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REFEREED JOURNAL PUBLICATIONS

2021

ref_biblio
Hung Le Quang, Qi-Chang He, Nicolas Auffray. Classification of first strain-gradient elasticity tensors by symmetry planes. Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2021. ⟨hal-03266635⟩ https://hal.archives-ouvertes.fr/hal-03266635
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Marc Olive, Nicolas Auffray. Symmetry classes in piezoelectricity from second-order symmetries. Mathematics and Mechanics of Complex Systems, International Research Center for Mathematics & Mechanics of Complex Systems (M&MoCS),University of L’Aquila in Italy, 2021, 9 (1), pp.77-105. ⟨hal-03021383v2⟩ https://hal.archives-ouvertes.fr/hal-03021383v2
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Nicolas Auffray, Houssam Abdoul-Anziz, Boris Desmorat. Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity. European Journal of Mechanics - A/Solids, Elsevier, In press, 87, pp.104202. ⟨10.1016/j.euromechsol.2020.104202⟩. ⟨hal-03084048⟩ https://hal.archives-ouvertes.fr/hal-03084048
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 DOI

2020

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Houssam Abdoul-Anziz, Nicolas Auffray, Boris Desmorat. Symmetry Classes and Matrix Representations of the 2D Flexoelectric Law. Symmetry, MDPI, 2020, 12 (4), pp.674. ⟨10.3390/symxx010005⟩. ⟨hal-02546207⟩ https://hal.archives-ouvertes.fr/hal-02546207
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Thibault Dassonville, Martin Poncelet, Nicolas Auffray. Toward a homogenizing machine. International Journal of Solids and Structures, Elsevier, 2020, 191–192, pp.534-549. ⟨10.1016/j.ijsolstr.2019.12.018⟩. ⟨hal-02406564⟩ https://hal.archives-ouvertes.fr/hal-02406564
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Giuseppe Rosi, Nicolas Auffray, Christelle Combescure. On the failure of classic elasticity in predicting elastic wave propagation in gyroid lattices for very long wavelengths. Symmetry, MDPI, 2020, 12 (8), pp.1243. ⟨10.3390/sym12081243⟩. ⟨hal-02800649v2⟩ https://hal.archives-ouvertes.fr/hal-02800649v2
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 DOI
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J. Yvonnet, Nicolas Auffray, V Monchiet. Computational second-order homogenization of materials with effective anisotropic strain-gradient behavior. International Journal of Solids and Structures, Elsevier, In press, 191-192, pp.434-448. ⟨10.1016/j.ijsolstr.2020.01.006⟩. ⟨hal-02431619⟩ https://hal.archives-ouvertes.fr/hal-02431619
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Vincent Monchiet, Nicolas Auffray, Julien Yvonnet. Strain-gradient homogenization: a bridge between the asymptotic expansion and quadratic boundary condition methods. Mechanics of Materials, Elsevier, In press, 143, pp.103309. ⟨10.1016/j.mechmat.2019.103309⟩. ⟨hal-02426301⟩ https://hal.archives-ouvertes.fr/hal-02426301
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2019

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Boris Desmorat, Nicolas Auffray. Space of 2D elastic materials: a geometric journey. Continuum Mechanics and Thermodynamics, Springer Verlag, 2019, 31, pp.1205-1229. ⟨hal-02135373⟩ https://hal.archives-ouvertes.fr/hal-02135373
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Rodrigue Desmorat, Nicolas Auffray, Boris Desmorat, Boris Kolev, Marc Olive. Generic separating sets for three-dimensional elasticity tensors. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2019, 475 (2226), pp.20190056. ⟨10.1098/rspa.2019.0056⟩. ⟨hal-01966221v2⟩ https://hal.archives-ouvertes.fr/hal-01966221v2
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Nicolas Auffray, Qi-Chang He, Hung Le Quang. Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity. International Journal of Solids and Structures, Elsevier, 2019, 159, pp.197-210. ⟨hal-01883208⟩ https://hal.archives-ouvertes.fr/hal-01883208
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Giuseppe Rosi, Nicolas Auffray. Continuum modelling of frequency dependent acoustic beam focusing and steering in hexagonal lattices. European Journal of Mechanics - A/Solids, Elsevier, 2019, 77, pp.103803. ⟨hal-02152132⟩ https://hal.archives-ouvertes.fr/hal-02152132
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2018

