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Nicolas Auffray

Publications N. Auffray
94
Documents

Research domains

Solid mechanics [physics.class-ph]

Skills

Publications

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Computation of minimal covariants bases for 2D coupled constitutive laws

Boris Desmorat , Marc Olive , Nicolas Auffray , Rodrigue Desmorat , Boris Kolev
International Journal of Engineering Science, 2023, 191, pp.103880. ⟨10.1016/j.ijengsci.2023.103880⟩
Journal articles hal-02888267v2
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Anisotropic Structure Of Two-Dimensional Linear Cosserat Elasticity

Nicolas Auffray , Saad El Ouafa , Giuseppe Rosi , Boris Desmorat
Mathematics and Mechanics of Complex Systems, 2022, ⟨10.2140/memocs.2022.10.321⟩
Journal articles hal-03287608v2
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Quasi-Periodic Lattices: pattern matters too

Audrey Somera , Martin Poncelet , Nicolas Auffray , Julien Réthoré
Scripta Materialia, 2022, 209, pp.114378. ⟨10.1016/j.scriptamat.2021.114378⟩
Journal articles hal-03406093v1
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Classification of first strain-gradient elasticity tensors by symmetry planes

Hung Le Quang , Qi-Chang He , Nicolas Auffray
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2021
Journal articles hal-03266635v1
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Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity

Nicolas Auffray , Houssam Abdoul-Anziz , Boris Desmorat
European Journal of Mechanics - A/Solids, 2021, 87, pp.104202. ⟨10.1016/j.euromechsol.2020.104202⟩
Journal articles hal-03084048v1
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Symmetry classes in piezoelectricity from second-order symmetries

Marc Olive , Nicolas Auffray
Mathematics and Mechanics of Complex Systems, 2021, 9 (1), pp.77-105
Journal articles hal-03021383v2
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Symmetry Classes and Matrix Representations of the 2D Flexoelectric Law

Houssam Abdoul-Anziz , Nicolas Auffray , Boris Desmorat
Symmetry, 2020, 12 (4), pp.674. ⟨10.3390/symxx010005⟩
Journal articles hal-02546207v1
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On the failure of classic elasticity in predicting elastic wave propagation in gyroid lattices for very long wavelengths

Giuseppe Rosi , Nicolas Auffray , Christelle Combescure
Symmetry, 2020, 12 (8), pp.1243. ⟨10.3390/sym12081243⟩
Journal articles hal-02800649v2
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Strain-gradient homogenization: a bridge between the asymptotic expansion and quadratic boundary condition methods

Vincent Monchiet , Nicolas Auffray , Julien Yvonnet
Mechanics of Materials, 2020, 143, pp.103309. ⟨10.1016/j.mechmat.2019.103309⟩
Journal articles hal-02426301v1
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Toward a homogenizing machine

Thibault Dassonville , Martin Poncelet , Nicolas Auffray
International Journal of Solids and Structures, 2020, 191–192, pp.534-549. ⟨10.1016/j.ijsolstr.2019.12.018⟩
Journal articles hal-02406564v1
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Generic separating sets for three-dimensional elasticity tensors

Rodrigue Desmorat , Nicolas Auffray , Boris Desmorat , Boris Kolev , Marc Olive
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019, 475 (2226), pp.20190056. ⟨10.1098/rspa.2019.0056⟩
Journal articles hal-01966221v2
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Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity

Nicolas Auffray , Qi-Chang He , Hung Le Quang
International Journal of Solids and Structures, 2019, 159, pp.197-210
Journal articles hal-01883208v1
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Space of 2D elastic materials: a geometric journey

Boris Desmorat , Nicolas Auffray
Continuum Mechanics and Thermodynamics, 2019, 31, pp.1205-1229
Journal articles hal-02135373v1
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Continuum modelling of frequency dependent acoustic beam focusing and steering in hexagonal lattices

Giuseppe Rosi , Nicolas Auffray
European Journal of Mechanics - A/Solids, 2019, 77, pp.103803
Journal articles hal-02152132v1
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On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure

