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Cited article:
Patrizio Neff, Ingo Münch
ESAIM: COCV, 14 1 (2008) 148-159
Published online: 2007-09-21
This article has been cited by the following article(s):
Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality
Sebastian Bahamonde, Christian G. Böhmer and Patrizio Neff
Journal of Mechanics of Materials and Structures 12 (5) 689 (2017)
DOI: 10.2140/jomms.2017.12.689
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The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments
Andreas Fischle, Patrizio Neff and Dierk Raabe
Zeitschrift für angewandte Mathematik und Physik 68 (4) (2017)
DOI: 10.1007/s00033-017-0834-4
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Rotational elasticity and couplings to linear elasticity
CG Böhmer and N Tamanini
Mathematics and Mechanics of Solids 20 (8) 959 (2015)
DOI: 10.1177/1081286513511093
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A Logarithmic Minimization Property of the Unitary Polar Factor in the Spectral and Frobenius Norms
Patrizio Neff, Yuji Nakatsukasa and Andreas Fischle
SIAM Journal on Matrix Analysis and Applications 35 (3) 1132 (2014)
DOI: 10.1137/130909949
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Enhanced numerical study of infinitesimal non-linear Cosserat theory based on the grain size length scale assumption
Jena Jeong and Hamidréza Ramézani
Computer Methods in Applied Mechanics and Engineering 199 (45-48) 2892 (2010)
DOI: 10.1016/j.cma.2010.05.017
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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
Mircea Bîrsan and Patrizio Neff
Mathematics and Mechanics of Solids 19 (4) 376 (2014)
DOI: 10.1177/1081286512466659
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Regularity of Weak Solution of Variational Problems Modeling the Cosserat Micropolar Elasticity
Yimei Li and Changyou Wang
International Mathematics Research Notices (2020)
DOI: 10.1093/imrn/rnaa202
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Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening
François Ebobisse, Patrizio Neff and Elias C Aifantis
The Quarterly Journal of Mechanics and Applied Mathematics 71 (1) 99 (2018)
DOI: 10.1093/qjmam/hbx026
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Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations
L Angela Mihai and Patrizio Neff
Mathematics and Mechanics of Solids 23 (4) 606 (2018)
DOI: 10.1177/1081286516682556
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NOTES ON STRAIN GRADIENT PLASTICITY: FINITE STRAIN COVARIANT MODELLING AND GLOBAL EXISTENCE IN THE INFINITESIMAL RATE-INDEPENDENT CASE
PATRIZIO NEFF, KRZYSZTOF CHEŁMIŃSKI and HANS-DIETER ALBER
Mathematical Models and Methods in Applied Sciences 19 (02) 307 (2009)
DOI: 10.1142/S0218202509003449
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Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions
Sebastian Bauer, Patrizio Neff, Dirk Pauly and Gerhard Starke
ESAIM: Control, Optimisation and Calculus of Variations 22 (1) 112 (2016)
DOI: 10.1051/cocv/2014068
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Uniqueness of integrable solutions to $${\nabla \zeta=G \zeta, \zeta|_\Gamma = 0}$$ for integrable tensor coefficients G and applications to elasticity
Johannes Lankeit, Patrizio Neff and Dirk Pauly
Zeitschrift für angewandte Mathematik und Physik 64 (6) 1679 (2013)
DOI: 10.1007/s00033-013-0314-4
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Well-posedness for the microcurl model in both single and polycrystal gradient plasticity
François Ebobisse, Patrizio Neff and Samuel Forest
International Journal of Plasticity (2017)
DOI: 10.1016/j.ijplas.2017.01.006
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A Riemannian approach to strain measures in nonlinear elasticity
Patrizio Neff, Bernhard Eidel, Frank Osterbrink and Robert Martin
Comptes Rendus Mécanique 342 (4) 254 (2014)
DOI: 10.1016/j.crme.2013.12.005
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A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model
Marco Valerio d'Agostino, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Angela Madeo and Patrizio Neff
