the dislocation density tensor in the Cosserat theory of elastic shells
Conference May 2016: ETAMM-Perpignan, DOI: 10.13140/RG.2.1.1604.2482
arXiv:1602.03421 pdf

2016

Angela Madeo, Gabriele Barbagallo, Marco Valerio d'Agostino, Luca Placidi, Patrizio Neff
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model
Proceedings of the Royal Society A; 2016 Vol 472 (2190)
arXiv:1603.02258 pdf

Angela Madeo, Patrizio Neff, Marco Valerio d'Agostino, Gabriele Barbagallo
Complete band gaps including non-local effects occur only in the relaxed micromorphic model
Comptes Rendus Mécanique; 2016 Vol. 344 (11-12), pp. 784-796
arXiv:1602.04315 pdf

Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo, Ingo Münch
A variant of the linear isotropic indeterminate couple stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and complete traction boundary conditions
Mathematics and Mechanics of Solids;  2016 Vol. 22 (6), pp. 1221 - 1266
arXiv:1504.00868 pdf

Giuseppe Montella, Sanjay Govindjee, Patrizio Neff
The exponentiated Hencky strain energy in modelling tire derived material for moderately large deformations
Journal of Engineering Material Technology; 2016 Vol. 138 (3): 031008-031008-12
arXiv:1509.06541 pdf

Patrizio Neff, Ingo Münch, Robert J. Martin
Rediscovering GF Becker's early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain
Math. Mech. Solids; 2016 Vol. 21, No. 7, pp. 856–911
arXiv: 1403.4675  pdf

Robert J. Martin, Patrizio Neff
Minimal geodesics on GL(n) for left-invariant, right-O(n)-invariant Riemannian metrics
The Journal of Geometric Mechanics; 2016 Vol. 3, pp. 323-357
arXiv:1409.7849 pdf

Patrizio Neff, Bernhard Eidel, Robert J. Martin
Geometry of logarithmic strain measures in solid mechanics
Archive for Rational Mechanics and Analysis; 2016 Vol. 222, pp. 507-572
arXiv:1505.02203 pdf

Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba, Giuseppe Rosi
Reflection and transmission of elastic waves at interfaces embedded in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model
J. Mech. Phys. Solids;2016 Vol. 95, pp. 441-479
arXiv:1602.05218 pdf

Angela Madeo, Ionel-Dumitrel Ghiba, Patrizio Neff, Ingo Münch
A new view on boundary conditions in the Grioli-Koiter-Mindlin-Toupin indeterminate couple stress model
European Journal of Mechanics A/Solids; 2016 Vol. 59, pp. 294-322
arXiv:1505.00995 pdf

Patrizio Neff, Ingo Münch, Ionel-Dumitrel Ghiba, Angela Madeo
On some fundamental misunderstandings in the indeterminate couple stress model. A comment on recent papers of A.R. Hadjesfandiari and G.F. Dargush
International Journal of Solids and Structures; 2016 Vol. 81, pp. 233–243
arXiv:1504.03105 abstract pdf

Christian G. Böhmer, Patrizio Neff, Belgin Seymenoglu
Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity
Wave Motion; 2016 Vol. 60, pp. 158–165
arXiv:1503.08860 abstract pdf

Patrizio Neff, Ionel-Dumitrel Ghiba
The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized isotropic finite strain plasticity
Continuum Mechanics and Thermodynamics; 2016 Vol. 28 (1), pp. 477–487
arXiv:1409.7555 abstract pdf

Patrizio Neff, Ionel-Dumitrel Ghiba
Loss of ellipticity for non-coaxial plastic defomations in additive logarithmic finite strain plasticity
International Journal of Non-Linear Mechanics; 2016 Vol. 81, pp. 122–128
arXiv:1410.2819abstract pdf

Fozi M. Dannan, Patrizio Neff, Christian Thiel
On the sum of squared logarithms inequality and related inequalities
JMI: Journal of Mathematical Inequalities; 2016 Vol. 10 (1), pp. 1–17
arXiv:1411.1290  abstract pdf

Oliver Sander, Patrizio Neff, Mircea Birsan
Numerical treatment of a geometrically nonlinear planar Cosserat shell model
Computational Mechanics; 2016 Vol. 57 (5) pp. 817-841
arXiv:1412.3668   abstract pdf

Patrizio Neff, Ingo Münch, Robert J. Martin
Rediscovering G.F. Becker's early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain
Mathematics and Mechanics of Solids; 2016 Vol. 21 (7), pp. 856-911
arXiv:1403.4675   abstract  pdf

2015

Angela Madeo, Alessandro Della Corte, Leopoldo Greco Patrizio Neff
Wave propagation in pantographic 2D lattices with internal discontinuities
Proceedings of the Estonian Academy of Sciences; 2015, Vol. 64 (3S), pp. 325-330
arXiv:1412.3926abstract

Ionel-Dumitrel Ghiba, Patrizio Neff, Robert J. Martin
An ellipticity domain for the distortional Hencky logarithmic strain energy
Proceedings A of the Royal Society; 2015 Vol. 471(2184)
arXiv:1507.07388 abstract pdf

Krzysztof Chełmiński, Patrizio Neff, Sebastian Owczarek
A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects
Journal of Mathematical Analysis and Applications; 2015 Vol. 423(1), pp. 283–304
arXiv:1401.1341 abstract  pdf

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
Poincaré meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields
Journal of Differential Equations; 2015 Volume 258(4), pp. 1267–1302
arXiv:1203.2744 abstract  pdf  

Patrizio Neff, Ionel-Dumitrel Ghiba, Markus Lazar, Angela Madeo
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocation
The Quarterly Journal of Mechanics and Applied Mathematics; 2015 Vol. 68(1), pp. 53-84
arXiv:1403.3442abstract pdf

