Edit Profile (opens in new tab) Movchan, Alexander B. Compute Distance To: Compute Author ID: movchan.alexander-b Published as: Movchan, A. B.; Movchan, Alexander B.; Movchan, Alexander; Movchan, A.; Movchan, Alexander. B. more...less Homepage: http://www.maths.liv.ac.uk/~abm/ External Links: MGP · ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 185 Publications since 1986, including 7 Books 1 Contribution as Editor Reviewing Activity: 28 Reviews Co-Authors: 91 Co-Authors with 175 Joint Publications 1,428 Co-Co-Authors all top 5 Co-Authors 10 single-authored 34 Jones, Ian S. 22 McPhedran, Ross C. 21 Maz’ya, Vladimir Gilelevich 16 Mishuris, Gennady S. 14 Neves, Mario jun. 14 Willis, John Raymond 13 Poulton, Chris G. 11 Guenneau, Sébastien 10 Nazarov, Sergeĭ Aleksandrovich 9 Carta, Giorgio 8 Bigoni, Davide 8 Brun, Michele 8 Colquitt, Daniel J. 8 Slepyan, Leonid I. 7 Serkov, Sergey K. 7 Zalipaev, V. V. 6 Antipov, Yuri A. 6 Selsil, Ö. 5 Haslinger, Stewart G. 5 Kolaczkowski, S. T. 5 Nicorovici, Nicolae-Alexandru P. 4 Gei, Massimiliano 4 Kozlov, Vladimir A. 4 Milton, Graeme Walter 4 Movchan, Natasha V. 4 Nicolet, André 3 Aslanyan, A. G. 3 Avila-Pozos, Orlando 3 Botten, Lindsay C. 3 Morozov, Nikita Fedorovich 3 Movchan, Natalia V. 3 Piccolroaz, Andrea 3 Trȩbicki, Jerzy 3 Zolla, Frédéric 2 Bullough, Robin K. 2 Cherkaev, Andrej V. 2 Craster, Richard V. 2 Frecentese, S. 2 Giaccu, Gian F. 2 Howison, Samuel Dexter 2 Lacey, Andrew A. 2 Obrezanova, Olga A. 2 Ockendon, John R. 2 Papathanasiou, Theodosios K. 2 Platts, S. B. 2 Sobczyk, Kazimierz 2 Tallarico, Domenico 2 Truskinovsky, Lev 1 Alfutova, N. B. 1 Argani, L. P. 1 Arutyunyan, N. Kh. 1 Awdry, S. 1 Ayzenberg-Stepanenko, Mark V. 1 Bercial-Velez, J. P. 1 Bercial, J. P. 1 Berlyland, Leonid 1 Boiko, Tetiana 1 Camposaragna, Michele 1 Dal Corso, Francesco 1 Daniels, W. 1 Dempsey, John P. 1 Enoch, Stefan 1 Farhat, Mohamed 1 Garau, M. 1 Geuzaine, Christophe A. 1 Gibiansky, E. 1 Golovaty, Dmitry 1 Grabovsky, Yury 1 Halvorsen, Svenn Anton 1 Helsing, Johan 1 Henderson Moggach, C. 1 Karlin, Vladimir 1 Martinsson, Per-Gunnar 1 Misseroni, Diego 1 Morini, Lorenzo 1 Movchen, N. V. 1 Nieves, Michael 1 Phillips, Jonathan 1 Polyakova, Oksana R. 1 Radi, Enrico 1 Rodin, Gregory Jl 1 Sabina, Federico J. 1 Safarov, Yuri G. 1 Selsil, A. 1 Sher, Evgeny 1 Sobolev, Alexander V. 1 Vellender, Adam 1 Wall, Michael L. 1 Woolfries, S. 1 Zhelezina, E. V. 1 Zorin, I. S. all top 5 Serials 20 Quarterly Journal of Mechanics and Applied Mathematics 20 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Journal of the Mechanics and Physics of Solids 9 International Journal of Solids and Structures 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 European Journal of Applied Mathematics 6 Waves in Random and Complex Media 6 Acta Mechanica Sinica 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Multiscale Modeling & Simulation 4 Leningrad University Mechanics Bulletin 4 Continuum Mechanics and Thermodynamics 3 Journal of Applied Mathematics and Mechanics 3 Mathematical Methods in the Applied Sciences 3 Journal of Computational and Applied Mathematics 3 Asymptotic Analysis 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 SIAM Journal on Applied Mathematics 3 European Journal of Mechanics. A. Solids 3 International Journal of Fracture 2 IMA Journal of Applied Mathematics 2 International Journal of Engineering Science 2 Soviet Applied Mechanics 2 Mathematika 2 Journal of Mathematical Sciences (New York) 2 Mathematics and Mechanics of Solids 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Journal of Electromagnetic Waves and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Engineering Mathematics 1 Matematicheskie Zametki 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematische Nachrichten 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 COMPEL 1 Soviet Physics. Doklady 1 Comptes Rendus de l’Académie des Sciences. Série II 1 St. Petersburg Mathematical Journal 1 Applied Stochastic Models in Business and Industry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Variables and Elliptic Equations 1 Lecture Notes in Mathematics 1 Solid Mechanics and Its Applications 1 Monographs and Research Notes in Mathematics 1 Oxford Mathematical Monographs all top 5 Fields 155 Mechanics of deformable solids (74-XX) 47 Partial differential equations (35-XX) 13 Optics, electromagnetic theory (78-XX) 6 Fluid mechanics (76-XX) 4 History and biography (01-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 1,094 times in 585 Documents Cited by ▼ Year ▼ Asymptotic analysis of fields in multi-structures. Zbl 0951.35004Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 56 1999 Dynamic weight functions for a moving crack. I. Mode I loading. Zbl 0870.73057Willis, J. R.; Movchan, A. B. 30 1995 Green’s kernels and meso-scale approximations in perforated domains. Zbl 1273.35007Maz’ya, Vladimir; Movchan, Alexander; Nieves, Michael 29 2013 Applied partial differential equations. 