Giuseppe Rosi , Luca Placidi , Nicolas Auffray
European Journal of Mechanics - A/Solids, 2018, 69, pp.179-191
Journal articles hal-01674513v1
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An experimental evidence of the failure of Cauchy elasticity for the overall modeling of a non-centro-symmetric lattice under static loading

M. Poncelet , A Somera , C. Morel , C Jailin , Nicolas Auffray
International Journal of Solids and Structures, 2018, 147, pp.223-237. ⟨10.1016/j.ijsolstr.2018.05.028⟩
Journal articles hal-01704787v2
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Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes

Nicolas Auffray , Boris Kolev , Marc Olive
Mathematics and Mechanics of Solids, 2017, 9 (22), pp.1847-1865. ⟨10.1177/1081286516649017⟩
Journal articles hal-01303964v1
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Invariant-based reconstruction of bidimensionnal elasticity tensors

Nicolas Auffray , Pierre Ropars
International Journal of Solids and Structures, 2016, 87, pp.183-193
Journal articles hal-01271359v1
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On asymptotic elastodynamic homogenization approaches for periodic media

Hussein Nassar , Qi-Chang He , Nicolas Auffray
Journal of the Mechanics and Physics of Solids, 2016, 88, pp.274-290
Journal articles hal-01249157v1
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Anisotropic and dispersive wave propagation within strain-gradient framework

Giuseppe Rosi , Nicolas Auffray
Wave Motion, 2016, 63 (120–134), ⟨10.1016/j.wavemoti.2016.01.009⟩
Journal articles hal-01263683v2
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A generalized theory of elastodynamic homogenization for periodic media

H Nassar , Q.-C He , Nicolas Auffray
International Journal of Solids and Structures, 2016, 84, pp.139-146. ⟨10.1016/j.ijsolstr.2016.01.022⟩
Journal articles hal-01265019v1

On the isotropic moduli of 2D strain-gradient elasticity

Nicolas Auffray
Continuum Mechanics and Thermodynamics, 2015, 27 (1), pp.5-19. ⟨10.1007/s00161-013-0325-6⟩
Journal articles hal-00879525v1
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A complete description of bi-dimensional anisotropic strain-gradient elasticity

Nicolas Auffray , Justin Dirrenberger , G Rosi
International Journal of Solids and Structures, 2015, 69–70, pp.195-206. ⟨10.1016/j.ijsolstr.2015.04.036⟩
Journal articles hal-01145736v1
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On the algebraical structure of isotropic generalized elasticity theories

Nicolas Auffray
Mathematics and Mechanics of Solids, 2015, 20 (5), pp.565-581. ⟨10.1177/1081286513507941⟩
Journal articles hal-00856486v1
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Willis elastodynamic homogenization theory revisited for periodic media

H. Nassar , Qi-Chang He , Nicolas Auffray
Journal of the Mechanics and Physics of Solids, 2015, 77, pp.158-178. ⟨10.1016/j.jmps.2014.12.011⟩
Journal articles hal-01112307v1
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Symmetry classes for odd-order tensors

Marc Olive , Nicolas Auffray
Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2014, 94 (5), pp.421-447. ⟨10.1002/zamm.201200225⟩
Journal articles hal-00832489v1
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On anisotropic polynomial relations for the elasticity tensor

Nicolas Auffray , Boris Kolev , Michel Petitot
Journal of Elasticity, 2014, 115 (1), pp.77-103. ⟨10.1007/s10659-013-9448-z⟩
Journal articles hal-00827948v1
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Analytical expressions for odd-order anisotropic tensor dimension

Nicolas Auffray
Comptes Rendus Mécanique, 2014, 342 (5), pp.284-291. ⟨10.1016/j.crme.2014.01.012⟩
Journal articles hal-00922063v1
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Isotropic invariants of a completely symmetric third-order tensor

Marc Olive , Nicolas Auffray
Journal of Mathematical Physics, 2014, 55 (9), pp.1.4895466. ⟨10.1063/1.4895466⟩
Journal articles hal-00960463v1
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Symmetry classes for even-order tensors