Waldemar Pompe, Patrizio Neff
On the generalized sum of squared logarithms inequality
Journal of Inequalities and Applications; 2015,  DOI: 10.1186/s13660-015-0623-6, published online
arXiv:1210.2706 abstract pdf

Ionel-Dumitrel Ghiba, Patrizio Neff, Miroslav Silhavy
The exponentiated Hencky-logarithmic strain energy. Improvement of planar polyconvexity
International Journal of Non-Linear Mechanics; 2015 Volume 71, pp. 48–51
arXiv:1501.06780 abstract pdf

Nataliya Kraynyukova, Patrizio Neff, Sergiy Nesenenko, Krzysztof Chełmiński
Well-posedness for dislocation based gradient visco-plasticity with isotropic hardening
Nonlinear Analysis: Real World Applications, 2015 Volume 25, pp. 96–111 (Oct. 2015)
arXiv:1411.1295 abstract pdf

Patrizio Neff, Mircea Bîrsan, Frank Osterbrink
Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements
Journal of Elasticity; 2015 Vol. 121 (1), pp. 119-141
arXiv:1410.4225 abstract pdf

Patrizio Neff, Johannes Lankeit, Ionel-Dumitrel Ghiba, Robert J. Martin, David Steigmann
The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers
Zeitschrift für angewandte Mathematik und Physik; 2015 Vol. 66(4), pp.1671-1693
arXiv:1408.4430 abstract pdf

Patrizio Neff, Ionel-Dumitrel Ghiba, Johannes Lankeit
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
Journal of Elasticity; 2015 Vol. 121(2), pp. 143–234
arXiv:1403.3843 abstract pdf

Robert J. Martin, Patrizio Neff
Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices
Archive of Applied Mechanics; 2015 Vol. 85 (12), pp.1761-1778
arXiv:1409.7847 abstract  pdf

Sebastian Bauer, Patrizio Neff, Dirk Pauly, Gerhard Starke
Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions
ESAIM: Control, Optimisation and Calculus of Variations; 2015 Vol. 22(1), pp.112-133
arXiv:1307.1434 abstract  pdf

Sergiy Nesenenko, Patrizio Neff
Homogenization for dislocation based gradient visco-plasticity
Journal of Mathematical Analysis and Applications; 2015 Volume 425 (1), pp 133–159
arXiv:1301.2911   abstract  pdf

Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba, Luca Placidi, Giuseppe Rosi
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps
Continuum Mechanics and Thermodynamics; 2015 Vol. 27(4), pp. 551-570
arXiv:1209.1722 abstract pdf

2014

Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo, Luca Placidi, Giuseppe Rosi
The relaxed linear micromorphic continuum: existence, uniqueness
and continuous dependence in dynamics
Math. Mech. Solids; 2014 Vol. 20 (10), pp. 1171-1197
arXiv:1308.3762 abstract pdf 

Krzysztof Chelmiński, Patrizio Neff, Sebastian Owczarek
The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects
Journal of Differential Equations; 2014 Vol. 256(11), pp. 3497–3523
arXiv:1304.5801 abstract pdf 

Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba, Luca Placidi, Giuseppe Rosi
Band gaps in the relaxed linear micromorphic continuum
ZAMM/Z. Angew. Math. Mech.; 2014 Vol. 95(9), pp. 880-887
arXiv:1405.3493 abstract pdf

Patrizio Neff, Bernhard Eidel, Frank Osterbrink, Robert J. Martin
A Riemannian approach to strain measures in nonlinear elasticity
Comptes Rendus Mécanique; 2014 Volume 342(4), pp. 254–257
arXiv:1305.2393 abstract  pdf

Stephan Lehmich, Patrizio Neff, Johannes Lankeit
On the convexity of the function C --> f(det C) on positive definite matrices
Math. Mech. Solids: 2014 Vol. 19 (4), pp. 367-373 
arXiv:1209.5535 abstract pdf

Mircea Birsan, Patrizio Neff
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
Math. Mech. Solids; 2014 Vol. 19 (4), pp. 376-397
arXiv:1210.1251  abstract pdf

Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Luca Placidi, Giuseppe Rosi
A unifying perspective: the relaxed linear micromorphic continuum
Continuum Mechanics and Thermodynamics; 2014 Vol. 26(5), pp. 639-681
arXiv:1308.3219 abstract pdf

Patrizio Neff, Johannes Lankeit, Angela Madeo
On Grioli’s minimum property and its relation to Cauchy’s polar decomposition
International Journal of Engineering Science; 2014 Vol. 80, pp. 209–217
arXiv:1310.7826  abstract pdf

Johannes Lankeit, Patrizio Neff, Yuji Nakatsukasa
The minimization of matrix logarithms - on a fundamental property of the unitary polar factor
Linear Algebra and its Applications; 2014 Volume 449, pp. 28–42
arXiv:1308:1122 abstract pdf  

Patrizio Neff, Yuji Nakatsukasa, Andreas Fischle
A logarithmic minimization property of the unitary polar factor in the spectral norm and the Frobenius matrix norm
SIAM. J. Matrix Anal. & Appl.; 2014 Vol. 35 (3), pp. 1132–1154
arXiv:1302.3235 abstract pdf

Sebastian Bauer, Patrizio Neff, Dirk Pauly, Gerhard Starke
New Poincaré-type inequalities
Comptes Rendus Mathématique; 2014Volume 352 (2), pp. 163–166
abstract pdf

Mircea Birsan, Patrizio Neff
Shells without drilling rotations: A representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theory
International Journal of Engineering Science; 2017 Volume 80, pp. 32–42
arXiv:1312.2387 abstract  pdf