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M. Poncelet, A Somera, C. Morel, C Jailin, Nicolas Auffray. An experimental evidence of the failure of Cauchy elasticity for the overall modeling of a non-centro-symmetric lattice under static loading. International Journal of Solids and Structures, Elsevier, 2018, 147, pp.223-237. ⟨10.1016/j.ijsolstr.2018.05.028⟩. ⟨hal-01704787v2⟩ https://hal.archives-ouvertes.fr/hal-01704787v2
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Giuseppe Rosi, Luca Placidi, Nicolas Auffray. On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure. European Journal of Mechanics - A/Solids, Elsevier, 2018, 69, pp.179-191. ⟨hal-01674513⟩ https://hal.archives-ouvertes.fr/hal-01674513
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2017

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Marc Olive, Boris Kolev, Nicolas Auffray. A minimal integrity basis for the elasticity tensor. Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩. ⟨hal-01323543v2⟩ https://hal.archives-ouvertes.fr/hal-01323543v2
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Nicolas Auffray, Boris Kolev, Marc Olive. Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes. Mathematics and Mechanics of Solids, SAGE Publications, 2017, 9 (22), pp.1847-1865. ⟨10.1177/1081286516649017⟩. ⟨hal-01303964⟩ https://hal.archives-ouvertes.fr/hal-01303964
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2016

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Nicolas Auffray, Pierre Ropars. Invariant-based reconstruction of bidimensionnal elasticity tensors. International Journal of Solids and Structures, Elsevier, 2016, 87, pp.183-193. ⟨hal-01271359⟩ https://hal.archives-ouvertes.fr/hal-01271359
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H Nassar, Q.-C He, Nicolas Auffray. A generalized theory of elastodynamic homogenization for periodic media. International Journal of Solids and Structures, Elsevier, 2016, 84, pp.139-146. ⟨10.1016/j.ijsolstr.2016.01.022⟩. ⟨hal-01265019⟩ https://hal.archives-ouvertes.fr/hal-01265019
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Giuseppe Rosi, Nicolas Auffray. Anisotropic and dispersive wave propagation within strain-gradient framework. Wave Motion, Elsevier, 2016, 63 (120–134), ⟨10.1016/j.wavemoti.2016.01.009⟩. ⟨hal-01263683v2⟩ https://hal.archives-ouvertes.fr/hal-01263683v2
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Hussein Nassar, Qi-Chang He, Nicolas Auffray. On asymptotic elastodynamic homogenization approaches for periodic media. Journal of the Mechanics and Physics of Solids, Elsevier, 2016, 88, pp.274-290. ⟨hal-01249157⟩ https://hal.archives-ouvertes.fr/hal-01249157
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2015

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H. Nassar, Qi-Chang He, Nicolas Auffray. Willis elastodynamic homogenization theory revisited for periodic media. Journal of the Mechanics and Physics of Solids, Elsevier, 2015, 77, pp.158-178. ⟨10.1016/j.jmps.2014.12.011⟩. ⟨hal-01112307⟩ https://hal.archives-ouvertes.fr/hal-01112307
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Nicolas Auffray, Justin Dirrenberger, G Rosi. A complete description of bi-dimensional anisotropic strain-gradient elasticity. International Journal of Solids and Structures, Elsevier, 2015, 69–70, pp.195-206. ⟨10.1016/j.ijsolstr.2015.04.036⟩. ⟨hal-01145736⟩ https://hal.archives-ouvertes.fr/hal-01145736
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Nicolas Auffray. On the isotropic moduli of 2D strain-gradient elasticity. Continuum Mechanics and Thermodynamics, Springer Verlag, 2015, 27 (1), pp.5-19. ⟨10.1007/s00161-013-0325-6⟩. ⟨hal-00879525⟩ https://hal.archives-ouvertes.fr/hal-00879525
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Nicolas Auffray. On the algebraical structure of isotropic generalized elasticity theories. Mathematics and Mechanics of Solids, SAGE Publications, 2015, 20 (5), pp.565-581. ⟨10.1177/1081286513507941⟩. ⟨hal-00856486⟩ https://hal.archives-ouvertes.fr/hal-00856486
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2014