Marc Olive , Nicolas Auffray
Mathematics and Mechanics of Complex Systems, 2013, 1 (2), pp.177--210. ⟨10.2140/memocs.2013.1.177⟩
Journal articles hal-00771260v1
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Matrix representations for 3D strain-gradient elasticity

Nicolas Auffray , Hung Le Quang , Qi-Chang He
Journal of the Mechanics and Physics of Solids, 2013, 61 (5), pp.1202-1223. ⟨10.1016/j.jmps.2013.01.003⟩
Journal articles hal-00771223v1
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Identification of transient heat sources using the reciprocity gap

Nicolas Auffray , Marc Bonnet , Stéphane Pagano
Inverse Problems in Science and Engineering, 2013, 21, pp.721-738. ⟨10.1080/17415977.2012.731597⟩
Journal articles hal-00732679v1
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Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids

Nicolas Auffray , F. Dell'Isola , V. Eremeyev , A. Madeo , G. Rosi
Mathematics and Mechanics of Solids, 2013
Journal articles hal-00836085v1

Evaluation of generalized continuum substitution models for heterogeneous materials

D.-K. Trinh , R. Jänicke , Nicolas Auffray , S. Diebels , Samuel Forest
International Journal for Multiscale Computational Engineering, 2012, 10 (6), pp.527-549. ⟨10.1615/IntJMultCompEng.2012003105⟩
Journal articles hal-00718875v1
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Analytical expressions for anisotropic tensor dimension

Nicolas Auffray
Comptes Rendus Mécanique, 2010, 338 (5), pp.260-265. ⟨10.1016/j.crme.2010.04.003⟩
Journal articles hal-00486670v1
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Strain gradient elastic homogenization of bidimensional cellular media

Nicolas Auffray , Regis Bouchet , Y. Brechet
International Journal of Solids and Structures, 2010, 47 (13), pp.1698-1710. ⟨10.1016/j.ijsolstr.2010.03.011⟩
Journal articles hal-00486674v1
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Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior

Nicolas Auffray , Bouchet Regis , Yves Brechet
International Journal of Solids and Structures, 2009, 46 (2), pp.440-454. ⟨10.1016/j.ijsolstr.2008.09.009⟩
Journal articles hal-00445238v1
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Démonstration du théorème d'Hermann à partir de la méthode Forte-Vianello

Nicolas Auffray
Comptes Rendus Mécanique, 2008, 336 (5), pp.458-463. ⟨10.1016/j.crme.2008.02.003⟩
Journal articles hal-00529633v1
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Décomposition harmonique des tenseurs -Méthode spectrale-

Nicolas Auffray
Comptes Rendus Mécanique, 2008, 336, pp.370-375. ⟨10.1016/j.crme.2007.12.005⟩
Journal articles hal-00338830v1

Quasi-Periodic Lattices: pattern matters too

Audrey Somera , Martin Poncelet , Nicolas Auffray , Julien Réthoré
18th European Mechanics of Materials Conference (EMMC18), Apr 2022, Oxford, United Kingdom
Conference papers hal-04125021v1
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Étude de la dépendance du comportement mécanique des treillis quasi-périodiques au motif élémentaire

Audrey Somera , Martin Poncelet , Nicolas Auffray , Julien Réthoré
25ème Congrès Français de Mécanique, Aug 2022, Nantes, France
Conference papers hal-04125027v1

Toward the identification of a Cosserat effective continuum for quasi-periodic lattice materials

Audrey Somera , Martin Poncelet , Nicolas Auffray , Julien Réthoré
International Conference on Nonlinear Solid Mechanics (ICoNSoM 2022), Jun 2022, Alghero, Sardinia, Italy
Conference papers hal-04125025v1

Symmetry detection for architectured flexoelectric materials

Houssam Abdoul-Anziz , Nicolas Auffray , Boris Desmorat
up-comech2021 : e-Workshop on design and analysis of non-classical architectured materials, Apr 2021, Paris (Virtual), France
Conference papers hal-03287595v1