2013

Patrizio Neff, Waldemar Pompe
Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn’s second inequality
ZAMM, Zeitschrift für Angewandte Mathematik und Mechanik; 2013 Volume 94(9), pp. 784–790
arXiv:1303.1387 abstract  pdf

Mircea Birsan, Patrizio Neff, Johannes Lankeit
Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm
Journal of Inequalities and Applications; 2013:168, DOI: 10.1186/1029-242X-2013-168
arXiv:1301.6604  abstract pdf

Sergiy Nesenenko, Patrizio Neff
Well-posedness for dislocation based gradient visco-plasticity II: Monotone case
SIAM J. Math. Anal., 2013 Vol. 44 (3), 1694–1712. (19 pages)
abstract  pdf

Johannes Lankeit, Patrizio Neff, Dirk Pauly
Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity
ZAMP, Zeitschrift für angewandte Mathematik und Physik; 2013 Volume 64 (6), pp. 1679-1688
arXiv:1209.3388 abstract pdf

Johannes Lankeit, Patrizio Neff, Dirk Pauly

Unique continuation for first order systems with integrable coefficients and applications to elasticity and plasticity
Comptes rendus - Mathématique 351 (2013), pp. 247-250
abstract pdf

Mircea Birsan, Patrizio Neff
Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates
Journal of Elasticity, 2013 Vol. 112 (2), pp. 185-198
arXiv:1205.0894 abstract pdf

2012

Sergiy Nesenenko, Patrizio Neff
Well-posedness for dislocation based gradient viscoplasticity I: subdifferential case
SIAM J. Math. Anal. 44 (3), 2012, pp. 1694–1712
abstract pdf

Mircea Bîrsan, Patrizio Neff
On the equations of geometrically nonlinear elastic plates with rotational degrees of freedom
Ann. Acad. Rom. Sci. Ser. Math. Appl.; 2012 Vol. 4 (1), pp. 97–103
pdf

Krzysztof Chelmiński, Patrizio Neff, Sebastian Owczarek
Poroplasticity with Cosserat effects
Z. Angew. Math. Mech.; 2012 Vol. 92 (2),  pp. 462–478
abstract pdf

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
Maxwell meets Korn: a new coercive inequality for tensor fields in RN×N with square-integrable exterior derivative
Math. Methods Appl. Sci. ; 2012 Vol. 35 (1), pp. 65–71
arXiv:1105.5013  abstract pdf

2011

Ingo Münch, Patrizio Neff, Werner Wagner
A micropolar continuum model for large deformation caused by magnetic or electric fields
Proceedings of SPIE 7978; 2011,  DOI: 10.1117/12.880568
abstract pdf

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
On a canonical extension of Korn's first and Poincaré's inequality to H(Curl)
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 397 (2011), Kraevye Zadachi Matematicheskoĭ Fiziki i Smezhnye Voprosy Teorii Funktsiĭ. 42, 115–125, 173–174. 46-XX
abstract pdf
Journal of Mathematical Sciences;  2012 Volume 185 (5), pp. 721-727
abstract pdf

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
A canonical extension of Korn's first inequality to H(Curl) motivated by gradient plasticity with plastic spin
C. R. Math. Acad. Sci. Paris ; 2011 Vol. 349; 2011 (23-24), pp. 1251–1254
arXiv:1106.4731 abstract pdf

Joelle Beyrouthy, Patrizio Neff
A viscoelastic thin rod model for large deformations: numerical examples
Math. Mech. Solids; Vol. 16 (8), pp. 887–896
abstract pdf

Patrizio Neff, Hans-Dieter Alber
Preface of the guest-editors [Proceedings of the ISIMM-Workshop on mathematical problems of solid mechanics]
Held at the Technische Universität Darmstadt, Darmstadt, October 8–9, 2009. GAMM-Mitt. 34 (2011), no. 1, pp. 8–9
abstract pdf

Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis
FETI-DP domain decomposition methods for elasticity with structural changes: P-elasticity
ESAIM Math. Model. Numer. Anal.; 2011 45 (3), pp. 563–602
abstract pdf

Ingo Münch, Patrizio Neff, Werner Wagner
Transversely isotropic material: nonlinear Cosserat versus classical approach
Contin. Mech. Thermodyn.; 2011 23 (1), pp. 27–34
abstract pdf

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
An elementary extension of Korn's first inequality to H(Curl) motivated by gradient plasticity with plastic spin
Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen, Band 736
arXiv:1105.4039

2010

Patrizio Neff, Wolfgang Müller, Christian Wieners
Parallel simulation of an infinitesimal elasto-plastic Cosserat model
GAMM-Mitt. 33 (2010), no. 1, pp. 79–94
abstract pdf

Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis
Solving geometrically exact micromorphic elasticity with a staggered algorithm
GAMM-Mitt. 33 (2010), no. 1, pp. 57–72
abstract pdf

Jena Jeong, Patrizio Neff
Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions
Math. Mech. Solids, 2010 Vol. 15 (1), pp. 78–95
abstract pdf

Patrizio Neff, Kwon-Il Hong, Jena Jeong
The Reissner-Mindlin plate is the Γ-limit of Cosserat elasticity
Mathematical Models and Methods in Applied Sciences; 2010 Vol. 20 (9), pp. 1553-1590
abstract pdf

François Ebobisse, Patrizio Neff
Existence and uniqueness for rate-independent infinitesimal gradient plasticity with isotropic hardening and plastic spin
Math. Mech. Solids; 2010 Vol. 15 (6), pp. 691–703
abstract pdf

Patrizio Neff, Jena Jeong, Andreas Fischle
Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature
Acta Mechanica; 2010 Vol. 211 (3-4), pp. 237-249
abstract pdf

