Edit Profile (opens in new tab) Auffray, Nicolas Co-Author Distance Author ID: auffray.nicolas Published as: Auffray, Nicolas; Auffray, N. Documents Indexed: 29 Publications since 2008, including 1 Additional arXiv Preprint Co-Authors: 12 Co-Authors with 16 Joint Publications 321 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Kolev, Boris 7 Olive, Marc 5 Desmorat, Boris 5 Rosi, Giuseppe A. 3 Bouchet, R. 3 Desmorat, Rodrigue 2 Petitot, Michel 1 Abdoul-Anziz, Houssam 1 Bonnet, Marc 1 dell’Isola, Francesco 1 El Ouafa, Saad 1 Eremeyev, Va 1 He, Qichang 1 Le Quang, Hung 1 Madeo, Angela 1 Pagano, Stéphane 1 Placidi, Luca all top 5 Serials 3 Journal of the Mechanics and Physics of Solids 3 Mathematics and Mechanics of Solids 3 European Journal of Mechanics. A. Solids 3 Comptes Rendus. Mécanique. Académie des Sciences, Paris 3 Mathematics and Mechanics of Complex Systems 2 International Journal of Solids and Structures 2 Journal of Elasticity 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Wave Motion 1 Continuum Mechanics and Thermodynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Inverse Problems in Science and Engineering 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 26 Mechanics of deformable solids (74-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 254 times in 194 Documents Cited by ▼ Year ▼ Analytical continuum mechanics à la Hamilton-piola least action principle for second gradient continua and capillary fluids. Zbl 1327.76008 Auffray, N.; dell’Isola, F.; Eremeyev, Va; Madeo, A.; Rosi, G. 95 2015 Matrix representations for 3D strain-gradient elasticity. Zbl 1260.74012 Auffray, N.; Le Quang, H.; He, Q. C. 41 2013 Willis elastodynamic homogenization theory revisited for periodic media. Zbl 1349.74302 Nassar, H.; He, Q.-C.; Auffray, N. 36 2015 On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure. Zbl 1406.74092 Rosi, Giuseppe; Placidi, Luca; Auffray, Nicolas 32 2018 Anisotropic and dispersive wave propagation within strain-gradient framework. Zbl 1469.74030 Rosi, Giuseppe; Auffray, N. 29 2016 Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior. Zbl 1168.74319 Auffray, N.; Bouchet, R.; Bréchet, Y. 26 2009 On anisotropic polynomial relations for the elasticity tensor. Zbl 1410.74004 Auffray, N.; Kolev, B.; Petitot, M. 22 2014 Symmetry classes for even-order tensors. Zbl 1391.15089 Olive, Marc; Auffray, Nicolas 19 2013 Strain gradient elastic homogenization of bidimensional cellular media. Zbl 1194.74281 Auffray, N.; Bouchet, R.; Bréchet, Y. 19 2010 A minimal integrity basis for the elasticity tensor. Zbl 1372.74013 Olive, Marc; Kolev, Boris; Auffray, Nicolas 17 2017 Isotropic invariants of a completely symmetric third-order tensor. Zbl 1366.53008 Olive, M.; Auffray, N. 16 2014 Symmetry classes for odd-order tensors. Zbl 1302.15030 Olive, M.; Auffray, N. 13 2014 On asymptotic elastodynamic homogenization approaches for periodic media. Zbl 1474.74083 Nassar, H.; He, Q.-C.; Auffray, N. 11 2016 Handbook of bi-dimensional tensors: part I: Harmonic decomposition and symmetry classes. Zbl 1391.74020 Auffray, N.; Kolev, B.; Olive, M. 10 2017 On the algebraic structure of isotropic generalized elasticity theories. Zbl 1327.74037 Auffray, N. 7 2015 Generic separating sets for three-dimensional elasticity tensors. Zbl 1472.74008 Desmorat, R.; Auffray, N.; Desmorat, B.; Kolev, B.; Olive, M. 7 2019 Continuum modelling of frequency dependent acoustic beam focussing and steering in hexagonal lattices. Zbl 1473.74077 Rosi, Giuseppe; Auffray, N. 7 2019 Harmonic decomposition of tensors - a spectral method. (Décomposition harmonique des tenseurs - méthode spectrale.) Zbl 1158.15305 Auffray, Nicolas 5 2008 On the isotropic moduli of 2D strain-gradient elasticity. Zbl 1341.74029 Auffray, Nicolas 5 2015 Explicit harmonic structure of bidimensional linear strain-gradient elasticity. Zbl 1485.74008 