2nd revised ed. Zbl 1059.35001Ockendon, John; Howison, Sam; Lacey, Andrew; Movchan, Alexander 27 2003 Vibrations of lattice structures and phononic band gaps. Zbl 1044.74020Martinsson, P. G.; Movchan, A. B. 26 2003 Asymptotic treatment of perforated domains without homogenization. Zbl 1185.35060Maz’ya, V.; Movchan, A. 25 2010 Asymptotic models of dilute composites with imperfectly bonded inclusions. Zbl 0918.73042Bigoni, D.; Serkov, S. K.; Valentini, M.; Movchan, A. B. 23 1998 Localised knife waves in a structured interface. Zbl 1244.74125Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 23 2009 Statics and dynamics of structural interfaces in elasticity. Zbl 1042.74034Bigoni, D.; Movchan, A. B. 22 2002 Asymptotic models of fields in dilute and densely packed composites. Zbl 1008.74002Movchan, A. B.; Movchan, N. V.; Poulton, C. G. 20 2002 Bloch-Floquet bending waves in perforated thin plates. Zbl 1130.74019Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 19 2007 Applied partial differential equations. Zbl 0927.35001Ockendon, John; Howison, Sam; Lacey, Andrew; Movchan, Alexander 18 1999 Eigenvalue problems for doubly periodic elastic structures and phononic band gaps. Zbl 0984.74036Poulton, C. G.; Movchan, A. B.; McPhedran, R. C.; Nicorovici, N. A.; Antipov, Y. A. 18 2000 The Rayleigh multipole method for linear elasticity. Zbl 0803.73012McPhedran, R. C.; Movchan, A. B. 17 1994 Band gap Green’s functions and localized oscillations. Zbl 1131.74026Movchan, Alexander B.; Slepyan, Leonid I. 16 2007 Green’s tensors and lattice sums for elastostatics and elastodynamics. Zbl 0869.73017Movchan, A. B.; Nicorovici, N. A.; McPhedran, R. C. 16 1997 Transformation elastodynamics and cloaking for flexural waves. Zbl 1328.74055Colquitt, D. J.; Brun, M.; Gei, M.; Movchan, A. B.; Movchan, N. V.; Jones, I. S. 16 2014 Wave scattering by platonic grating stacks. Zbl 1186.74059Movchan, N. V.; Mcphedran, R. C.; Movchan, A. B.; Poulton, C. G. 15 2009 Waves and fracture in an inhomogeneous lattice structure. Zbl 1191.74005Mishuris, G. S.; Movchan, A. B.; Slepyan, L. I. 15 2007 Elastic chiral waveguides with gyro-hinges. Zbl 1451.74129Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 15 2018 Dynamics of a prestressed stiff layer on an elastic half space: filtering and band gap characteristics of periodic structural models derived from long-wave asymptotics. Zbl 1171.74361Bigoni, D.; Gei, M.; Movchan, A. B. 15 2008 Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks. Zbl 1371.74239Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 14 2009 Stability of a dislocation: Discrete model. Zbl 0921.73229Movchan, A. B.; Bullough, R.; Willis, J. R. 14 1998 Dynamics of a bridged crack in a discrete lattice. Zbl 1138.74045Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 14 2008 Elastic waves and homogenization in oblique periodic structures. Zbl 1056.74031Zalipaev, V. V.; Movchan, A. B.; Poulton, C. G.; McPhedran, R. C. 14 2002 Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J. 14 2017 On perturbations of plane cracks. Zbl 0918.73055Movchan, A. B.; Gao, H.; Willis, J. R. 13 1998 Three-dimensional dynamic perturbation of a propagating crack. Zbl 0974.74555Willis, J. R.; Movchan, A. B. 13 1997 Mathematical modelling of solids with nonregular boundaries. Zbl 0868.73005Movchan, A. B.; Movchan, N. V. 13 1996 Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains. Zbl 1223.35293Maz’ya, V.; Movchan, A.; Nieves, M. 13 2011 Dynamics of structural interfaces: filtering and focussing effects for elastic waves. Zbl 1429.74017Brun, M.; Guenneau, S.; Movchan, A. B.; Bigoni, D. 13 2010 Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 13 2018 Uniform asymptotic formulae for Green’s tensors in elastic singulary perturbed domains. Zbl 1141.35011Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 12 2007 Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack. Zbl 1176.74161Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 12 2007 The cavity of the optimal shape under the shear stresses. Zbl 0917.73051Cherkaev, A. V.; Grabovsky, Y.; Movchan, A. B.; Serkov, S. K. 11 1998 Asymptotic analysis of a mixed boundary value problem in a multi- structure. Zbl 0812.35019Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 11 1994 The Pólya-Szegö