2009

Bob Svendsen, Patrizio Neff, Andreas Menzel
On constitutive and configurational aspects of models for gradient continua with microstructure.
Z. Angew. Math. Mech.; 2009 Vol. 89 (8), pp. 687–697
abstract pdf Preprint

Patrizio Neff, Ingo Münch
Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure
Contin. Mech. Thermodyn.; 2009 Vol. 21 (23), pp. 195–221
abstract pdf

Jena Jeong, Hamidreza Ramezani, Ingo Münch, Patrizio Neff
A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
Z. Angew. Math. Mech.; 2009 Vol. 89 (7), pp. 552–569
abstract pdf

Patrizio Neff, Jena Jeong, Ingo Münch, Hamid Ramezani
Mean field modeling of isotropic random Cauchy elasticity versus microstretch elasticity
Z. Angew. Math. Phys.; 2009 Vol.  60 (3),  pp. 479–497
abstract pdf

Krzysztof Chełmiński, Patrizio Neff
H1loc-stress and strain regularity in Cosserat plasticity
Z. Angew. Math. Mech., 2009 Vol.  89 (4), pp. 257–266
abstract pdf

Patrizio Neff, Jena Jeong
A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
Z. Angew. Math. Mech., 2009 Vol. 89 (2),  pp. 107–122
abstract pdf TUD-Preprint Nr. 2559

Ingo Münch, Werner Wagner, Patrizio Neff
Theory and FE-analysis for structures with large deformation under magnetic loading
Comput. Mech.; 2009 Vol. 44 (1), pp. 93–102
abstract pdf Preprint

Patrizio Neff, Krzysztof Chełmiński, Hans-Dieter Alber
Notes on strain gradient plasticity: finite strain covariant modelling and global existence in the infinitesimal rate-independent case
Math. Models Methods Appl. Sci.; 2009 Vol. 19 (2), pp. 307–346
abstract pdf

Patrizio Neff, Antje Sydow, Christian Wieners
Numerical approximation of incremental infinitesimal gradient plasticity
Internat. J. Numer. Methods Engrg.; 2009 Vol.  77 (3), pp. 414–436
abstract pdf

Vera Ebbing, Jörg Schröder, Patrizio Neff
Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies
Archive of Applied Mechanics; 2009 Volume 79, Issue 6-7, pp. 651-657
abstract pdf

Vera Ebbing, Daniel Balzani, Jörg Schöder, Patrizio Neff, Friedrich Gruttmann
Construction of anisotropic polyconvex energies and applications to thin shells
Comp. Mat. Science; 2009 Vol. 46 (3), pp. 639-641
abstract pdf

Patrizio Neff, Jena Jeong, Hamidreza Ramezani

Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity
Int. J. Solids Structures; 2009 Vol. 46 (25), pp. 4261-4276
abstract pdf

2008

Patrizio Neff
Remarks on invariant modelling in finite strain gradient plasticity
Technische Mechanik; 2008 Vol. 28 (1), pp. 13-21
pdf

Patrizio Neff, Ingo Münch
Curl bounds grad on SO(3)
ESAIM Control Optim. Calc. Var.; 2008 Vol.14 (1), pp. 148–159
abstractpdf

Jörg Schröder, Patrizio Neff, Vera Ebbing
Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors
J. Mech. Phys. Solids; 2008 Vol. 56 (12), pp. 3486–3506
abstract pdf

Krzysztof Chełmiński, Patrizio Neff
A note on approximation of Prandtl-Reuss plasticity through Cosserat plasticity
Quart. Appl. Math.; 2008 Vol. 66 (2), pp. 351–357
abstract pdf

Patrizio Neff, Dorothee Knees
Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity
SIAM J. Math. Anal.; 2008 Vol. 40 (1), pp. 21–43
abstract pdf

Kerstin Weinberg, Patrizio Neff
A geometrically exact thin membrane model — investigation of large deformations and wrinkling
Internat. J. Numer. Methods Engrg.; 2008 Vol. 74 (6), pp. 871–893
abstract pdf

Patrizio Neff, Andreas Fischle, Ingo Münch
Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom
Acta Mechanica; 2008 Vol. 197 (1-2), pp. 19-30
abstract pdf

2007

Patrizio Neff, Krzysztof Chełmiński
A geometrically exact Cosserat shell model for defective elastic crystals. Justification via Γ-convergence
Interfaces Free Bound; 2007 Vol. 9 (4), pp. 455–492
abstract pdf

Patrizio Neff, Krzysztof Chełmiński, Wolfgang Müller, Christian Wieners
A numerical solution method for an infinitesimal elasto-plastic Cosserat model
Math. Models Methods Appl. Sci.; 2007 Vol. 17 (8), pp. 1211–1239
abstract pdf

Patrizio Neff, Krzysztof Chelmiński
Well-posedness of dynamic Cosserat plasticity
Appl. Math. Optim.; 2007 Vol. 56 (1), pp. 19–35
abstract pdf

Patrizio Neff, Samuel Forest
A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results
J. Elasticity; 2007 Vol. 87 (2-3), pp. 239–276
abstract pdf

Patrizio Neff
A geometrically exact planar Cosserat shell-model with microstructure: existence of minimizers for zero Cosserat couple modulus.
Math. Models Methods Appl. Sci.; 2007 Vol. 17 (3), pp. 363–392
abstract pdf

2006

Daniel Balzani, Jörg Schröder, Patrizio Neff, Gerhard A. Holzapfel
Materially stable constitutive equations for arterial walls based on polyconvex energies — Application to damage modeling and residual stresses
J. Biomechanics; 2006 Vol. 39 suppl.1, pp. 409
abstract  pdf