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Marc Olive, Nicolas Auffray. Symmetry classes for odd-order tensors. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Wiley-VCH Verlag, 2014, 94 (5), pp.421-447. ⟨10.1002/zamm.201200225⟩. ⟨hal-00832489⟩ https://hal.archives-ouvertes.fr/hal-00832489
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Marc Olive, Nicolas Auffray. Isotropic invariants of a completely symmetric third-order tensor. Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (9), pp.1.4895466. ⟨10.1063/1.4895466⟩. ⟨hal-00960463⟩ https://hal.archives-ouvertes.fr/hal-00960463
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Nicolas Auffray, Boris Kolev, Michel Petitot. On anisotropic polynomial relations for the elasticity tensor. Journal of Elasticity, Springer Verlag, 2014, 115 (1), pp.77-103. ⟨10.1007/s10659-013-9448-z⟩. ⟨hal-00827948⟩ https://hal.archives-ouvertes.fr/hal-00827948
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Nicolas Auffray. Analytical expressions for odd-order anisotropic tensor dimension. Comptes Rendus Mécanique, Elsevier, 2014, 342 (5), pp.284-291. ⟨10.1016/j.crme.2014.01.012⟩. ⟨hal-00922063⟩ https://hal.archives-ouvertes.fr/hal-00922063
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2013

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Nicolas Auffray, F. Dell'Isola, V. Eremeyev, A. Madeo, G. Rosi. Analytical continuum mechanics à la Hamilton-Piola: least action principle for second gradient continua and capillary fluids. Mathematics and Mechanics of Solids, SAGE Publications, 2013. ⟨hal-00836085⟩ https://hal.archives-ouvertes.fr/hal-00836085
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Marc Olive, Nicolas Auffray. Symmetry classes for even-order tensors. Mathematics and Mechanics of Complex Systems, International Research Center for Mathematics & Mechanics of Complex Systems (M&MoCS),University of L’Aquila in Italy, 2013, 1 (2), pp.177--210. ⟨10.2140/memocs.2013.1.177⟩. ⟨hal-00771260⟩ https://hal.archives-ouvertes.fr/hal-00771260
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Nicolas Auffray, Hung Le Quang, Qi-Chang He. Matrix representations for 3D strain-gradient elasticity. Journal of the Mechanics and Physics of Solids, Elsevier, 2013, 61 (5), pp.1202-1223. ⟨10.1016/j.jmps.2013.01.003⟩. ⟨hal-00771223⟩ https://hal.archives-ouvertes.fr/hal-00771223
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2012

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D.-K. Trinh, R. Jänicke, Nicolas Auffray, S. Diebels, Samuel Forest. Evaluation of generalized continuum substitution models for heterogeneous materials. International Journal for Multiscale Computational Engineering, Begell House, 2012, 10 (6), pp.527-549. ⟨10.1615/IntJMultCompEng.2012003105⟩. ⟨hal-00718875⟩ https://hal.archives-ouvertes.fr/hal-00718875
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 DOI