matrices in asymptotic models of dilute composites. Zbl 0899.73306Movchan, A. B.; Serkov, S. K. 11 1997 Localization for a line defect in an infinite square lattice. Zbl 1371.74139Colquitt, D. J.; Nieves, M. J.; Jones, I. S.; Movchan, A. B.; Movchan, N. V. 11 2013 Crack in a lattice waveguide. Zbl 1425.74444Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S. 10 2010 Asymptotic representation of elastic fields in a multi-structure. Zbl 0846.73009Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 10 1995 Vortex-type elastic structured media and dynamic shielding. Zbl 1371.74154Brun, M.; Jones, I. S.; Movchan, A. B. 10 2012 Two-dimensional phononic crystals and scattering of elastic waves by an array of voids. Zbl 1039.74026Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 10 2002 Dynamic weight functions for a moving crack. II: Shear loading. Zbl 0899.73428Movchan, A. B.; Willis, J. R. 9 1995 Uniform asymptotic formulae for Green’s kernels in regularly and singularly perturbed domains. Zbl 1102.35012Maz’ya, Vladimir; Movchan, Alexander 9 2006 High-order asymptotics and perturbation problems for 3D interfacial cracks. Zbl 1120.74742Bercial-Velez, J. P.; Antipov, Y. A.; Movchan, A. B. 8 2005 Source-neutral Green’s functions for periodic problems in electrostatics, and their equivalents in electromagnetism. Zbl 0946.78006Poulton, C. G.; Botten, L. C.; McPhedran, R. C.; Movchan, A. B. 8 1999 Duality relations, correspondences and numerical results for planar elastic composites. Zbl 0969.74567Helsing, J.; Milton, G. W.; Movchan, A. B. 8 1997 Noncommuting limits in electromagnetic scattering: Asymptotic analysis for an array of highly conducting inclusions. Zbl 0979.35138Poulton, C. G.; Botten, L. C.; McPhedran, R. C.; Nicorovici, N. A.; Movchan, A. B. 8 2001 Fields in non-degenerate 1-D–3-D elastic multi-structures. Zbl 0988.74014Kozlov, V. A.; Maz’ya, V. G.; Movchan, A. B. 8 2001 Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres. Zbl 1092.78503Guenneau, S.; Poulton, C. G.; Movchan, A. B. 8 2003 Dispersion and localization of elastic waves in materials with microstructure. Zbl 1245.74025Colquitt, D. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 8 2011 Controlling flexural waves in semi-infinite platonic crystals with resonator-type scatterers. Zbl 1458.74078Haslinger, S. G.; Movchan, N. V.; Movchan, A. B.; Jones, I. S.; Craster, R. V. 8 2017 Asymptotics of eigenfrequencies in the dynamic response of elongated multi-structures. Zbl 1364.74047Brun, M.; Giaccu, G. F.; Movchan, A. B.; Movchan, N. V. 8 2012 Dynamic anisotropy and localization in elastic lattice systems. Zbl 1291.74119Colquitt, D. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; McPhedran, R. C. 8 2012 Dynamic interfacial trapping of flexural waves in structured plates. Zbl 1371.74140Haslinger, S. G.; Craster, R. V.; Movchan, A. B.; Movchan, N. V.; Jones, I. S. 7 2016 A correspondence between plane elasticity and the two-dimensional real and complex dielectric equations in anisotropic media. Zbl 0833.73044Milton, G. W.; Movchan, A. B. 6 1995 Active cloaking of inclusions for flexural waves in thin elastic plates. Zbl 1331.74085O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V. 6 2015 Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory. Zbl 0966.74079Karlin, V.; Maz’ya, V. G.; Movchan, A. B.; Willis, J. R.; Bullough, R. 6 2000 Bloch-Floquet waves and controlled stop bands in periodic thermo-elastic structures. Zbl 1191.74021Jones, I. S.; Movchan, A. B. 6 2007 Coupling between electromagnetic and mechanical vibrations of thin-walled structures. Zbl 1079.74029Guenneau, S.; Movchan, A. B.; Poulton, C. G.; Nicolet, A. 6 2004 Uniform asymptotics of Green’s kernels in perforated domains and meso-scale approximations. Zbl 1234.35264Maz’ya, V.; Movchan, A. 6 2012 Mesoscale models and approximate solutions for solids containing clouds of voids. Zbl 1381.35176Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 6 2016 Symmetry and resonant modes in platonic grating stacks. Zbl 1372.74056Haslinger, S. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 6 2014 Dynamical extraction of a single chain from a discrete lattice. Zbl 1171.74434Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 6 2008 Uniform asymptotic formulae for Green’s functions in singularly perturbed domains. Zbl 1134.35031Maz’ya, V.; Movchan, A. 5 2007 Two-parameter asymptotic approximations in the analysis of a thin solid fixed on a small part of its boundary. Zbl 1169.74010Zalipaev, V. V.; Movchan, A. B.; Jones, I. S. 5 2007 Integral characteristics of elastic inclusions and cavities in the two- dimensional theory of elasticity. Zbl 0753.73010Movchan, A. B. 5 1992 Band gaps and elastic waves in disordered stacks: normal incidence. Zbl 1116.74370Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 5 2003 Mathematical model of delamination cracks on imperfect interfaces. Zbl 1055.74037Antipov, Y. A.; Avila-Pozos, O.; Kolaczkowski, S. T.; Movchan, A. B. 5 2001 Asymptotic analysis of the reinforcement of a brittle crack by bridging fibres. Zbl 0784.73065Movchan, A. B.; Willis, J. R. 5 1993 Dynamic stability of a propagating crack. Zbl 1100.74620Obrezanova, O.; Movchan, A. B.; Willis, J. R. 5 2002 Waves in lattices with imperfect junctions and localized defect modes. Zbl 1145.74371Zalipaev, V. V.; Movchan, A. B.; Jones, I. S. 5 2008 Transmission, trapping and filtering of waves in periodically constrained elastic plates. Zbl 1243.74072Haslinger, Stewart G.; Movchan, Natasha V.; Movchan, Alexander B.; McPhedran, Ross C. 5 2012 Perturbation of mode III interfacial cracks. Zbl 1203.74132Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 5 2010 Green’s kernels for transmission problems in bodies with small inclusions. Zbl 1223.35123Maz’ya, V.; Movchan, A.; Nieves, M. 5 2010 Uniform asymptotic approximations of Green’s functions in a long rod. Zbl 1157.35303Maz’ya, V.; Movchan, A. 5 2008 Steady-state motion of a mode-III crack on imperfect interfaces. Zbl 1111.74037Mishuris, Gennady S.; Movchan, Natasha V.; Movchan, Alexander B. 5 2006 Convergence properties and flat bands in platonic crystal band structures using the multipole formulation. Zbl 1267.74060Poulton, C. G.; McPhedran, R. C.; Movchan, N. V.; Movchan, A. B. 4 2010 Polarization matrices and Wiener capacities for an operator in the theory of elasticity in doubly-connected domains. Zbl 0712.73012Movchan, A. B. 4 1990 Multi-structures: asymptotic analysis and singular perturbation problems. Zbl 1122.74039Movchan, A. B. 4 2006 Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material. Zbl 0870.35108McPhedran, R. C.; Poulton, C. G.; Nicorovici, N. A.; Movchan, A. B. 4 1996 Realizable (average stress, average strain) pairs in a plate with holes. Zbl 1048.74034Milton, G. W.; Serkov, S. K.; Movchan, A. B. 4 2003 Mesoscale approximations for solutions of the Dirichlet problem in a perforated elastic body. Zbl 1311.74021Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 4 2014 Stability of an advancing crack to small perturbation of its path. Zbl 1041.74064Obrezanova, O.; Movchan, A. B.; Willis, J. R. 4 2002 Transport properties of densely packed composites. Effect of shapes and spacings of inclusions. Zbl 1081.74003Berlyland, Leonid; Golovaty, Dmitry; Movchan, Alexander; Phillips, Jonathan 4 2004 Uniform asymptotics of Green’s kernels for mixed and Neumann problems in domains with small holes and inclusions. Zbl 1171.35027Maz’ya, Vladimir; Movchan, Alexander 4 2009 Analytic theory of defects in periodically structured elastic plates. Zbl 1364.74059Poulton, C. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, Ross C. 4 2012 The influence of viscoelasticity on crack front waves. Zbl 1044.74040Willis, J. R.; Movchan, A. B. 4 2001 Interfacial effects in electromagnetic coupling within piezoelectric phononic crystals. Zbl 1270.74077Sabina, F. J.; Movchan, A. B. 3 2009 Stress-strain state near the tip of a perfectly rigid three-dimensional spike introduced into an elastic body. Zbl 0729.73016Movchan, A. B.; Nazarov, S. A. 3 1989 Slow decay of end effects in layered structures with an imperfect interface. Zbl 1018.74009Avila-Pozos, Orlando; Movchan, Alexander B. 3 2003 All-angle-negative-refraction and ultra-refraction for liquid surface waves in 2D phononic crystals. Zbl 1407.78022Farhat, Mohamed; Guenneau, Sebastien; Enoch, Stefan; Movchan, Alexander 3 2010 The influence of small surface irregularities on the stress state of a body and the energy balance for a growing crack. Zbl 0787.73058Movchan, A. B.; Nazarov, S. A. 3 1991 Asymptotic analysis of Bloch-Floquet waves in a thin bi-material strip with a periodic array of finite-length cracks. Zbl 1191.74028Mishuris, G. S.; Movchan, A. B.; Bercial, J. P. 3 2007 Waves and damage in structured solids with multi-scale resonators. Zbl 1219.74021Jones, I. S.; Movchan, A. B.; Gei, M. 3 2011 Shear polarisation of elastic waves by a structured interface. Zbl 1234.74028Brun, M.; Movchan, A. B.; Movchan, N. V. 3 2010 Asymptotic modelling of weakly twisted electrostatic problems. Zbl 1163.78301Nicolet, André; Movchan, Alexander B.; Guenneau, Sébastien; Zolla, Frédéric 3 2006 Acoustic stop bands in almost-periodic and weakly randomized stratified media: perturbation