Patrizio Neff
The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
Z. Angew. Math. Mech., 2006 Vol. 86 (11), pp. 892–912
abstract pdf

Daniel Balzani, Patrizio Neff, Jörg Schröder, Gerhard A. Holzapfel
A polyconvex framework for soft biological tissues. Adjustment to experimental data
Internat. J. Solids Structures; 2006 Vol. 43 (20),  pp. 6052–6070
abstract pdf

Patrizio Neff
Existence of minimizers for a finite-strain micromorphic elastic solid
Proc. Roy. Soc. Edinburgh Sect. A; 2006 Vol. 136 (5), pp. 997–1012
abstract pdf

Jose Merodio, Patrizio Neff
A note on tensile instabilities and loss of ellipticity for a fiber-reinforced nonlinearly elastic solid
Arch. Mech. (Arch. Mech. Stos.); 2006 Vol. 58 (3), pp. 293–303
abstract pdf

Patrizio Neff
A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations
Internat. J. Engrg. Sci.; 2006 Vol. 44 (8-9), pp. 574–594
abstract pdf

2005

Patrizio Neff
On material constants for micromorphic continua
Trends in applications of mathematics to mechanics, 337–348, Ber. Math., Shaker Verlag, Aachen, 2005
abstract pdf

Patrizio Neff, Krzysztof Chełmiński
Infinitesimal elastic-plastic Cosserat micropolar theory. Modelling and global existence in the rate-independent case
Proc. Roy. Soc. Edinburgh Sect. A; 2005 Vol. 135 (5), pp. 1017–1039
abstract pdf

Patrizio Neff
Critique of: "Two-dimensional examples of rank-one convex functions that are not quasiconvex''
[Ann. Polon. Math.; 2000 Vol. 73 (3), pp. 291–295; MR1785693] by M. K. Benaouda and J. J. Telega.
Ann. Polon. Math.; 2005 Vol. 86 (2), pp. 193–195
abstract pdf

Patrizio Neff
Local existence and uniqueness for a geometrically exact membrane-plate with viscoelastic transverse shear resistance
Math. Methods Appl. Sci.; 2005 Vol. 28 (9), pp. 1031–1060
abstract pdf

Jörg Schröder, Patrizio Neff, Daniel Balzani
A variational approach for materially stable anisotropic hyperelasticity
Internat. J. Solids Structures; 2005 Vol. 42 (15), pp. 4352–4371
abstract pdf

Patrizio Neff
Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation
Quart. Appl. Math.; 2005 Vol. 63 (1), pp. 88–116
abstract pdf

Patrizio Neff
A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit. I. The viscoelastic membrane-plate
Z. Angew. Math. Phys.; 2005 Vol. 56 (1), pp. 148–182
abstract pdf

2004

Patrizio Neff
A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. Part I. Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
Contin. Mech. Thermodyn.; 2004 Vol. 16 (6), pp. 577–628
abstract pdf

Adrian Lew, Patrizio Neff, Deborah Sulsky, Michael Ortiz
Optimal BV estimates for a discontinuous Galerkin method for linear elasticity
AMRX Appl. Math. Res. Express; 2004, no. 3, pp. 73–106
abstract pdf

2003

Stefan Hartmann, Patrizio Neff
Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility
Internat. J. Solids Structures; 2003 Vol. 40 (11), pp. 2767–2791
abstract pdf

Patrizio Neff, Christian Wieners
Comparison of models for finite plasticity: a numerical study
Comput. Vis. Sci.; 2003 Vol. 6 (1), pp. 23–35
abstract pdf

Patrizio Neff
Finite multiplicative plasticity for small elastic strains with linear balance equations and grain boundary relaxation
Contin. Mech. Thermodyn.; 2003 Vol. 15 (2), pp. 161–195
abstract pdf

Jörg Schröder, Patrizio Neff
Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions
Internat. J. Solids Structures; 2003 Vol. 40 (2), pp. 401–445
abstract pdf

2002

Patrizio Neff
On Korn's first inequality with non-constant coefficients
Proc. Roy. Soc. Edinburgh Sect. A; 2002 Vol. 132 (1), pp. 221–243
abstract pdf

Jörg Schröder, Patrizio Neff
Application of polyconvex anisotropic free energies to soft tissues
Contribution to the Fifth World Congress on Computational Mechanics (WCCM V) / Mang, A. (Ed.) (2002)
abstract pdf

2001

Konferenzbeiträge / Proceedings

GAMM Conference 2018

Robert J. Martin, Ingo Münch, Bernhard Eidel, Patrizio Neff
A brief history of logarithmic strain measures in nonlinear elasticity
PAMM: Proceedings in Applied Mathematics and Mechanics; (2018) Vol.18 (1) Special issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics  
abstract pdf

Marco V. d’Agostino Angela Madeo, Gabriele Barbagallo, I. Dumitrel Ghiba, Bernhard Eidel, Patrizio Neff
Anisotropic wave dispersion and band-gaps in mechanical metamaterials via the relaxed micromorphic model
PAMM: Proceedings in Applied Mathematics and Mechanics; (2018) Vol.18 (1) Special issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics  
abstract pdf

Markus von Hoegen, Jörg Schröder, Patrizio Neff
An extended exponentiated Hencky energy for transverse isotropy
PAMM: Proceedings in Applied Mathematics and Mechanics; (2018) Vol.18 (1) Special issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics  
abstract

Eva Schweickert, Angela Mihai, Patrizio Neff
Homogeneous Cauchy stress induced by non-homogeneous deformations
PAMM: Proceedings in Applied Mathematics and Mechanics;  (2018) Vol.18 (1) Special issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics  
abstract pdf