COMMUNICATIONS IN INTERNATIONAL AND NATIONAL CONFERENCES

2021

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Giuseppe Rosi, Nicolas Auffray. Advances In Modelling Wave Propagation In Non-Centrosymmetric Architectured Materials,. 14th World Congress on Computational Mechanics (WCCM) ECCOMAS Congress 2020, Jul 2021, Paris (Virtual), France. ⟨hal-03285346⟩ https://hal.archives-ouvertes.fr/hal-03285346
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Giuseppe Rosi, Nicolas Auffray. Elastic wave propagation in non-centrosymmetric and chiral architectured materials: insights from strain gradient elasticity. IUTAM Symposium - Generalized continua emerging from microstructures, Jul 2021, Paris, France. ⟨hal-03285351⟩ https://hal.archives-ouvertes.fr/hal-03285351
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Maxence Wangermez, Martin Poncelet, Nicolas Auffray. Experimental Characterization 
Of 
Architectured Materials’ Effective Mechanical Behavior. UP-COMECH2021 : e-Workshop on design and analysis of non-classical architectured materials, Apr 2021, Paris (Virtual), France. ⟨hal-03201638⟩ https://hal.archives-ouvertes.fr/hal-03201638
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Nicolas Auffray, Boris Desmorat, Houssam Abdoul-Anziz. Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity.. up-comech2021 : e-Workshop on design and analysis of non-classical architectured materials, Apr 2021, Paris (Virtual), France. ⟨hal-03285284⟩ https://hal.archives-ouvertes.fr/hal-03285284
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Maxence Wangermez, Martin Poncelet, Nicolas Auffray. Determination of Homogenized Continua Behaviors From Actual Printed Microstructures. International Union for Theoretical and Applied Mechanics (IUTAM) Symposium on Generalized Continua Emerging From Microstructures, Jul 2021, Paris, France. ⟨hal-03283719⟩ https://hal.archives-ouvertes.fr/hal-03283719
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Nicolas Auffray, Boris Desmorat, Houssam Abdoul-Anziz. Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity. IUTAM Symposium - Generalized continua emerging from microstructures, Jul 2021, Paris, France. ⟨hal-03285310⟩ https://hal.archives-ouvertes.fr/hal-03285310
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Houssam Abdoul-Anziz, Nicolas Auffray, Boris Desmorat. Symmetry detection for architectured flexoelectric materials. up-comech2021 : e-Workshop on design and analysis of non-classical architectured materials, Apr 2021, Paris (Virtual), France. ⟨hal-03287595⟩ https://hal.archives-ouvertes.fr/hal-03287595
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Maxence Wangermez, Martin Poncelet, Nicolas Auffray. Effective Behavior Of Architected Materials: A Testing Machine For Experimental Homogenization. 10th International Conference on Composite Testing and Model Identification (CompTest2021), May 2021, Lille (Vitual), France. ⟨hal-03232668⟩ https://hal.archives-ouvertes.fr/hal-03232668
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2019

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Thibault Dassonville, Martin Poncelet, Nicolas Auffray. Towards a KUBC homogenization for architected materials by experimental process. ICoNSoM, Jun 2019, Rome, Italy. ⟨hal-02196680⟩ https://hal.archives-ouvertes.fr/hal-02196680
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Thibault Dassonville, Martin Poncelet, Nicolas Auffray. Conception d'un dispositif d'homogénéisation expérimentale par KUBC. Journée F2M « Approches multi-échelles en mécanique des matériaux », Apr 2019, Paris, France. ⟨hal-02406553⟩ https://hal.archives-ouvertes.fr/hal-02406553
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Boris Kolev, Marc Olive, Rodrigue Desmorat, Boris Desmorat, Nicolas Auffray. Invariants et covariants en mécanique du solide. Congrès Français de mécanique, Aug 2019, Brest, France. ⟨hal-02357054⟩ https://hal.archives-ouvertes.fr/hal-02357054
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Martin Poncelet, Audrey Somera, Claire Morel, Clément Jailin, Nicolas Auffray. An experimental proof of the limitation of Cauchy elasticity in the case of non-center-symmetric latex under quasi-static loading. ICoNSoM, Jun 2019, Rome, Italy. ⟨hal-02196689⟩ https://hal.archives-ouvertes.fr/hal-02196689
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2018