analysis. Zbl 1257.74090Guenneau, S.; Movchan, A. B.; Movchan, N. V.; Trebicki, J. 3 2008 Mathematical modelling of waves in multi-scale structured media. Zbl 1397.74002Movchan, Alexander B.; Movchan, Natasha V.; Jones, Ian S.; Colquitt, Daniel J. 3 2018 Asymptotic and numerical study of a surface breaking crack subject to a transient thermal loading. Zbl 1200.74124Movchan, A. B.; Jones, I. S. 3 2006 Waves in elastic bodies with discrete and continuous dynamic microstructure. Zbl 1462.74084Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 3 2020 One-way interfacial waves in a flexural plate with chiral double resonators. Zbl 1462.74089Carta, G.; Colquitt, D. J.; Movchan, A. B.; Movchan, N. V.; Jones, I. S. 3 2020 Flexural vibration systems with gyroscopic spinners. Zbl 1462.70002Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 2 2019 Wave polarization and dynamic degeneracy in a chiral elastic lattice. Zbl 1472.70039Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 1 2019 Nested Bloch waves in elastic structures with configurational forces. Zbl 1462.74083Dal Corso, F.; Tallarico, D.; Movchan, N. V.; Movchan, A. B.; Bigoni, D. 1 2019 Elastic chiral waveguides with gyro-hinges. Zbl 1451.74129Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 15 2018 Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 13 2018 Mathematical modelling of waves in multi-scale structured media. Zbl 1397.74002Movchan, Alexander B.; Movchan, Natasha V.; Jones, Ian S.; Colquitt, Daniel J. 3 2018 Localization in semi-infinite herringbone waveguides. Zbl 1402.74050Haslinger, S. G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 3 2018 Meso-scale approximations of fields around clusters of defects. Zbl 1403.35080Maz’ya, Vladimir G.; Movchan, A. B. 2 2018 Waves and fluid-solid interaction in stented blood vessels. Zbl 1402.76166Frecentese, S.; Argani, L. P.; Movchan, A. B.; Movchan, N. V.; Carta, G.; Wall, M. L. 1 2018 Vibrations and elastic waves in chiral multi-structures. Zbl 1479.74054Nieves, M. J.; Carta, G.; Jones, I. S.; Movchan, A. B.; Movchan, N. V. 1 2018 Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J. 14 2017 Controlling flexural waves in semi-infinite platonic crystals with resonator-type scatterers. Zbl 1458.74078Haslinger, S. G.; Movchan, N. V.; Movchan, A. B.; Jones, I. S.; Craster, R. V. 8 2017 Propagation and filtering of elastic and electromagnetic waves in piezoelectric composite structures. Zbl 1368.74023Tallarico, Domenico; Movchan, Natalia; Movchan, Alexander; Camposaragna, Michele 2 2017 Wave reflection and transmission in multiply stented blood vessels. Zbl 1402.76167Papathanasiou, T. K.; Movchan, A. B.; Bigoni, D. 2 2017 Blockage and guiding of flexural waves in a semi-infinite double grating. Zbl 1368.35260Jones, Ian S.; Movchan, Natalia V.; Movchan, Alexander B. 1 2017 Dynamic interfacial trapping of flexural waves in structured plates. Zbl 1371.74140Haslinger, S. G.; Craster, R. V.; Movchan, A. B.; Movchan, N. V.; Jones, I. S. 7 2016 Mesoscale models and approximate solutions for solids containing clouds of voids. Zbl 1381.35176Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 6 2016 Transmission and localisation in ordered and randomly-perturbed structured flexural systems. Zbl 1423.74460Carta, Giorgio; Brun, Michele; Movchan, Alexander B.; Boiko, Tetiana 2 2016 Active cloaking of resonant coated inclusions for waves in membranes and Kirchhoff plates. Zbl 1446.74146O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V.; Henderson Moggach, C. 1 2016 Active cloaking of inclusions for flexural waves in thin elastic plates. Zbl 1331.74085O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V. 6 2015 Dynamic multi-structure in modelling a transition flexural wave. Zbl 1321.35233Movchan, Alexander B.; Brun, Michele; Slepyan, Leonid I.; Giaccu, Gian F. 1 2015 Transformation elastodynamics and cloaking for flexural waves. Zbl 1328.74055Colquitt, D. J.; Brun, M.; Gei, M.; Movchan, A. B.; Movchan, N. V.; Jones, I. S. 16 2014 Symmetry and resonant modes in platonic grating stacks. Zbl 1372.74056Haslinger, S. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 6 2014 Mesoscale approximations for solutions of the Dirichlet problem in a perforated elastic body. Zbl 1311.74021Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 4 2014 Green’s kernels and meso-scale approximations in perforated domains. Zbl 1273.35007Maz’ya, Vladimir; Movchan, Alexander; Nieves, Michael 29 2013 Localization for a line defect in an infinite square lattice. Zbl 1371.74139Colquitt, D. J.; Nieves, M. J.; Jones, I. S.; Movchan, A. B.; Movchan, N. V. 11 2013 Vortex-type elastic structured media and dynamic shielding. Zbl 1371.74154Brun, M.; Jones, I. S.; Movchan, A. B. 10 2012 Asymptotics of eigenfrequencies in the dynamic response of elongated multi-structures. Zbl 1364.74047Brun, M.; Giaccu, G. F.; Movchan, A. B.; Movchan, N. V. 8 2012 Dynamic anisotropy and localization in elastic lattice systems. Zbl 1291.74119Colquitt, D. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; McPhedran, R. C. 8 2012 Uniform asymptotics of Green’s kernels in perforated domains and meso-scale approximations. Zbl 1234.35264Maz’ya, V.; Movchan, A. 6 2012 Transmission, trapping and filtering of waves in periodically constrained elastic plates. Zbl 1243.74072Haslinger, Stewart G.; Movchan, Natasha V.; Movchan, Alexander B.; McPhedran, Ross C. 5 2012 Analytic theory of defects in periodically structured elastic plates. Zbl 1364.74059Poulton, C. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, Ross C. 4 2012 Dynamics of a fault steadily propagating within a structural interface. Zbl 1260.74017Mishuris, G. S.; Movchan, A. B.; Bigoni, D. 2 2012 Waves and defect modes in structured media. Zbl 1279.74018Movchan, A. B.; Brun, M.; Movchan, N. V. 2 2012 Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains. Zbl 1223.35293Maz’ya, V.; Movchan, A.; Nieves, M. 13 2011 Dispersion and localization of elastic waves in materials with microstructure. Zbl 1245.74025Colquitt, D. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 8 2011 Waves and damage in structured solids with multi-scale resonators. Zbl 1219.74021Jones, I. S.; Movchan, A. B.; Gei, M. 3 2011 Weight function in a bimaterial strip containing an interfacial crack and an imperfect interface. Application to Bloch-Floquet analysis in a thin inhomogeneous structure with cracks. Zbl 1244.74018Vellender, A.; Mishuris, Gennady S.; Movchan, Alexander. B. 1 2011 Flexural waves in structured elastic plates: Mindlin versus bi-harmonic models. Zbl 1419.74145Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 1 2011 Asymptotic study of a thermoelastic problem in a semi-infinite body containing a surface-breaking crack and small perforations. Zbl 1248.74037Nieves, M. J.; Movchan, A. B.; Jones, I. S. 1 2011 Asymptotic treatment of perforated domains without homogenization. Zbl 1185.35060Maz’ya, V.; Movchan, A. 25 2010 Dynamics of structural interfaces: filtering and focussing effects for elastic waves. Zbl 1429.74017Brun, M.; Guenneau, S.; Movchan, A. B.; Bigoni, D. 13 2010 Crack in a lattice waveguide. Zbl 1425.74444Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S. 10 2010 Perturbation of mode III interfacial cracks. Zbl 1203.74132Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 5 2010 Green’s kernels for transmission problems in bodies with small inclusions. Zbl 1223.35123Maz’ya, V.; Movchan, A.; Nieves, M. 5 2010 Convergence properties and flat bands in platonic crystal band structures using the multipole formulation. Zbl 1267.74060Poulton, C. G.; McPhedran, R. C.; Movchan, N. V.; Movchan, A. B. 4 2010 All-angle-negative-refraction and ultra-refraction for liquid surface waves in 2D phononic crystals. Zbl 1407.78022Farhat, Mohamed; Guenneau, Sebastien; Enoch, Stefan; Movchan, Alexander 3 2010 Shear polarisation of elastic waves by a structured interface. Zbl 1234.74028Brun, M.; Movchan, A. B.; Movchan, N. V. 3 2010 Acoustic band gaps in arrays of neutral inclusions. Zbl 1407.76140Guenneau, Sébastien; Movchan, Alexander; Zolla, Frédéric; Movchan, Natasha; Nicolet, André 2 2010 Bloch-Floquet waves and localisation within a heterogeneous waveguide with long cracks. Zbl 1234.74030Avila-Pozos, Orlando; Mishuris, Gennady; Movchan, Alexander 2 2010 Localised knife waves in a structured interface. Zbl 1244.74125Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 23 2009 Wave scattering by platonic grating stacks. Zbl 1186.74059Movchan, N. V.; Mcphedran, R. C.; Movchan, A. B.; Poulton, C. G. 15 2009 Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks. Zbl 1371.74239Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 14 2009 Uniform asymptotics of Green’s kernels for mixed and Neumann problems in domains with small holes and inclusions. Zbl 1171.35027Maz’ya, Vladimir; Movchan, Alexander 4 2009 Interfacial effects in electromagnetic coupling within piezoelectric phononic crystals. Zbl 1270.74077Sabina, F. J.; Movchan, A. B. 3 2009 Junction conditions for cracked elastic thin solids under bending and shear. Zbl 1238.74023Gei, M.; Movchan, A. B.; Jones, I. S. 2 2009 A thermoelastic junction problem in a thin-walled structure: asymptotic analysis. Zbl 