Jendrik Voss, Patrizio Neff, Herbert Baaser
New thoughts on the anti plane shear problem
PAMM: Proceedings in Applied Mathematics and Mechanics; (2018) Vol.18 (1) Special issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics
abstract

GAMM Conference 2017

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
Proceedings of the Royal Society of Edinburgh Section A; 2017, Vol. 147 (3), pp. 571-597
PAMM: Proceedings in Applied Mathematics and Mechanics; October 2016, Vol. 16 (1), pp. 659–660
arXiv:1507.00266pdf

GAMM Conference 2016

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
PAMM: Proceedings in Applied Mathematics am Mechanics; 2016 Vol. 16, pp. 659-660
arXiv:1507.00266 pdf

Ionel-Dumitrel Ghiba, Patrizo Neff, Robert J. Martin
Loss of ellipticity in additive logarithmic finite strain plasticity and related results on Hencky-type energies
PAMM: Proceedings in Applied Mathematics and Mechanics; 2016 Vol. 16 (1), pp. 341-342
pdf

Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Ingo Münch
Null-Lagrangians and the indeterminate couple stress model
PAMM: Proceedings in Applied Mathematics and Mechanics; 2016 Vol. 16 (1), pp. 379-380
pdf

Lev Borisov, Patrizio Neff, Suvrit Sra, Christian Thiel
The sum of squared logarithms inequality in arbitrary dimensions
PAMM: Proceedings in Applied Mathematics and Mechanics; 2016 Vol.16 (1), pp. 665-666
arXiv:1508.04039 pdf

Ingo Münch, Patrizio Neff
On isotropy conditions in second gradient materials
PAMM: Proceedings in Applied Mathematics and Mechanics; 2016 Vol. 16 (1), pp. 735-736
pdf

GAMM Conference 2013

Sebastian Bauer, Dirk Pauly, Patrizio Neff, Gerhard Starke
Some Poincaré type inequalities for quadratic matrix fields
PAMM, Proceedings in Applied Mathematics and Mechanics, Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013; Volume 13 (1), pp .359–360
abstract pdfKrzysztof Chelminski, Patrizio Neff, Sebastian Owczarek
The Armstrong-Frederick Plasticity model with Cosserat effects
PAMM, Proceedings in Applied Mathematics and Mechanics; 2013 Vol. 13 (1), pp. 357–358 
abstract pdf

Patrizio Neff, Frank Osterbrink, Robert J. Martin
The Hencky strain energy |log U|² measures the geodesic distance of the deformation gradient to SO(n) in the canonical left-invariant Riemannian metric on GL(n)
PAMM, Proceedings in Applied Mathematics and Mechanics; 2013 Vol. 13(1), pp. 369–370
abstract pdf

GAMM Conference 2011

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
A Korn's inequality for incompatible tensor fields
PAMM Special Issue: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz 2011, Vol. 11 (1), pp. 683-684
abstract pdf

GAMM Conference 2010

Vera Ebbing, Jörg Schröder, Patrizio Neff, Friedrich Gruttmann
Micromechanical modeling of woven fiber composites for the construction of effectiveanisotropicpolyconvex energies
PAMM Special Issue: 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk 2009; Volume 9 (1), pp. 333–334
abstract pdf

GAMM Conference 2009

Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanisy
FETI-DP Methods for P-Elasticity
PAMM Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008 Volume 8 (1), pp. 10859–10860
abstract pdf

Wolfgang Müller, Patrizio Neff, Christian Wieners
Numerical results for an elasto-plastic Cosserat model with more than one million dof in 3D
PAMM Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008, Volume 8 (1), pp. 10557–10558
abstract pdf

GAMM Conference 2008

Vera Ebbing, Jörg, Schröder, Patrizio Neff
On the construction of anisotropic polyconvex energy densities
PAMM Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, Volume 7 (1), pp. 4060009–4060010
abstract pdf

Kerstin Weinberg, Patrizio Neff
A geometrically exact membrane model for isotropic foils and fabrics
PAMM Special Issue: Sixth International Congress on Industrial Applied Mathematics and GAMM Annual Meeting Zürich 2007, Vol. 7 (1), pp. 4030007-4030008
abstractpdf

Patrizio Neff
Global existence in rate-independent infinitesimal strain gradient plasticity
PAMM Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, Volume 7 (1), pp. 4080037–4080038
abstract pdf

GAMM Conference 2007

Ingo Münch, Werner Wagner, Patrizio Neff
Constitutive modeling and FEM for a nonlinear Cosserat continuum
PAMM Special Issue: GAMM Annual Meeting 2006 – Berlin, Volume 6, Issue 1, pp. 499–500
abstract pdf

GAMM Conference 2006

Patrizio Neff, Ingo Münch
Curl bounds grad on SO(3)
PAMM Special Issue: GAMM Annual Meeting 2006, Berlin,Volume 6 (1), pp. 501–502
abstract pdf

GAMM Conference 2005

Patrizio Neff
The Γ-limit of a finite-strain Cosserat model for asymptotically thin domains and a consequence for the Cosserat couple modulus μc
PAMM Special Issue: GAMM Annual Meeting 2005 – Luxembourg
Volume 5 (1), pp. 629–630 
abstract pdf

GAMM Conference 2003

Jörg Schröder, Patrizio Neff
Construction of polyconvex anisotropic free energy functions
PAMM · Proc. Appl. Math. Mech.; 2003 Vol. 2, pp. 172–173
abstract pdf

GAMM Conference 2002

Patrizio Neff
On a viscoelastic approximation in finite plasticity
PAMM Volume 1 (1), 2002, pp. 403–404
abstract pdf

