Number of documents

66

Publications N. Auffray


Journal articles30 documents

  • 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, 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, In press, 475 (2226), pp.20190056. ⟨10.1098/rspa.2019.0056⟩. ⟨hal-01966221v2⟩
  • 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, 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, In press. ⟨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, In press, 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⟩
  • 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⟩
  • Hussein Nassar, Qi-Chang He, Nicolas Auffray. On asymptotic elastodynamic homogenization approaches for periodic mediaJ. 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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 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, 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⟩
  • Nicolas Auffray. On the algebraical structure of isotropic generalized elasticity theories. Mathematics and Mechanics of Solids, SAGE Publications, 2013, Accepted. ⟨10.1177/1081286513507941 ⟩. ⟨hal-00856486⟩
  • 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⟩
  • 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, Régis Bouchet, Y. Brechet. Strain gradient elastic homogenization of bidimensional cellular media. International Journal of Solids and Structures, Elsevier, 2010, 47 (13), pp.1698-1710. ⟨hal-00674877⟩
  • 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 papers26 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⟩
  • Thibault Dassonville, Martin Poncelet, Nicolas Auffray. Towards a KUBC homogenization for architected materials by experimental process. ICoNSoM, Jun 2019, Rome, Italy. ⟨hal-02196680⟩
  • 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, 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • 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⟩
  • Marc Olive, Boris Kolev, Nicolas Auffray. Les invariants du tenseur d'élasticité. 22ème congrès français de Mécanique [CFM2015], 2015, Lyon, France. ⟨hal-01576369⟩
  • 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⟩
  • 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⟩
  • 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, 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, 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 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

  • Nicolas Auffray, M.-P. Bacos, Régis Bouchet, Vincent Marcadon, Sebastien Mercier, et al.. SOUND ABSORPTION DEVICE. Patent n° : WO/2011/048323. 2011. ⟨hal-00827739⟩
  • 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⟩

Preprints, Working Papers, ...3 documents

  • 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⟩