1186.35220Zalipaev, V. V.; Jones, I. S.; Movchan, A. B. 1 2009 Asymptotic model of fields in a thin-walled structure with crack-like defects. Zbl 1156.74341Zalipaev, V. V.; Movchan, A. B.; Jones, I. S. 1 2009 Dynamics of a prestressed stiff layer on an elastic half space: filtering and band gap characteristics of periodic structural models derived from long-wave asymptotics. Zbl 1171.74361Bigoni, D.; Gei, M.; Movchan, A. B. 15 2008 Dynamics of a bridged crack in a discrete lattice. Zbl 1138.74045Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 14 2008 Dynamical extraction of a single chain from a discrete lattice. Zbl 1171.74434Mishuris, Gennady S.; Movchan, Alexander B.; Slepyan, Leonid I. 6 2008 Waves in lattices with imperfect junctions and localized defect modes. Zbl 1145.74371Zalipaev, V. V.; Movchan, A. B.; Jones, I. S. 5 2008 Uniform asymptotic approximations of Green’s functions in a long rod. Zbl 1157.35303Maz’ya, V.; Movchan, A. 5 2008 Acoustic stop bands in almost-periodic and weakly randomized stratified media: perturbation analysis. Zbl 1257.74090Guenneau, S.; Movchan, A. B.; Movchan, N. V.; Trebicki, J. 3 2008 Bloch-Floquet bending waves in perforated thin plates. Zbl 1130.74019Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 19 2007 Band gap Green’s functions and localized oscillations. Zbl 1131.74026Movchan, Alexander B.; Slepyan, Leonid I. 16 2007 Waves and fracture in an inhomogeneous lattice structure. Zbl 1191.74005Mishuris, G. S.; Movchan, A. B.; Slepyan, L. I. 15 2007 Uniform asymptotic formulae for Green’s tensors in elastic singulary perturbed domains. Zbl 1141.35011Maz’ya, V. G.; Movchan, A. B.; Nieves, M. J. 12 2007 Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack. Zbl 1176.74161Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 12 2007 Bloch-Floquet waves and controlled stop bands in periodic thermo-elastic structures. Zbl 1191.74021Jones, I. S.; Movchan, A. B. 6 2007 Uniform asymptotic formulae for Green’s functions in singularly perturbed domains. Zbl 1134.35031Maz’ya, V.; Movchan, A. 5 2007 Two-parameter asymptotic approximations in the analysis of a thin solid fixed on a small part of its boundary. Zbl 1169.74010Zalipaev, V. V.; Movchan, A. B.; Jones, I. S. 5 2007 Asymptotic analysis of Bloch-Floquet waves in a thin bi-material strip with a periodic array of finite-length cracks. Zbl 1191.74028Mishuris, G. S.; Movchan, A. B.; Bercial, J. P. 3 2007 Asymptotic estimates for localized electromagnetic modes in doubly periodic structures with defects. Zbl 1134.78007Movchan, A. B.; Movchan, N. V.; Guenneau, S.; McPhedran, R. C. 2 2007 Uniform asymptotic formulae for Green’s kernels in regularly and singularly perturbed domains. Zbl 1102.35012Maz’ya, Vladimir; Movchan, Alexander 9 2006 Steady-state motion of a mode-III crack on imperfect interfaces. Zbl 1111.74037Mishuris, Gennady S.; Movchan, Natasha V.; Movchan, Alexander B. 5 2006 Multi-structures: asymptotic analysis and singular perturbation problems. Zbl 1122.74039Movchan, A. B. 4 2006 Asymptotic modelling of weakly twisted electrostatic problems. Zbl 1163.78301Nicolet, André; Movchan, Alexander B.; Guenneau, Sébastien; Zolla, Frédéric 3 2006 Asymptotic and numerical study of a surface breaking crack subject to a transient thermal loading. Zbl 1200.74124Movchan, A. B.; Jones, I. S. 3 2006 Analysis of lattices with nonlinear interphases. Zbl 1202.74015Haq, S.; Movchan, A. B.; Rodin, G. J. 2 2006 High-order asymptotics and perturbation problems for 3D interfacial cracks. Zbl 1120.74742Bercial-Velez, J. P.; Antipov, Y. A.; Movchan, A. B. 8 2005 Perturbation of a dynamic crack in an infinite strip. Zbl 1112.74053Movchan, N. V.; Movchan, A. B.; Willis, J. R. 3 2005 Three-scale asymptotics for a diffusion problem coupled with the wave equation. Zbl 1080.74032Gibiansky, E.; Maz’ya, V.; Movchan, A. 1 2005 Mathematical modelling of heat transfer in a catalytic reformer. Zbl 1081.80005Selsil, A.; Movchan, N. V.; Movchan, A. B.; Kolaczkowski, S. T.; Awdry, S. 1 2005 Coupling between electromagnetic and mechanical vibrations of thin-walled structures. Zbl 1079.74029Guenneau, S.; Movchan, A. B.; Poulton, C. G.; Nicolet, A. 6 2004 Transport properties of densely packed composites. Effect of shapes and spacings of inclusions. Zbl 1081.74003Berlyland, Leonid; Golovaty, Dmitry; Movchan, Alexander; Phillips, Jonathan 4 2004 Analysis of elastic band structures for oblique incidence. Zbl 1063.74059Guenneau, S.; Movchan, A. B. 2 2004 Comparisons of finite element and Rayleigh methods for the study of conical Bloch waves in arrays of metallic cylinders. Zbl 1064.78018Guenneau, S.; Nicolet, A.; Geuzaine, C.; Zolla, F.; Movchan, A. B. 1 2004 Applied partial differential equations. 