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Boris Kolev, Nicolas Auffray, Boris Desmorat, Rodrigue Desmorat, Marc Olive, et al.. Invariants and covariants in Solid Mechanics. Symmetry and Computation, Apr 2018, Marseille, France. ⟨hal-01809205⟩ https://hal.archives-ouvertes.fr/hal-01809205
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Giuseppe Rosi, Nicolas Auffray. Frequency dependent acoustic propagation and beam steering in hexagonal lattices: continuum modeling in the framework of strain gradient elasticity. Workshop “Encounter of the third kind” on “Generalized continua and microstructures”, Apr 2018, Arpino, Italy. ⟨hal-01799078⟩ https://hal.archives-ouvertes.fr/hal-01799078
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Marc Olive, Boris Kolev, Nicolas Auffray. A Minimal Integrity Basis for the Elasticity Tensor. Engineering Mechanics Institute Conference 2018, May 2018, Boston, United States. ⟨hal-01810153⟩ https://hal.archives-ouvertes.fr/hal-01810153
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Fabrice Detrez, Nicolas Auffray, Cong Truc Nguyen, Xiaoxin Lu, Sebastien Roland. Growth modelling and mechanical study of anisotropy of polymer spherulite aggregates. International conference on Deformation, Yield and Fracture of Polymers. 17th DYFP, 2018, Kerkrade, Netherlands. ⟨hal-02864167⟩ https://hal.archives-ouvertes.fr/hal-02864167
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2017

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M. Poncelet, N. Auffray, Clément Jailin, Audrey Somera, Claire Morel. Experimental strain gradient evidence in non-central symmetric lattice. Proc. of EUROMECH579, 2017, Unknown, Unknown Region. ⟨hal-01576723⟩ https://hal.archives-ouvertes.fr/hal-01576723
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Martin Poncelet, Nicolas Auffray, Clément Jailin, Audrey Somera, Claire Morel. Experimental strain gradient evidence in non-central symmetric lattice. EUROMECH-Colloquium 579 on Generalized and microstructured continua, 2017, Arpino, Italy. ⟨hal-01576380⟩ https://hal.archives-ouvertes.fr/hal-01576380
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Fabrice Detrez, Nicolas Auffray, C. T. Nguyen, Luc Chevalier. Modèlisation de la croissance et étude des propriétés élastiques des agrégrats de sphérolites . 23ème Congrès Français de Mécanique (CFM 2017), 2017, Lille, France. ⟨hal-01576522⟩ https://hal.archives-ouvertes.fr/hal-01576522
Accès au bibtex
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Giuseppe Rosi, Luca Placidi, Nicolas Auffray. Anisotropic wave propagation within strain gradient framework: a focus on a mixed static-dynamic numerical procedure for parameter identification. EUROMECH-Colloquium 579 on Generalized and microstructured continua, 2017, Arpino, Italy. pp.195 - 206. ⟨hal-01576378⟩ https://hal.archives-ouvertes.fr/hal-01576378
Accès au bibtex

2015

ref_biblio
Nicolas Auffray, Giuseppe Rosi. Wave propagation in the framework of strain gradient continua. Workshop on Extended continuum theories for the numerically efficient modeling of multiscale phenomena, 2015, Bochum, Germany. ⟨hal-01576527⟩ https://hal.archives-ouvertes.fr/hal-01576527
Accès au bibtex
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Marc Olive, Boris Kolev, Nicolas Auffray. Les invariants du tenseur d'élasticité. 22ème congrès français de Mécanique [CFM2015], 2015, Lyon, France. ⟨hal-01576369⟩ https://hal.archives-ouvertes.fr/hal-01576369
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Giuseppe Rosi, Nicolas Auffray, Justin Dirrenberger. Wave propagation in the framework of strain gradient continua: the example of hexachiral materials. 22ème congrès français de Mécanique [CFM2015], Aug 2015, Lyon, France. ⟨hal-01576367⟩ https://hal.archives-ouvertes.fr/hal-01576367
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Giuseppe Rosi, Nicolas Auffray, Justin Dirrenberger. Wave propagation in hexachiral lattices modeled as strain gradient continua. European Solid Mechanics Conference (ESMC15), 2015, Madrid, Spain. ⟨hal-01576371⟩ https://hal.archives-ouvertes.fr/hal-01576371
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Nicolas Auffray. Tensor decompositions: Application to classical and generalized continua. Inaugural Summer School on Mechanics of generalized continua and their applications to engineering materials and structures, 2015, Arpino, Italy. ⟨hal-01576382⟩ https://hal.archives-ouvertes.fr/hal-01576382
Accès au bibtex