Auffray, N.; Abdoul-Anziz, H.; Desmorat, B. 5 2021 Proof of Hermann’s theorem using the Forte-Vianello’s method. (Démonstration du théorème d’hermann à partir de la méthode FORTE-vianello.) Zbl 1143.74309 Auffray, Nicolas 4 2008 Symmetry classes in piezoelectricity from second-order symmetries. Zbl 1508.74015 Olive, Marc; Auffray, Nicolas 4 2021 Identification of transient heat sources using the reciprocity gap. Zbl 1427.80015 Auffray, Nicolas; Bonnet, Marc; Pagano, Stéphane 3 2013 Analytical expressions for anisotropic tensor dimension. Zbl 1415.74017 Auffray, Nicolas 2 2010 Class-jump phenomenon for physical symmetries in bi-dimensional space. Zbl 1189.74013 Auffray, N.; Bouchet, R.; Bréchet, Y. 2 2009 Minimal functional bases for elasticity tensor symmetry classes. Zbl 1481.74064 Desmorat, R.; Auffray, N.; Desmorat, B.; Olive, M.; Kolev, B. 2 2021 Explicit harmonic structure of bidimensional linear strain-gradient elasticity. Zbl 1485.74008 Auffray, N.; Abdoul-Anziz, H.; Desmorat, B. 5 2021 Symmetry classes in piezoelectricity from second-order symmetries. Zbl 1508.74015 Olive, Marc; Auffray, Nicolas 4 2021 Minimal functional bases for elasticity tensor symmetry classes. Zbl 1481.74064 Desmorat, R.; Auffray, N.; Desmorat, B.; Olive, M.; Kolev, B. 2 2021 Generic separating sets for three-dimensional elasticity tensors. Zbl 1472.74008 Desmorat, R.; Auffray, N.; Desmorat, B.; Kolev, B.; Olive, M. 7 2019 Continuum modelling of frequency dependent acoustic beam focussing and steering in hexagonal lattices. Zbl 1473.74077 Rosi, Giuseppe; Auffray, N. 7 2019 On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure. Zbl 1406.74092 Rosi, Giuseppe; Placidi, Luca; Auffray, Nicolas 32 2018 A minimal integrity basis for the elasticity tensor. Zbl 1372.74013 Olive, Marc; Kolev, Boris; Auffray, Nicolas 17 2017 Handbook of bi-dimensional tensors: part I: Harmonic decomposition and symmetry classes. Zbl 1391.74020 Auffray, N.; Kolev, B.; Olive, M. 10 2017 Anisotropic and dispersive wave propagation within strain-gradient framework. Zbl 1469.74030 Rosi, Giuseppe; Auffray, N. 29 2016 On asymptotic elastodynamic homogenization approaches for periodic media. Zbl 1474.74083 Nassar, H.; He, Q.-C.; Auffray, N. 11 2016 Analytical continuum mechanics à la Hamilton-piola least action principle for second gradient continua and capillary fluids. Zbl 1327.76008 Auffray, N.; dell’Isola, F.; Eremeyev, Va; Madeo, A.; Rosi, G. 95 2015 Willis elastodynamic homogenization theory revisited for periodic media. Zbl 1349.74302 Nassar, H.; He, Q.-C.; Auffray, N. 36 2015 On the algebraic structure of isotropic generalized elasticity theories. Zbl 1327.74037 Auffray, N. 7 2015 On the isotropic moduli of 2D strain-gradient elasticity. Zbl 1341.74029 Auffray, Nicolas 5 2015 On anisotropic polynomial relations for the elasticity tensor. Zbl 1410.74004 Auffray, N.; Kolev, B.; Petitot, M. 22 2014 Isotropic invariants of a completely symmetric third-order tensor. Zbl 1366.53008 Olive, M.; Auffray, N. 16 2014 Symmetry classes for odd-order tensors. Zbl 1302.15030 Olive, M.; Auffray, N. 13 2014 Matrix representations for 3D strain-gradient elasticity. Zbl 1260.74012 Auffray, N.; Le Quang, H.; He, Q. C. 41 2013 Symmetry classes for even-order tensors. Zbl 1391.15089 Olive, Marc; Auffray, Nicolas 19 2013 Identification of transient heat sources using the reciprocity gap. Zbl 1427.80015 Auffray, Nicolas; Bonnet, Marc; Pagano, Stéphane 3 2013 Strain gradient elastic homogenization of bidimensional cellular media. Zbl 1194.74281 Auffray, N.; Bouchet, R.; Bréchet, Y. 19 2010 Analytical expressions for anisotropic tensor dimension. Zbl 1415.74017 Auffray, Nicolas 2 2010 Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior. Zbl 1168.74319 Auffray, N.; Bouchet, R.; Bréchet, Y. 26 2009 Class-jump phenomenon for physical symmetries in bi-dimensional space. Zbl 