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75

Publications N. Auffray


Journal articles33 documents

  • 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⟩
  • 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⟩
  • 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, ⟨10.3390/sym12081243⟩. ⟨hal-02800649v2⟩
  • Houssam Abdoul-Anziz, Nicolas Auffray, Boris Desmorat. Symmetry Classes and Matrix Representations of the 2D Flexoelectric Law. Symmetry, MDPI, 2020, ⟨10.3390/symxx010005⟩. ⟨hal-02546207⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • Nicolas Auffray. Analytical expressions for odd-order anisotropic tensor dimension. Comptes Rendus Mécanique, Elsevier Masson, 2014, 342 (5), pp.284-291. ⟨10.1016/j.crme.2014.01.012⟩. ⟨hal-00922063⟩
  • Marc Olive, Nicolas Auffray. Symmetry classes for even-order tensors. Mathematics and Mechanics of Complex Systems, mdp, 2013, 1 (2), pp.177--210. ⟨10.2140/memocs.2013.1.177⟩. ⟨hal-00771260⟩
  • 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⟩
  • Nicolas Auffray, Marc Bonnet, Stéphane Pagano. Identification of transient heat sources using the reciprocity gap. Inverse Problems in Science and Engineering, Taylor & Francis, 2013, 21, pp.721-738. ⟨10.1080/17415977.2012.731597⟩. ⟨hal-00732679⟩
  • 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⟩
  • 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⟩
  • Nicolas Auffray. Analytical expressions for anisotropic tensor dimension. Comptes Rendus Mécanique, Elsevier Masson, 2010, 338 (5), pp.260-265. ⟨10.1016/j.crme.2010.04.003⟩. ⟨hal-00486670⟩
  • Nicolas Auffray, Regis Bouchet, Y. Brechet. Strain gradient elastic homogenization of bidimensional cellular media. International Journal of Solids and Structures, Elsevier, 2010, 47 (13), pp.1698-1710. ⟨10.1016/j.ijsolstr.2010.03.011⟩. ⟨hal-00486674⟩
  • Nicolas Auffray, Bouchet Regis, Yves Brechet. Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior. International Journal of Solids and Structures, Elsevier, 2009, 46 (2), pp.440-454. ⟨10.1016/j.ijsolstr.2008.09.009⟩. ⟨hal-00445238⟩
  • Nicolas Auffray. Démonstration du théorème d'Hermann à partir de la méthode Forte-Vianello. Comptes Rendus Mécanique, Elsevier Masson, 2008, 336 (5), pp.458-463. ⟨10.1016/j.crme.2008.02.003⟩. ⟨hal-00529633⟩
  • Nicolas Auffray. Décomposition harmonique des tenseurs -Méthode spectrale-. Comptes Rendus Mécanique, Elsevier Masson, 2008, 336, pp.370-375. ⟨10.1016/j.crme.2007.12.005⟩. ⟨hal-00338830⟩

Conference papers29 documents

  • 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⟩
  • 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⟩
  • 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⟩
  • Thibault Dassonville, Martin Poncelet, Nicolas Auffray. Towards a KUBC homogenization for architected materials by experimental process. ICoNSoM, Jun 2019, Rome, Italy. ⟨hal-02196680⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • Marc Olive, Boris Kolev, Nicolas Auffray. Les invariants du tenseur d'élasticité. 22ème congrès français de Mécanique [CFM2015], 2015, Lyon, France. ⟨hal-01576369⟩
  • 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⟩
  • Giuseppe Rosi, Nicolas Auffray, Justin Dirrenberger. Wave propagation in hexachiral lattices modeled as strain gradient continua. Premier Workshop Métamatériaux, LIA Coss’&Vita, 2015, Noisy-Champ, France. ⟨hal-01576373⟩
  • Hussein Nassar, Qi-Chang He, Nicolas Auffray. Des éléments d’une théorie exacte de l’homogénéisation élastodynamique de milieux périodiques. Premier Workshop Métamatériaux, LIA Coss’&Vita,, 2015, Noisy-Champs, France. ⟨hal-01576374⟩
  • 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⟩
  • 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⟩
  • Hussein Nassar, Qi-Chang He, Nicolas Auffray. Toward an understanding of elastodynamic homogenization. Multi-physics modeling of solids, (MPMS14), 2014, Paris, France. ⟨hal-01576376⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • Nicolas Auffray. A Geometrical Picture of Third-Order Tensors. Generalized Continua as Models for Materials, Advanced Structured Materials, Sep 2012, Wittenberg, Germany. ⟨hal-00804999⟩
  • 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⟩
  • Nicolas Auffray, Marc Bonnet, Stéphane Pagano. Parabolic reciprocity gap for heat source identification. European Conference on Computational Mechanics (ECCM 2010), May 2010, Paris, France. ⟨hal-00496775⟩
  • Nicolas Auffray, R. Bouchet, Y. Brechet. Représentation graphique des coefficients d'anisotropie des milieux élastiques généralisés. 19ème Congrès Francais de Mécanique, Aug 2009, Marseille, France. pp.1-2. ⟨hal-00486663⟩
  • Nicolas Auffray, R. Bouchet, Y. Brechet. Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior. 11th Euromech-Mecamat, 2008, Italy. pp.1-2. ⟨hal-00827683⟩
  • Nicolas Auffray, R. Bouchet, Y. Bréchet. Modèles d'acoustique phénoménologiques -Application à la conception de matériau sur mesure-. 17ème Congrès Français de Mécanique (CFM), Aug 2007, Grenoble, France. pp.1-2. ⟨hal-00338815⟩