Advances In Modelling Wave Propagation In Non-Centrosymmetric Architectured Materials,

Giuseppe Rosi , Nicolas Auffray
14th World Congress on Computational Mechanics (WCCM) ECCOMAS Congress 2020, Jul 2021, Paris (Virtual), France
Conference papers hal-03285346v1

Determination of Homogenized Continua Behaviors From Actual Printed Microstructures

Maxence Wangermez , Martin Poncelet , Nicolas Auffray
International Union for Theoretical and Applied Mechanics (IUTAM) Symposium on Generalized Continua Emerging From Microstructures, Jul 2021, Paris, France
Conference papers hal-03283719v1

Elastic wave propagation in non-centrosymmetric and chiral architectured materials: insights from strain gradient elasticity

Giuseppe Rosi , Nicolas Auffray
IUTAM Symposium - Generalized continua emerging from microstructures, Jul 2021, Paris, France
Conference papers hal-03285351v1

Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity.

Nicolas Auffray , Boris Desmorat , Houssam Abdoul-Anziz
up-comech2021 : e-Workshop on design and analysis of non-classical architectured materials, Apr 2021, Paris (Virtual), France
Conference papers hal-03285284v1

Effective Behavior Of Architected Materials: A Testing Machine For Experimental Homogenization

Maxence Wangermez , Martin Poncelet , Nicolas Auffray
10th International Conference on Composite Testing and Model Identification (CompTest2021), May 2021, Lille (Virtual), France
Conference papers hal-03232668v1

Experimental Characterization 
Of 
Architectured Materials’ Effective Mechanical Behavior

Maxence Wangermez , Martin Poncelet , Nicolas Auffray
UP-COMECH2021 : e-Workshop on design and analysis of non-classical architectured materials, Apr 2021, Paris (Virtual), France
Conference papers hal-03201638v1

Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity

Nicolas Auffray , Boris Desmorat , Houssam Abdoul-Anziz
IUTAM Symposium - Generalized continua emerging from microstructures, Jul 2021, Paris, France
Conference papers hal-03285310v1
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Wave propagation in non-centrosymmetric architectured media

Giuseppe Rosi , Nicolas Auffray
Forum Acusticum, Dec 2020, Lyon, France. pp.207-208, ⟨10.48465/fa.2020.1102⟩
Conference papers hal-03235501v1

Invariants et covariants en mécanique du solide

Boris Kolev , Marc Olive , Rodrigue Desmorat , Boris Desmorat , Nicolas Auffray
Congrès Français de mécanique, Aug 2019, Brest, France
Conference papers hal-02357054v1

Conception d'un dispositif d'homogénéisation expérimentale par KUBC

Thibault Dassonville , Martin Poncelet , Nicolas Auffray
Journée F2M « Approches multi-échelles en mécanique des matériaux », Apr 2019, Paris, France
Conference papers hal-02406553v1

Towards a KUBC homogenization for architected materials by experimental process

Thibault Dassonville , Martin Poncelet , Nicolas Auffray
ICoNSoM, Jun 2019, Rome, Italy
Conference papers hal-02196680v1

An experimental proof of the limitation of Cauchy elasticity in the case of non-center-symmetric latex under quasi-static loading

Martin Poncelet , Audrey Somera , Claire Morel , Clément Jailin , Nicolas Auffray
ICoNSoM, Jun 2019, Rome, Italy
Conference papers hal-02196689v1

Growth modelling and mechanical study of anisotropy of polymer spherulite aggregates

Fabrice Detrez , Nicolas Auffray , Cong Truc Nguyen , Xiaoxin Lu , Sebastien Roland
International conference on Deformation, Yield and Fracture of Polymers. 17th DYFP, Mar 2018, Kerkrade, Netherlands
Conference papers hal-02864167v1

Frequency dependent acoustic propagation and beam steering in hexagonal lattices: continuum modeling in the framework of strain gradient elasticity

