Edit Profile (opens in new tab) Collet, Bernard A. Co-Author Distance Author ID: collet.bernard-a Published as: Collet, Bernard; Collet, B.; Collet, B. A.; Collet, Bernard A. more...less Documents Indexed: 25 Publications since 1975, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 19 Co-Authors with 21 Joint Publications 958 Co-Co-Authors all top 5 Co-Authors 5 single-authored 16 Michelitsch, Thomas M. 8 Nicolleau, Franck C. G. A. 8 Nowakowski, Andrzej F. 8 Riascos, Alejandro P. 4 Pouget, Joël 3 Challamel, Noël 3 Wang, Chien-Ming 2 Bestehorn, Michael 2 Elishakoff, Isaac 2 Maugin, Gérard A. 2 Picandet, Vincent 1 Altenbach, Holm 1 Destrade, Michel 1 Granger, Teo 1 Reddy, Junuthula Narasimha 1 Rousseau, Martine 1 Wang, Quan 1 Wang, Xingjun 1 Zhang, Zhen all top 5 Serials 5 International Journal of Engineering Science 3 Journal of Physics A: Mathematical and Theoretical 2 Chaos, Solitons and Fractals 2 Archive of Applied Mechanics 2 European Journal of Mechanics. A. Solids 1 Acustica 1 Wave Motion 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 International Journal of Structural Stability and Dynamics 1 Advanced Structured Materials all top 5 Fields 15 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 153 times in 129 Documents Cited by ▼ Year ▼ On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach. Zbl 1341.74094 Challamel, Noël; Zhang, Zhen; Wang, C. M.; Reddy, J. N.; Wang, Q.; Michelitsch, Thomas; Collet, Bernard 34 2014 Bleustein–Gulyaev waves in some functionally graded materials. Zbl 1101.74037 Collet, Bernard; Destrade, Michel; Maugin, Gérard A. 29 2006 Generalized models and non-classical approaches in complex materials. 1. Dedicated to the memory of Gérard Maugin. Zbl 1412.74004 16 2018 Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices. Zbl 1394.82009 Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 11 2017 Fractional random walk lattice dynamics. Zbl 1357.82059 Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 11 2017 Nonlocal constitutive laws generated by matrix functions: lattice dynamics models and their continuum limits. Zbl 1423.74085 Michelitsch, Thomas M.; Collet, Bernard; Wang, Xingjun 10 2014 A fractional generalization of the classical lattice dynamics approach. Zbl 1372.39021 Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 5 2016 Random walks with long-range steps generated by functions of Laplacian matrices. Zbl 1459.82109 Riascos, A. P.; Michelitsch, T. M.; Collet, B. A.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 5 2018 Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit. Zbl 1330.82013 Michelitsch, Thomas M.; Collet, Bernard; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. 5 2015 Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua. Zbl 1406.74628 Challamel, Noël; Picandet, Vincent; Collet, Bernard; Michelitsch, Thomas; Elishakoff, Isaac; Wang, C. M. 5 2015 Couplage magnetoelastique de surface dans les materiaux ferromagnetiques. Zbl 0321.73072 Collet, Bernard; Maugin, Gerard 4 1975 Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain. Zbl 1355.35051 Michelitsch, T. M.; Collet, B.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 4 2016 On nonlocal computation of eigenfrequencies of beams using finite difference and finite element methods. Zbl 1359.74198 Challamel, Noël; Picandet, Vincent; Elishakoff, Issac; Wang, Chien Ming; Collet, Bernard; Michelitsch, Thomas 4 2015 Higher order surface couplings in elastic ferromagnets. Zbl 0433.73095 Collet, B. 3 1978 Generalized space-time fractional dynamics in networks and lattices. Zbl 1484.82045 Michelitsch, Thomas M.; Riascos, Alejandro P.; Collet, Bernard A.; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. 