GAMM Conference 2001

Patrizio Neff
A model describing small elastic deformations and Korn's inequality with nonconstant coefficients
Z. Angew. Math. Mech.; 2001 Vol. 81 (3), pp. 607-608
abstract pdf

Bücher und Buchbeiträge

2017

Angela Madeo, Patrizio Neff, Gabriele Barbagallo, Marco Valerio d’Agostino, Ionel-Dumitrel Ghiba
A review on wave propagation modeling in band-gap metamaterials via enriched continuum models
Part of the Advanced Structured Materials book series (STRUCTMAT) Vol. 69: Mathematical Modelling in Solid Mechanics; pp. 89-105, Springer
arXiv:1609.01073v1 pdf

Angela Madeo, Patrizio Neff
Dispersion of waves in micromorphic media and metamaterials
Chapter in book: Handbook of nonlogical continuum mechanics for materials and structures, pp. 1-27

Angela Madeo, Patrizio Neff, Gabriele Barbagallo, Marco Valerio d’Agostino, Ionel-Dumitrel Ghiba
A review on wave propagation modeling in band-gap metamaterials via enriched continuum models
Chapter in book: Mathematical Modelling in Solid Mechanics, pp. 89-105
arXiv:1609.01073 pdf

Patrizio Neff, Robert J. Martin, Bernhard Eidel
New thoughts in Nonlinear Elasticity Theory via Hencky’s logarithmic strain tensor
Chapter in book: Mathematical Modelling in Solid Mechanics, pp.165-180
pdf

Mircea Birsan, Patrizio Neff
Analysis of the deformation of Cosserat elastic shells using the dislocation density tensor
Chapter in book: Mathematical Modelling in Solid Mechanics, pp.13-30
pdf

2014

Patrizio Neff, Dirk Pauly
Eine Fusion in der Mathematik - Über das Verschmelzen zweier Kerngebiete der Angewandten Mathematik
Essener Unikate ; 2014 Vol. 45, pp. 28–37 (A common generalization of Korn's and Poincare's inequality)
pdf

Patrizio Neff, Ionel-Dumitrel Ghiba
Comparison of isotropic elasto-plastic models for the plastic metric tensor Cp=FpT·Fp
Chapter in book "Innovative numerical approaches for coupled multi-scale problems", Proc.  IUTAM Symposium on innovative numerical approaches for materials and structures in multi-field and multi-scale problems
arXiv:1410.2818 pdf

Patrizio Neff
Existence of minimizers in nonlinear elastostatics of micromorphic Solids
Chapter in book "Encyclopedia of Thermal Stresses" (2014), Springer
abstract pdf

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
On an extension of Korn'sfirst inequality to incompatible tensor fields on domains of arbitrary dimensions
Modeling, Simulation and Optimization for Science and Technology - Computational Methods in Applied Sciences - pp.139-159, Verlag: Springer Netherlands
arXiv:1302.2661abstract pdf

2013

Mircea Birsan, Patrizio Neff
On the characterization of drilling rotation in the 6-parameter resultant shell theory
Shell-Structures: Theory and Applications (2013), Vol. 3, Taylor and Francis Group
arXiv:1303.1979

2010

Jörg Schröder, Patrizio Neff
Poly-, quasi- and rank-one convexity in applied mechanics
CISM International Centre for Mechanical Sciences, Vol. 516 (2010)
abstract pdf Book performance Report 2014

Patrizio Neff, Jena Jeong, Ingo Münch, Hamidreza Ramezani
Linear Cosserat elasticity, conformal curvature and bounded Stiffness
Mechanics of Generalized Continua,Adv. Mech. Math. (2010), Vol. 21 , pp. 55-63
abstract pdf

Ingo Münch, Patrizio Neff
A nonlinear micropolar continuum theory for initial plasticity
Advances and Trends in Structural Engineering, Mechanics and Computation (2010), CRC Press/Balkema, ISBN 978-0-415-58472-2, pp. 269-272

Daniel Balzani, Jörg Schröder, Patrizio Neff
Applications of anisotropic polyconvex energies: thin shells and biomechanics of aterial walls
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
CISM International Centre for Mechanical Sciences Volume 516, 2010, pp. 131-175
abstract pdf

Vera Ebbing, Patrizio Neff
Construction of polyconvex energies for non-trivial anisotropy classes
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
CISM International Centre for Mechanical Sciences Volume 516, 2010, pp. 107-130
abstract pdf

Patrizio Neff
Γ-convergence for a geometrically exact Cosserat shell-model of defective elastic crystals
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
CISM International Centre for Mechanical Sciences Volume 516, 2010, pp. 301-361
abstract pdf

2009

Vera Ebbing, Jörg Schröder, Paul Steinmann, Patrizio Neff
On the computation of configurational forces in anisotropic hyperelastic solids
IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, pp. 261–270, IUTAM Bookser., 17, Springer, Dordrecht, 2009
abstract pdf

Patrizio Neff, Kwon-Il Hong
The Reissner-Mindlin plate is the Γ-limit of linear Cosserat elasticity.
Shell-Structures: Theory and Applications (2009), Vol. 2, Taylor and Francis Group, pp. 91-94.