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2017)
DOI: 10.1002/zamm.201600227
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Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticity
Johannes Lankeit, Patrizio Neff and Dirk Pauly
Comptes Rendus Mathematique 351 (5-6) 247 (2013)
DOI: 10.1016/j.crma.2013.01.017
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Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
Johannes Lankeit, Patrizio Neff and Frank Osterbrink
Zeitschrift für angewandte Mathematik und Physik 68 (1) (2017)
DOI: 10.1007/s00033-016-0755-7
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The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D
Andreas Fischle and Patrizio Neff
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97 (7) 828 (2017)
DOI: 10.1002/zamm.201500194
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Advanced Methods of Continuum Mechanics for Materials and Structures
Mircea Bîrsan and Patrizio Neff
Advanced Structured Materials, Advanced Methods of Continuum Mechanics for Materials and Structures 60 391 (2016)
DOI: 10.1007/978-981-10-0959-4_22
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Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity
Igor Velčić and Josip Tambača
Mathematics and Mechanics of Solids 15 (8) 812 (2010)
DOI: 10.1177/1081286509342270
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Subgrid interaction and micro-randomness – Novel invariance requirements in infinitesimal gradient elasticity
Patrizio Neff, Jena Jeong and Hamidréza Ramézani
International Journal of Solids and Structures 46 (25-26) 4261 (2009)
DOI: 10.1016/j.ijsolstr.2009.07.014
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A unifying perspective: the relaxed linear micromorphic continuum
Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Luca Placidi and Giuseppe Rosi
Continuum Mechanics and Thermodynamics 26 (5) 639 (2014)
DOI: 10.1007/s00161-013-0322-9
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Existence Theorem for Geometrically Nonlinear Cosserat Micropolar Model Under Uniform Convexity Requirements
Patrizio Neff, Mircea Bîrsan and Frank Osterbrink
Journal of Elasticity 121 (1) 119 (2015)
DOI: 10.1007/s10659-015-9517-6
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Semicontinuity theorem in the micropolar elasticity
Josip Tambača and Igor Velčić
ESAIM: Control, Optimisation and Calculus of Variations 16 (2) 337 (2010)
DOI: 10.1051/cocv/2009002
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Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity
Christian G. Böhmer, Patrizio Neff and Belgin Seymenoğlu
Wave Motion 60 158 (2016)
DOI: 10.1016/j.wavemoti.2015.09.006
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Mathematical Modelling in Solid Mechanics
Patrizio Neff, Robert J. Martin and Bernhard Eidel
Advanced Structured Materials, Mathematical Modelling in Solid Mechanics 69 165 (2017)
DOI: 10.1007/978-981-10-3764-1_11
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Maxwell meets Korn: A new coercive inequality for tensor fields in RN×N with square-integrable exterior derivative
Patrizio Neff, Dirk Pauly and Karl-Josef Witsch
Mathematical Methods in the Applied Sciences 35 (1) 65 (2012)
DOI: 10.1002/mma.1534
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Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn's second inequality
P. Neff and W. Pompe
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 94 (9) 784 (2014)
DOI: 10.1002/zamm.201300059
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Geometry of Logarithmic Strain Measures in Solid Mechanics
Patrizio Neff, Bernhard Eidel and Robert J. Martin
Archive for Rational Mechanics and Analysis 222 (2) 507 (2016)
DOI: 10.1007/s00205-016-1007-x
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Existence theorem for nonlinear micropolar elasticity
Josip Tambača and Igor Velčić
ESAIM: Control, Optimisation and Calculus of Variations 16 (1) 92 (2010)
DOI: 10.1051/cocv:2008065
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Transparent anisotropy for the relaxed micromorphic model: Macroscopic consistency conditions and long wave length asymptotics
Gabriele Barbagallo, Angela Madeo, Marco Valerio d’Agostino, et al.