2 2020 A nonlocal constitutive model generated by matrix functions for polyatomic periodic linear chains. Zbl 1341.82018 Michelitsch, Thomas; Collet, Bernard 2 2014 Modulational instability of two counter-propagating waves in a thin plate resting on elastic foundation. Zbl 0915.73020 Collet, Bernard; Pouget, Joël 1 1997 Nonlinear modulation of wave packets in a shallow shell on an elastic foundation. Zbl 1074.74583 Collet, B.; Pouget, J. 1 2001 On the behavior of shock waves in deformable dielectric materials. Zbl 0522.73086 Collet, B. 1 1983 Generalized space-time fractional dynamics in networks and lattices. Zbl 1484.82045 Michelitsch, Thomas M.; Riascos, Alejandro P.; Collet, Bernard A.; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. 2 2020 Generalized models and non-classical approaches in complex materials. 1. Dedicated to the memory of Gérard Maugin. Zbl 1412.74004 16 2018 Random walks with long-range steps generated by functions of Laplacian matrices. Zbl 1459.82109 Riascos, A. P.; Michelitsch, T. M.; Collet, B. A.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 5 2018 Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices. Zbl 1394.82009 Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 11 2017 Fractional random walk lattice dynamics. Zbl 1357.82059 Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 11 2017 A fractional generalization of the classical lattice dynamics approach. Zbl 1372.39021 Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 5 2016 Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain. Zbl 1355.35051 Michelitsch, T. M.; Collet, B.; Nowakowski, A. F.; Nicolleau, F. C. G. A. 4 2016 Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit. Zbl 1330.82013 Michelitsch, Thomas M.; Collet, Bernard; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. 5 2015 Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua. Zbl 1406.74628 Challamel, Noël; Picandet, Vincent; Collet, Bernard; Michelitsch, Thomas; Elishakoff, Isaac; Wang, C. M. 5 2015 On nonlocal computation of eigenfrequencies of beams using finite difference and finite element methods. Zbl 1359.74198 Challamel, Noël; Picandet, Vincent; Elishakoff, Issac; Wang, Chien Ming; Collet, Bernard; Michelitsch, Thomas 4 2015 On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach. Zbl 1341.74094 Challamel, Noël; Zhang, Zhen; Wang, C. M.; Reddy, J. N.; Wang, Q.; Michelitsch, Thomas; Collet, Bernard 34 2014 Nonlocal constitutive laws generated by matrix functions: lattice dynamics models and their continuum limits. Zbl 1423.74085 Michelitsch, Thomas M.; Collet, Bernard; Wang, Xingjun 10 2014 A nonlocal constitutive model generated by matrix functions for polyatomic periodic linear chains. Zbl 1341.82018 Michelitsch, Thomas; Collet, Bernard 2 2014 Bleustein–Gulyaev waves in some functionally graded materials. Zbl 1101.74037 Collet, Bernard; Destrade, Michel; Maugin, Gérard A. 29 2006 Nonlinear modulation of wave packets in a shallow shell on an elastic foundation. Zbl 1074.74583 Collet, B.; Pouget, J. 1 2001 Modulational instability of two counter-propagating waves in a thin plate resting on elastic foundation. Zbl 0915.73020 Collet, Bernard; Pouget, Joël 1 1997 On the behavior of shock waves in deformable dielectric materials. Zbl 0522.73086 Collet, B. 1 1983 Higher order surface couplings in elastic ferromagnets. Zbl 0433.73095 