Jörg Schröder, Patrizio Neff, Vera Ebbing
Polyconvex energies for trigonal, tetragonal and cubic symmetry groups.
IUTAM-Symposium on Variational Concepts with Applications to the Mechanics of Materials (in Bochum, 2008) (2009), Kluwer Academic Publisher

2008

Patrizio Neff
Uniqueness of strong solutions in infinitesimal perfect gradient plasticity with plastic spin
IUTAM-Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media (in Cape Town, 2008) (2008), Springer, pp. 129-140
pdf

2006

Patrizio Neff, Krysztof Chełmiński
Elasto-Plasticity as a Limit of Cosserat-Plasticity.
3rd International Conference on Multiscale Materials Modeling, Section: Microstructural effects on mechanics of materials, Organizers: R. James and S. Müller (2006), Fraunhofer IRB Verlag, pp. 421-424

Joachim Schröder, Patrizio Neff
Polyconvex anisotropic hyperelasic energies
Chapter in book: III European Conference on Computational Mechanics Solids, Structures and Coupled Problems in Engineering: Book of Abstracts, Publisher: Springer Netherlands, pp.272

2005

Patrizio Neff
On material constants for micromorphic continua.
Trends in Applications of Mathematics to Mechanics, STAMM Proceedings, Seeheim 2004 (2005), Shaker Verlag, pp. 337-348

Patrizio Neff, Ingo Münch, Werner Wagner
Constitutive parameters for a nonlinear Cosserat model. A numerical study.
Oberwolfach Reports 52/2005, European Mathematical Society 2 (2005), no. 4, pp.2994

Daniel Balzani, Jörg Schröder, Dietmar Gross, Patrizio Neff
Modeling of anisotropic damage in arterial walls based on polyconvex stored energy functions
Computational Plasticity VIII, Fundamentals and Applications, Part 2 (2005), CIMNE, pp. 802-805

2003

Patrizio Neff
Local existence and uniqueness for a model of finite multiplicative visco-plasticity and the role of an extended Korn's first inequality
Progress in Analysis, Vol. I, II (Berlin, 2001), pp. 1311–1315, World Sci. Publ., River Edge, NJ, 2003

Jörg Schröder, Patrizio Neff
On the construction of polyconvex anisotropic free energy functions
IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains (Stuttgart, 2001), pp. 171–180, Solid Mech. Appl., 108, Kluwer Acad. Publ., Dordrecht, 2003
abstract

Patrizio Neff
Some results concerning the mathematical treatment offinite plasticity
Deformation and Failure in Metallic Materials, Lecture Notes in Applied and Computational Mechanics (2002), Vol. 10, Springer Verlag, pp. 251-274
abstract pdf

Videos

Rank-one convexity and polyconvexity of Hencky-type energies
YouTube

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Poster

Jendrik Voss, Christian Thiel, Robert J. Martin, Patrizio Neff
Shear in nonlinear elasticity
July 2018 Poster

Eva Schweickert, Angela Mihai, Patrizio Neff
Homogeneous Cauchy stress induced by non-homogeneous deformations
April 2018 Poster

Jendrik Voss, Robert J. Martin, Herbert Baaser, Patrizio Neff
Anti-plane shear in nonlinear elasticity
February 2018 Poster

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
A Polyconvex extension of the logarithmic Hencky strain energy
January 2018 Poster 

Andreas Fischle, Patrizio Neff
Explicit optimal Cosserat rotations
January 2017 Poster

Ionel-Dumitrel Ghiba, Robert J. Martin, Patrizio Neff
Rank-one convexitiy implies polyconvexity for isotropic energies on SL(2)
September 2016 Poster

Mircea Birsan, Patrizio Neff
The 6-parameter Cosserat-shell model
September 2016 Poster

Giuseppe Montella, Sanjay Govindjee, Patrizio Neff
The exponentiated Henckey strain energy in modeling the tire derived material
August 2016 Poster

Patrizio Neff, Angela Madeo, Gabriele Barbagallo, Marco V. d'Agostino, Rafael Abreu, Ionel-Dumitrel Ghiba
Real wave propagation in the isotropic relaxed micromorphic model
June 2016 Poster

Patrizio Neff, Robert J. Martin, Ingo Münch, Bernhard Eidel
A brief history of logarithmic strain measures in nonlinear elasticity
May 2016 Poster

Patrizio Neff, Bernhard Eidel, Robert J. Martin
Geometry of logarithmic strain measures
May 2016 Poster

Patrizio Neff, Bernhard Eidel, Robert J. Martin
Strain tensors and strain measures in nonlinear elasticity
May 2015 Poster

Angela Madeo, Patrizio Neff, Ionel-Dumitrel Giba, Giuseppe Rosi, Marco V. d' Agostino, Gabriele Barbagallo
Reflection and transmission of elastic waves in non-local band-gap metamaterials
May 2016 Poster

Rafael Abreu, Jochen Kamm, A. Ferreira, Patrizio Neff
Modelling rotational waves in seismology
March 2016

Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba, Luca Placidi, Guiseppe Rosi, Rafael Abreu, Marco V. d'Agostino and Gabriele Barbagallo
Complete frequency band-gaps in the relaxed micromorphic model
January 2016 Poster

Gabriele Barbagallo, Marco V. d'Agostino, Rafael Abreu, Ionel-Dumitrel Ghiba, Angela Madeo and Patrizio Neff
Transparent anisotropy for the relaxed micromorphic model
anuary 2016 Poster

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
Rank-one convexity vs. polyconvexity for isochoric engergies on GL+(2)
January 2016 Poster

Lev A. Borisov, Patrizio Neff, Suvrit Sra, Christian Thiel
The sum of squared logarithms inequality
January 2016 Poster

Unveröffentlichte Beiträge

Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Ingo Münch
Correct traction boundary conditions in the indeterminate couple stress model
arXiv:1504.00448 pdf

Patrizio Neff, Bernhard Eidel, Robert J. Martin
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
arXiv:1402.4027 pdf



Prof. Dr. rer. nat. habil.
Patrizio Neff

Tel. +49(0)201/183-4243
patrizio.neff@uni-due.de

Raum WSC-S-4.13

Neff

Kontakt

Universität Duisburg-Essen
Fakultät für Mathematik
Mathematik-Carrée
Thea-Leymann-Straße 9
45127 Essen

 

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