Giuseppe Rosi , Nicolas Auffray
Workshop “Encounter of the third kind” on “Generalized continua and microstructures”, Apr 2018, Arpino, Italy
Conference papers hal-01799078v1

A Minimal Integrity Basis for the Elasticity Tensor

Marc Olive , Boris Kolev , Nicolas Auffray
Engineering Mechanics Institute Conference 2018, May 2018, Boston, United States
Conference papers hal-01810153v1

Invariants and covariants in Solid Mechanics

Boris Kolev , Nicolas Auffray , Boris Desmorat , Rodrigue Desmorat , Marc Olive
Symmetry and Computation, Apr 2018, Marseille, France
Conference papers hal-01809205v1

Modèlisation de la croissance et étude des propriétés élastiques des agrégrats de sphérolites

Fabrice Detrez , Nicolas Auffray , C. T. Nguyen , Luc Chevalier
23ème Congrès Français de Mécanique (CFM 2017), 2017, Lille, France
Conference papers hal-01576522v1

Experimental strain gradient evidence in non-central symmetric lattice

Martin Poncelet , Nicolas Auffray , Clément Jailin , Audrey Somera , Claire Morel
EUROMECH-Colloquium 579 on Generalized and microstructured continua, 2017, Arpino, Italy
Conference papers hal-01576380v1

Anisotropic wave propagation within strain gradient framework: a focus on a mixed static-dynamic numerical procedure for parameter identification

Giuseppe Rosi , Luca Placidi , Nicolas Auffray
EUROMECH-Colloquium 579 on Generalized and microstructured continua, 2017, Arpino, Italy. pp.195 - 206
Conference papers hal-01576378v1

Approche holiste de la chiralité dans les métamatériaux architecturés

Nicolas Auffray , Justin Dirrenberger , Martin Poncelet
Rencontres Franciliennes de Mécanique, 2016, Dammary Les Lys, France
Conference papers hal-01576525v1

Des éléments d’une théorie exacte de l’homogénéisation élastodynamique de milieux périodiques

Hussein Nassar , Qi-Chang He , Nicolas Auffray
Premier Workshop Métamatériaux, LIA Coss’&Vita,, 2015, Noisy-Champs, France
Conference papers hal-01576374v1

Wave propagation in the framework of strain gradient continua

Nicolas Auffray , Giuseppe Rosi
Workshop on Extended continuum theories for the numerically efficient modeling of multiscale phenomena, 2015, Bochum, Germany
Conference papers hal-01576527v1
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Les invariants du tenseur d'élasticité

Marc Olive , Boris Kolev , Nicolas Auffray
22ème congrès français de Mécanique [CFM2015], 2015, Lyon, France
Conference papers hal-01576369v1

Wave propagation in hexachiral lattices modeled as strain gradient continua

Giuseppe Rosi , Nicolas Auffray , Justin Dirrenberger
Premier Workshop Métamatériaux, LIA Coss’&Vita, 2015, Noisy-Champ, France
Conference papers hal-01576373v1

Tensor decompositions: Application to classical and generalized continua

Nicolas Auffray
Inaugural Summer School on Mechanics of generalized continua and their applications to engineering materials and structures, 2015, Arpino, Italy
Conference papers hal-01576382v1

Wave propagation in hexachiral lattices modeled as strain gradient continua

Giuseppe Rosi , Nicolas Auffray , Justin Dirrenberger
European Solid Mechanics Conference (ESMC15), 2015, Madrid, Spain
Conference papers hal-01576371v1
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Wave propagation in the framework of strain gradient continua: the example of hexachiral materials

Giuseppe Rosi , Nicolas Auffray , Justin Dirrenberger
22ème congrès français de Mécanique [CFM2015], Aug 2015, Lyon, France
Conference papers hal-01576367v1

Toward an understanding of elastodynamic homogenization

Hussein Nassar , Qi-Chang He , Nicolas Auffray
Multi-physics modeling of solids, (MPMS14), 2014, Paris, France
Conference papers hal-01576376v1
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Espace de tenseurs et théorie classique des invariants