1189.74013 Auffray, N.; Bouchet, R.; Bréchet, Y. 2 2009 Harmonic decomposition of tensors - a spectral method. (Décomposition harmonique des tenseurs - méthode spectrale.) Zbl 1158.15305 Auffray, Nicolas 5 2008 Proof of Hermann’s theorem using the Forte-Vianello’s method. (Démonstration du théorème d’hermann à partir de la méthode FORTE-vianello.) Zbl 1143.74309 Auffray, Nicolas 4 2008 all cited Publications top 5 cited Publications all top 5 Cited by 275 Authors 17 Barchiesi, Emilio 17 dell’Isola, Francesco 15 Placidi, Luca 12 Eremeyev, Victor A. 12 Giorgio, Ivan 11 Olive, Marc 10 Desmorat, Boris 10 Kolev, Boris 9 Auffray, Nicolas 8 Turco, Emilio 7 Ciallella, Alessandro 7 Desmorat, Rodrigue 7 Misra, Anil 7 Rosi, Giuseppe A. 7 Solyaev, Yury O. 6 Abali, Bilen Emek 6 Ganghoffer, Jean-François 6 Spagnuolo, Mario 5 Bersani, Alberto Maria 5 Della Corte, Alessandro 5 Greco, Leopoldo 5 Javili, Ali 5 Lurie, Sergey A. 4 Eugster, Simon Raphael 4 Laudato, Marco 4 Madeo, Angela 4 Qi, Liqun 4 Steinmann, Paul 4 Zou, Wennan 3 Altenbach, Holm 3 Andreaus, Ugo A. 3 Battista, Antonio 3 Chen, Yannan 3 Cuomo, Massimo 3 d’Agostino, Marco Valerio 3 Del Vescovo, Dionisio 3 Di Cosmo, Fabio 3 Federico, Salvatore 3 Itin, Yakov 3 Lekszycki, Tomasz 3 McBride, Andrew T. 3 Naili, Salah 3 Niiranen, Jarkko 3 Putkaradze, Vakhtang 3 Rahali, Yosra 3 Reda, Hilal 3 Rizzi, Nicola Luigi 3 Yildizdag, M. Erden 2 Alavi, Seyed Ehsan 2 Azzi, Perla 2 Barbagallo, Gabriele 2 Baroudi, Djebar 2 Bouchet, R. 2 Bucci, Sara 2 Cazzani, Antonio M. 2 Chen, Zhongming 2 Drobnicki, Rafał 2 Farkhutdinov, Tagir 2 Fedele, Roberto 2 Forest, Samuel 2 Gay-Balmaz, François 2 Golgoon, Ashkan 2 Göransson, Peter 2 Grillo, Alfio 2 Hild, François 2 Khakalo, Sergei 2 Krawietz, Arnold 2 La Valle, Gabriele 2 Lakiss, Hassan 2 Lazar, Markus 2 Li, Baotong 2 Liu, Jinjie 2 Manzari, Luca 2 Müller, Wolfgang H. 2 Nasimsobhan, Maryam 2 Neff, Patrizio 2 Nguyen, Vu-Hieu 2 Niemi, Antti H. 2 Ostoja-Starzewski, Martin 2 Polizzotto, Castrenze 2 Poorsolhjouy, Payam 2 Rapisarda, Alessio Ciro 2 Ray, Manas Chandra 2 Rosa, Luigi 2 Sab, Karam 2 Sadighi, Mojtaba 2 Scrofani, Angelo 2 Shekarchizadeh, Navid 2 Sidhardh, Sai 2 Steigmann, David J. 2 Timofeev, Dmitry 2 Yang, Hua 2 Yavari, Arash 1 Abdoul-Anziz, Houssam 1 Abramian, S. 1 Admal, Nikhil Chandra 1 Agiasofitou, Eleni K. 1 Aguiar, Adair Roberto 1 Ahmed, Houari Mohammed Sid 1 Alibert, Jean-Jacques ...and 175 more Authors all top 5 Cited in 39 Serials 35 Mathematics and Mechanics of Solids 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Continuum Mechanics and Thermodynamics 12 Journal of Elasticity 12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 11 European Journal of Mechanics. A. Solids 8 Wave Motion 7 Mathematics and Mechanics of Complex Systems 6 Computer Methods in Applied Mechanics and Engineering 5 International Journal of Engineering Science 4 Acta Mechanica 4 Archive for Rational Mechanics and Analysis 4 Meccanica 4 Applied Mathematical Modelling 4 Lobachevskii Journal of Mathematics 3 Journal of the Mechanics and Physics of Solids 2 International Journal of Solids and Structures 2 Journal of Mathematical Physics 2 Foundations of Computational Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Journal of Engineering Mathematics 1 Dissertationes Mathematicae 1 Journal of Computational and Applied Mathematics 1 Physica D 1 Computational Mechanics 1 Applied Mathematics Letters 1 Archive of Applied Mechanics 1 Filomat 1 Journal of Applied Mechanics and Technical Physics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering all top 5 Cited in 31 Fields 173 Mechanics of deformable solids (74-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 15 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 8 Differential geometry (53-XX) 8 Mechanics of particles and systems (70-XX) 5 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year