International Journal of Solids and Structures 120 7 (2017)
DOI: 10.1016/j.ijsolstr.2017.01.030
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Hyperelastic bodies under homogeneous Cauchy stress induced by non-homogeneous finite deformations
L. Angela Mihai and Patrizio Neff
International Journal of Non-Linear Mechanics 89 93 (2017)
DOI: 10.1016/j.ijnonlinmec.2016.12.003
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Dynamic problems for metamaterials: Review of existing models and ideas for further research
Dionisio Del Vescovo and Ivan Giorgio
International Journal of Engineering Science 80 153 (2014)
DOI: 10.1016/j.ijengsci.2014.02.022
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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
Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo and Ingo Münch
Mathematics and Mechanics of Solids 22 (6) 1221 (2017)
DOI: 10.1177/1081286515625535
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Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
Mircea Bîrsan, Ionel-Dumitrel Ghiba, Robert J Martin and Patrizio Neff
Mathematics and Mechanics of Solids 24 (12) 4000 (2019)
DOI: 10.1177/1081286519856061
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Identification of Scale-Independent Material Parameters in the Relaxed Micromorphic Model Through Model-Adapted First Order Homogenization
Patrizio Neff, Bernhard Eidel, Marco Valerio d’Agostino and Angela Madeo
Journal of Elasticity 139 (2) 269 (2020)
DOI: 10.1007/s10659-019-09752-w
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On isotropy conditions in second gradient materials
Ingo Münch and Patrizio Neff
PAMM 16 (1) 735 (2016)
DOI: 10.1002/pamm.201610356
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Compatibility conditions of continua using Riemann–Cartan geometry
Christian G Böhmer and Yongjo Lee
Mathematics and Mechanics of Solids 108128652096145 (2020)
DOI: 10.1177/1081286520961453
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Poincaré meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields
Patrizio Neff, Dirk Pauly and Karl-Josef Witsch
Journal of Differential Equations 258 (4) 1267 (2015)
DOI: 10.1016/j.jde.2014.10.019
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A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
P. Neff and J. Jeong
ZAMM 89 (2) 107 (2009)
DOI: 10.1002/zamm.200800156
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Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure
Patrizio Neff and Ingo Münch
Continuum Mechanics and Thermodynamics 21 (3) 195 (2009)
DOI: 10.1007/s00161-009-0105-5
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Transversely isotropic material: nonlinear Cosserat versus classical approach
I. Münch, P. Neff and W. Wagner
Continuum Mechanics and Thermodynamics 23 (1) 27 (2011)
DOI: 10.1007/s00161-010-0150-0
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IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media
Patrizio Neff
IUTAM BookSeries, IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media 11 129 (2008)
DOI: 10.1007/978-1-4020-9090-5_12
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A higher order geometrically nonlinear Cosserat‐shell model with initial curvature effects
Patrizio Neff, Mircea Bîrsan and Ionel-Dumitrel Ghiba
PAMM 19 (1) (2019)
DOI: 10.1002/pamm.201900351
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Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
Patrizio Neff
CISM International Centre for Mechanical Sciences, Poly-, Quasi- and Rank-One Convexity in Applied Mechanics 516 301 (2010)
DOI: 10.1007/978-3-7091-0174-2_9
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A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector
François Ebobisse, Klaus Hackl and Patrizio Neff
Continuum Mechanics and Thermodynamics 31 (5) 1477 (2019)
DOI: 10.1007/s00161-019-00755-5
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Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d’Agostino and Patrizio Neff
Mathematics and Mechanics of Solids 24 (10) 3200 (2019)
DOI: 10.1177/1081286519838311
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The Isotropic Cosserat Shell Model Including Terms up to $O(h^{5})$. Part II: Existence of Minimizers
Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan and Patrizio Neff
Journal of Elasticity 142 (2) 263 (2020)
DOI: 10.1007/s10659-020-09795-4
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The Isotropic Cosserat Shell Model Including Terms up to $O(h^{5})$. Part I: Derivation in Matrix Notation
Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan and Patrizio Neff
Journal of Elasticity 142 (2) 201 (2020)
DOI: 10.1007/s10659-020-09796-3
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Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom
P. Neff, A. Fischle and I. Münch
Acta Mechanica 197 (1-2) 19 (2008)
DOI: 10.1007/s00707-007-0509-x
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Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy
Ingo Münch and Patrizio Neff
Mathematics and Mechanics of Solids 23 (1) 3 (2018)
DOI: 10.1177/1081286516666134
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A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor
François Ebobisse and Patrizio Neff
Mathematics and Mechanics of Solids 25 (2) 129 (2020)
DOI: 10.1177/1081286519845026
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The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’
Patrizio Neff, Kai Graban, Eva Schweickert and Robert J. Martin
Mathematics and Mechanics of Solids 108128651988059 (2020)
DOI: 10.1177/1081286519880594
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Derivation of a refined six-parameter shell model: descent from the three-dimensional Cosserat elasticity using a method of classical shell theory
Mircea Bîrsan
Mathematics and Mechanics of Solids 25 (6) 1318 (2020)
DOI: 10.1177/1081286519900531
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