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Author ID: auffray.nicolas Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year