2014

ref_biblio
Hussein Nassar, Qi-Chang He, Nicolas Auffray. Toward an understanding of elastodynamic homogenization. Multi-physics modeling of solids, (MPMS14), 2014, Paris, France. ⟨hal-01576376⟩ https://hal.archives-ouvertes.fr/hal-01576376
Accès au bibtex

2013

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Marc Olive, Boris Kolev, Nicolas Auffray. Espace de tenseurs et théorie classique des invariants. 21ème Congrès Français de Mécanique Bordeaux, 2013, Bordeaux, France. pp._. ⟨hal-00827406⟩ https://hal.archives-ouvertes.fr/hal-00827406
Accès au bibtex

2012

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Nicolas Auffray, Hung Le Quang, Qi-Chang He. Matrix representations for 3D strain-gradient elasticity. Beijing-Paris Workshop on Micromechanics and Nanomechanics, Sep 2012, France. ⟨hal-00804996⟩ https://hal.archives-ouvertes.fr/hal-00804996
Accès au bibtex
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Nicolas Auffray, Marc Olive. Anisotropy of higher-orders gradient elasticity. Workshop on "Second Gradient and Generalized Continua", Mar 2012, Cisterna di Latina, Italy. ⟨hal-00805003⟩ https://hal.archives-ouvertes.fr/hal-00805003
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Nicolas Auffray. A Geometrical Picture of Third-Order Tensors. Generalized Continua as Models for Materials, Advanced Structured Materials, Sep 2012, Wittenberg, Germany. ⟨hal-00804999⟩ https://hal.archives-ouvertes.fr/hal-00804999
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2011

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Nicolas Auffray, Marc Bonnet, Stéphane Pagano. Identification de sources de chaleur dans le contexte de la thermographie infrarouge. 10e colloque national en calcul des structures, May 2011, Giens, France. 8 p. ; Clé USB. ⟨hal-00592878⟩ https://hal.archives-ouvertes.fr/hal-00592878
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INVITED CONFERENCES

2017

ref_biblio
Martin Poncelet, Nicolas Auffray, Clément Jailin, Audrey Somera, Claire Morel. Experimental strain gradient evidence in non-central symmetric lattice. EUROMECH-Colloquium 579 on Generalized and microstructured continua, 2017, Arpino, Italy. ⟨hal-01576380⟩ https://hal.archives-ouvertes.fr/hal-01576380
Accès au bibtex
ref_biblio
Giuseppe Rosi, Luca Placidi, Nicolas Auffray. Anisotropic wave propagation within strain gradient framework: a focus on a mixed static-dynamic numerical procedure for parameter identification. EUROMECH-Colloquium 579 on Generalized and microstructured continua, 2017, Arpino, Italy. pp.195 - 206. ⟨hal-01576378⟩ https://hal.archives-ouvertes.fr/hal-01576378
Accès au bibtex

2016

ref_biblio
Nicolas Auffray, Justin Dirrenberger, Martin Poncelet. Approche holiste de la chiralité dans les métamatériaux architecturés. Rencontres Franciliennes de Mécanique, 2016, Dammary Les Lys, France. ⟨hal-01576525⟩ https://hal.archives-ouvertes.fr/hal-01576525
Accès au bibtex

2015

ref_biblio
Nicolas Auffray, Giuseppe Rosi. Wave propagation in the framework of strain gradient continua. Workshop on Extended continuum theories for the numerically efficient modeling of multiscale phenomena, 2015, Bochum, Germany. ⟨hal-01576527⟩ https://hal.archives-ouvertes.fr/hal-01576527
Accès au bibtex
ref_biblio
Nicolas Auffray. Tensor decompositions: Application to classical and generalized continua. Inaugural Summer School on Mechanics of generalized continua and their applications to engineering materials and structures, 2015, Arpino, Italy. ⟨hal-01576382⟩ https://hal.archives-ouvertes.fr/hal-01576382
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INVITED CHAPTERS IN BOOKS

BOOKS

GUEST EDITOR OF BOOK SERIES

Dernière mise à jour : 09/06/2015
       

Equipe de recherche du laboratoire MSME : Retour à la page d'accueil de MSME