Marc Olive , Boris Kolev , Nicolas Auffray
21ème Congrès Français de Mécanique Bordeaux, 2013, Bordeaux, France. pp._
Conference papers hal-00827406v1

A Geometrical Picture of Third-Order Tensors

Nicolas Auffray
Generalized Continua as Models for Materials, Advanced Structured Materials, Sep 2012, Wittenberg, Germany
Conference papers hal-00804999v1

Anisotropy of higher-orders gradient elasticity

Nicolas Auffray , Marc Olive
Workshop on "Second Gradient and Generalized Continua", Mar 2012, Cisterna di Latina, Italy
Conference papers hal-00805003v1

Matrix representations for 3D strain-gradient elasticity

Nicolas Auffray , Hung Le Quang , Qi-Chang He
Beijing-Paris Workshop on Micromechanics and Nanomechanics, Sep 2012, France
Conference papers hal-00804996v1
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Identification de sources de chaleur dans le contexte de la thermographie infrarouge

Nicolas Auffray , Marc Bonnet , Stéphane Pagano
10e colloque national en calcul des structures, May 2011, Giens, France. 8 p. ; Clé USB
Conference papers hal-00592878v1
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Parabolic reciprocity gap for heat source identification

Nicolas Auffray , Marc Bonnet , Stéphane Pagano
European Conference on Computational Mechanics (ECCM 2010), May 2010, Paris, France
Conference papers hal-00496775v1
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Représentation graphique des coefficients d'anisotropie des milieux élastiques généralisés

Nicolas Auffray , R. Bouchet , Y. Brechet
19ème Congrès Francais de Mécanique, Aug 2009, Marseille, France. pp.1-2
Conference papers hal-00486663v1

Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior

Nicolas Auffray , R. Bouchet , Y. Brechet
11th Euromech-Mecamat, 2008, Italy. pp.1-2
Conference papers hal-00827683v1
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Modèles d'acoustique phénoménologiques -Application à la conception de matériau sur mesure-

Nicolas Auffray , R. Bouchet , Y. Bréchet
17ème Congrès Français de Mécanique (CFM), Aug 2007, Grenoble, France. pp.1-2
Conference papers hal-00338815v1
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Identification of Cosserat elastic overall media of quasi-periodic lattices

Audrey Somera , Martin Poncelet , Nicolas Auffray , Julien Réthoré
Colloque National Mécamat Aussois 2021+1 "Mécanique des matériaux architecturés", Jan 2022, Aussois, France
Conference poster hal-03547293v1
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Approche expérimentale de l'homogénéisation cinématique

Maxence Wangermez , Martin Poncelet , Nicolas Auffray
Colloque National Mécamat Aussois 2021+1 - "Mécanique des matériaux architecturés", Jan 2022, Aussois, France
Conference poster hal-03550132v1
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Least action principle for second gradient continua and capillary fluids: a Lagrangian approach following Piola's point of view

Nicolas Auffray , Francesco Dell'Isola , Victor Eremeyev , Angela Madeo , Luca Placidi
The complete works of Gabrio Piola: Volume I, 38, 2014, Advanced Structured Materials
Book sections hal-00955897v1
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Geometrical Picture of Third-Order Tensors

Nicolas Auffray
H. Altenbach et al. (eds.). Generalized Continua as Models for Materials, Advanced Structured Materials, Springer-Verlag Berlin Heidelberg, pp.17-40, 2013, ⟨10.1007/978-3-642-36394-8_2⟩
Book sections hal-00771244v2
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Class-jump phenomenon for physical symmetries in bi-dimensional space.

Nicolas Auffray , R. Bouchet , Y. Bréchet
Lecture Notes in Applied and Computational Mechanics, 46, Springer, pp.1-11, 2009, ⟨10.1007/978-3-642-00911-2_1⟩
Book sections hal-00338839v1
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Géométrie des espaces de tenseurs, application à l'élasticité anisotrope classique et généralisée

Nicolas Auffray
Mécanique des solides [physics.class-ph]. Université Paris-Est, 2017
Habilitation à diriger des recherches tel-01576384v1