Book sections3 documents

  • Nicolas Auffray, Francesco Dell'Isola, Victor Eremeyev, Angela Madeo, Luca Placidi, et al.. Least action principle for second gradient continua and capillary fluids: a Lagrangian approach following Piola's point of view. The complete works of Gabrio Piola: Volume I, 38, 2014, Advanced Structured Materials. ⟨hal-00955897⟩
  • Nicolas Auffray. Geometrical Picture of Third-Order Tensors. 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⟩. ⟨hal-00771244v2⟩
  • Nicolas Auffray, R. Bouchet, Y. Bréchet. Class-jump phenomenon for physical symmetries in bi-dimensional space.. Lecture Notes in Applied and Computational Mechanics, 46, Springer, pp.1-11, 2009, ⟨10.1007/978-3-642-00911-2_1⟩. ⟨hal-00338839⟩

Patents2 documents

  • A. Rafray, Nicolas Auffray, Régis Bouchet, P. Josso, Jerome Lozat, et al.. METHOD FOR PREPARING A CELLULAR MATERIAL BASED ON HOLLOW METAL BEADS AND CELLULAR MATERIAL. Patent n° : EP2285561. 2011. ⟨hal-00827749⟩
  • Nicolas Auffray, M.-P. Bacos, Régis Bouchet, Vincent Marcadon, Sebastien Mercier, et al.. SOUND ABSORPTION DEVICE. Patent n° : WO/2011/048323. 2011. ⟨hal-00827739⟩

Preprints, Working Papers, ...6 documents

  • Boris Desmorat, Marc Olive, Nicolas Auffray, Rodrigue Desmorat, Boris Kolev. Computation of minimal covariants bases for 2D coupled constitutive laws. 2020. ⟨hal-02888267⟩
  • Marc Olive, Nicolas Auffray. Symmetry classes in piezoelectricity from second-order symmetrie. 2020. ⟨hal-03021383⟩
  • Nicolas Auffray, Houssam Abdoul-Anziz, Boris Desmorat. Explicit Harmonic Structure of Bidimensional Strain-Gradient Elasticity. 2020. ⟨hal-02900663⟩
  • Boris Desmorat, Nicolas Auffray. Space of 2D elastic materials: a geometric journey. 2018. ⟨hal-01906468⟩
  • Nicolas Auffray, Boris Kolev, Michel Petitot. Invariant-based approach to symmetry class detection. 2011. ⟨hal-00638020⟩
  • Nicolas Auffray, R. Bouchet. Considérations sur les symétries indicielles et matérielles d'un tenseur : Application à l'élasticité du second-gradient. 2008. ⟨hal-00325207⟩

Theses1 document

  • Nicolas Auffray. Comportement des matériaux cellulaires : élaboration, caractérisation et
    modélisation prédictive des propriétés. Mécanique [physics.med-ph]. Institut National Polytechnique de Grenoble - INPG, 2008. Français. ⟨tel-00360837v2⟩

Habilitation à diriger des recherches1 document

  • Nicolas Auffray. Géométrie des espaces de tenseurs, application à l'élasticité anisotrope classique et généralisée. Mécanique des solides [physics.class-ph]. Université Paris-Est, 2017. ⟨tel-01576384⟩