2nd revised ed. Zbl 1059.35001Ockendon, John; Howison, Sam; Lacey, Andrew; Movchan, Alexander 27 2003 Vibrations of lattice structures and phononic band gaps. Zbl 1044.74020Martinsson, P. G.; Movchan, A. B. 26 2003 Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres. Zbl 1092.78503Guenneau, S.; Poulton, C. G.; Movchan, A. B. 8 2003 Band gaps and elastic waves in disordered stacks: normal incidence. Zbl 1116.74370Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 5 2003 Realizable (average stress, average strain) pairs in a plate with holes. Zbl 1048.74034Milton, G. W.; Serkov, S. K.; Movchan, A. B. 4 2003 Slow decay of end effects in layered structures with an imperfect interface. Zbl 1018.74009Avila-Pozos, Orlando; Movchan, Alexander B. 3 2003 Estimates for the low eigenfrequencies of a multi-structure including an elastic shell. Zbl 1057.74014Aslanyan, A. G.; Movchan, A. B.; Selsil, Ö. 1 2003 Statics and dynamics of structural interfaces in elasticity. Zbl 1042.74034Bigoni, D.; Movchan, A. B. 22 2002 Asymptotic models of fields in dilute and densely packed composites. Zbl 1008.74002Movchan, A. B.; Movchan, N. V.; Poulton, C. G. 20 2002 Elastic waves and homogenization in oblique periodic structures. Zbl 1056.74031Zalipaev, V. V.; Movchan, A. B.; Poulton, C. G.; McPhedran, R. C. 14 2002 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 770 Authors 71 Movchan, Alexander B. 27 Mishuris, Gennady S. 25 Nazarov, Sergeĭ Aleksandrovich 20 Jones, Ian S. 15 Musolino, Paolo 14 Neves, Mario jun. 13 McPhedran, Ross C. 13 Milton, Graeme Walter 12 Craster, Richard V. 11 Carta, Giorgio 11 Willis, John Raymond 10 Bigoni, Davide 10 Guenneau, Sébastien 10 Maz’ya, Vladimir Gilelevich 10 Parnell, William J. 9 Brun, Michele 9 Colquitt, Daniel J. 9 Sini, Mourad 9 Slepyan, Leonid I. 8 Ammari, Habib M. 8 Andrianov, Igor Vasil’evich 8 Eremeyev, Victor A. 8 Kang, Hyeonbae 8 Kaplunov, Julius D. 8 Lazarus, Véronique 7 Dalla Riva, Matteo 7 Danishevskiĭ, Vladislav Valentinovich 7 Lanza de Cristoforis, Massimo 7 Leblond, Jean-Baptiste 7 Nicolet, André 7 Panasenko, Grigory P. 7 Piccolroaz, Andrea 7 Zolla, Frédéric 6 Abrahams, I. David 6 Gei, Massimiliano 6 Guenneau, Sebastien R. L. 6 Mityushev, Vladimir V. 6 Monneau, Régis 6 Poulton, Chris G. 6 Rogosin, Sergei V. 5 Argatov, Ivan I. 5 Challa, Durga Prasad 5 Gorbushin, Nikolai 5 Huang, Jianguo 5 Khludnev, Aleksandr Mikhaĭlovich 5 Kushch, Volodymyr I. 5 Kutsenko, Anton A. 5 Rice, James Robert 4 Ayzenberg-Stepanenko, Mark V. 4 Chapman, Stephen Jonathan 4 Chesnel, Lucas 4 Gaudiello, Antonio 4 Helsing, Johan 4 Kisil, Anastasia V. 4 Morini, Lorenzo 4 Novotny, Antonio André 4 Obrezanova, Olga A. 4 Piatnitski, Andrey L. 4 Ruzzene, Massimo 4 Sharma, Basant Lal 4 Shi, Zhongci 4 Tortorelli, Daniel A. 4 Wang, Yize 4 Wang, Yuesheng 4 Wrobel, Michal 4 Zhao, Zhiwen 3 Adams, Samuel D. M. 3 Agha, Y. Ould 3 Antonakakis, T. 3 Artioli, Edoardo 3 Assier, Raphaël C. 3 Babuška, Ivo 3 Benveniste, Yakov 3 Bertoldi, Katia 3 Bonnaillie-Noël, Virginie 3 Capdeboscq, Yves 3 Chechkin, Gregory Aleksandrovich 3 Cherednichenko, Kirill D. 3 Chung, Tsz Shun Eric 3 Drugan, W. J. 3 Feijóo, Raúl Antonino 3 Geubelle, Philippe H. 3 Giusti, Sebastián M. 3 Gonella, Stefano 3 Hao, Xia 3 Haslinger, Stewart G. 3 Kishimoto, Kikuo 3 Korotyaev, Evgeny L. 3 Li, Fengming 3 Lim, Mikyoung 3 Lustri, Christopher J. 3 Makwana, Mehul P. 3 Martin, Paul Andrew 3 McIver, Philip 3 Meylan, Michael H. 3 Mogilevskaya, Sofia G. 3 Morrissey, John W. 3 Movchan, Natalia V. 3 Movchan, Natasha V. 3 Osharovich, Gregory G. ...and 670 more Authors all top 5 Cited in 138 Serials 69 Journal of the Mechanics and Physics of Solids 26 Wave Motion 24 International Journal of Engineering Science 22 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 17 Computer Methods in Applied Mechanics and Engineering 17 Waves in Random and Complex Media 14 Mathematical Methods in the Applied Sciences 14 Journal of Elasticity 14 European Journal of Mechanics. A. Solids 12 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 11 SIAM Journal on Applied Mathematics 11 Mathematics and Mechanics of Solids 10 Acta Mechanica 10 Multiscale Modeling & Simulation 9 International Journal of Solids and Structures 9 Journal of Engineering Mathematics 9 Continuum Mechanics and Thermodynamics 9 Journal of Mathematical Sciences (New York) 8 Journal of Fluid Mechanics 8 Journal of Mathematical Analysis and Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal de Mathématiques Pures et Appliquées. 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