Collet, B. 3 1978 Couplage magnetoelastique de surface dans les materiaux ferromagnetiques. Zbl 0321.73072 Collet, Bernard; Maugin, Gerard 4 1975 all cited Publications top 5 cited Publications all top 5 Cited by 227 Authors 11 Michelitsch, Thomas M. 9 Challamel, Noël 8 Collet, Bernard A. 8 Riascos, Alejandro P. 7 Wang, Chien-Ming 5 Maugin, Gérard A. 5 Nicolleau, Franck C. G. A. 5 Nowakowski, Andrzej F. 4 Patnaik, Sansit 4 Reddy, Junuthula Narasimha 4 Semperlotti, Fabio 3 Daros, Carlos H. 3 Elishakoff, Isaac 3 Mortell, Michael Philip 3 Seymour, Brian R. 3 Sidhardh, Sai 3 Spagnuolo, Mario 3 Ting, Thomas C. T. 3 Zaera, Ramón 3 Zhang, Hong 2 Ansari, Reza 2 Bahaadini, Reza 2 Barchiesi, Emilio 2 Cao, Xiaoshan 2 Civalek, Ömer 2 Daher, Naoum 2 dell’Isola, Francesco 2 Fernández-Sáez, José 2 Freĭdin, Aleksandr Borisovich 2 Gebert, Martin 2 Giorgio, Ivan 2 Jin, Feng 2 Khoury, Justin 2 Kirca, Mesut 2 Nobili, Andrea 2 Norouzzadeh, Amir 2 Picandet, Vincent 2 Porubov, Alexey V. 2 Radi, Enrico 2 Rojas-Molina, Constanza 2 Shuvalov, Alexander L. 2 Spadini, Marco 2 Tuna, Meral 2 Wang, Xu 2 Zhang, Zhen 1 Abedi, Soudabeh 1 Achenbach, Jan D. 1 Adhikari, Sondipon 1 Affili, Elisa 1 Agiasofitou, Eleni K. 1 Alotta, Gioacchino 1 Amundsen, David E. 1 Angstmann, Christopher N. 1 Ani, Wafa 1 Araújo, Tanya 1 Arefi, Mohammad Mehdi 1 Askari, Hassan Randjbar 1 Askes, Harm 1 Aydogdu, Metin 1 Ba’ba’a, H. Al 1 Bacciocchi, Michele 1 Balogun, Oluwaseyi 1 Barretta, Raffaele 1 Behdad, Shahin 1 Belyankova, T. I. 1 Benzi, Michele 1 Berinskii, Ie 1 Bersani, Alberto Maria 1 Bianchi, Davide 1 Boreiry, Mahya 1 Boyer, Denis 1 Bruno-Alfonso, Alexys 1 Camotim, Dinar 1 Cazzani, Antonio M. 1 Chen, Youping 1 Chiroiu, Veturia 1 Darvizeh, Mansour 1 De Domenico, Dario 1 de Figueiredo Camargo, Rubens 1 Demir, Çiğdem 1 Deptulski, Rafael C. 1 Devel, Michel 1 Di Paola, Mario 1 Diaz, Adrian 1 Dineva, Petia S. 1 Dipierro, Serena 1 Donatelli, Marco 1 Du, Chaoliang 1 Durastante, Fabio 1 Dymitrowska, Magdalena 1 Ebrahimi, Farzad 1 El-Borgi, Sami 1 Eptaimeros, Konstantinos G. 1 Eraso-Hernandez, L. K. 1 Eremeyev, Victor A. 1 Erofeev, Vladimir I. 1 Eskandari, Morteza 1 Esmailzadeh, Ebrahim 1 Fantuzzi, Nicholas 1 Furati, Khaled M. ...and 127 more Authors all top 5 Cited in 46 Serials 16 European Journal of Mechanics. A. Solids 15 International Journal of Engineering Science 7 Acta Mechanica 7 Mathematics and Mechanics of Solids 6 Wave Motion 6 Applied Mathematical Modelling 4 Meccanica 3 Physica A 3 Chaos, Solitons and Fractals 3 Continuum Mechanics and Thermodynamics 3 Nonlinear Dynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Physics A: Mathematical and Theoretical 3 Mechanics of Solids 2 International Journal of Solids and Structures 2 Applied Mathematics and Computation 2 Computational Mechanics 2 Archive of Applied Mechanics 2 Fractional Calculus & Applied Analysis 2 Journal of Cosmology and Astroparticle Physics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Journal of Optimization Theory and Applications 1 Mechanics Research Communications 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Journal of Elasticity 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Waves in Random and Complex Media 1 International Journal of Structural Stability and Dynamics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 22 Fields 97 Mechanics of deformable solids (74-XX) 20 Statistical mechanics, structure of matter (82-XX) 15 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 4 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year