Edit Profile (opens in new tab) Kaplunov, Julius D. Co-Author Distance Author ID: kaplunov.julius-d Published as: Kaplunov, J.; Kaplunov, J. D.; Kaplunov, Julius; Kaplunov, Yu. D.; Kaplunov, Julius D. more...less Homepage: https://www.keele.ac.uk/scm/staff/juliuskaplunov/ External Links: MGP Documents Indexed: 102 Publications since 1987, including 1 Book and 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 81 Co-Authors with 94 Joint Publications 1,351 Co-Co-Authors all top 5 Co-Authors 7 single-authored 16 Prikazchikov, Danila A. 15 Nol’de, E. V. 13 Rogerson, Graham A. 12 Erbaş, Bariş 7 Pichugin, Aleksey V. 6 Craster, Richard V. 6 Kossovich, Leonid Yur’evich 6 Prikazchikova, Ludmila 3 Alzaidi, Ahmed S. M. 3 Andrianov, Igor Vasil’evich 3 Babenkova, E. V. 3 Ege, Nihal 3 Fu, Yibin 3 Nolde, Evgeniya 3 Sahin, Onur 3 Sultanova, L. 3 Wootton, Peter T. 2 Chebakov, R. 2 Colquitt, Daniel J. 2 Elishakoff, Isaac 2 Gendelman, Oleg V. 2 Guenneau, Sebastien R. L. 2 Lawrie, Jane B. 2 Markushevich, Dimitri Genrikhovich 2 Mikhlin, Yuri Vladimirovich 2 Nikonov, Anatolij 2 Palsü, Melike 2 Pilipchuk, Valery N. 2 Shuvalov, Alexander L. 2 Veksler, Naum D. 2 Wilde, Maria V. 2 Zakharov, Alexis 2 Zernov, V. 1 Aghalovyan, Lenser A. 1 Alkinidri, Mohammed 1 Astashev, Vladimir K. 1 Awrejcewicz, Jan 1 Aydın, Yağmur Ece 1 Babitsky, Vladimir I. 1 Belov, A. V. 1 Beresin, V. L. 1 Dai, Huihui 1 Danishevskiĭ, Vladislav Valentinovich 1 Emri, I. J. 1 Every, Arthur G. 1 Ghulghazaryan, L. G. 1 Gol’denvejzer, A. L. 1 Its, Alexander Rudolfovich 1 Its, Elizabeth N. 1 Joseph, L. M. 1 Kaplunov, E. 1 Khajiyeva, L. A. 1 Kiliç, Gökçe 1 Kirillova, Irina Vasil’evna 1 Kossovich, Elena . L. 1 Kovalëv, Vladimir Aleksandrovich 1 Kovaleva, Margarita Alekseevna 1 Kudaibergenov, A. K. 1 Lapatsin, S. N. 1 Manevich, Leonid Isaakovich 1 Martyniuk, M. 1 Moukhomodiarov, Rinat R. 1 Mukhomodyarov, Rinat R. 1 Muravskii, Grigori B. 1 Noori, Noorullah 1 Ogden, Raymond William 1 Panasenko, Grigory P. 1 Perel, Maria V. 1 Poncelet, Olivier 1 Postnova, Julia 1 Rawlins, Anthony D. 1 Sergaliyev, A. S. 1 Shorr, B. F. 1 Smirnov, Valeri V. 1 Sorokina, O. V. 1 Starosvetsky, Yuli 1 Steigmann, David J. 1 Tovstik, Pëtr Evgen’evich 1 Ustinov, Yuriĭ Anatol’evich 1 Yusufoğlu (Agadjanov), Elçin 1 Zupančič, Barbara all top 5 Serials 12 Mathematics and Mechanics of Solids 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 IMA Journal of Applied Mathematics 6 Journal of Applied Mathematics and Mechanics 6 Quarterly Journal of Mechanics and Applied Mathematics 6 Wave Motion 3 Journal of Sound and Vibration 3 Soviet Physics. Doklady 2 Acustica 2 Acta Mechanica 2 International Journal of Engineering Science 2 International Journal of Solids and Structures 2 Journal of the Mechanics and Physics of Solids 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Prikladnaya Matematika i Mekhanika 1 Mechanics Research Communications 1 Journal of Elasticity 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Journal of Vibration and Control 1 European Journal of Mechanics. A. Solids 1 Flow, Turbulence and Combustion 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 95 Mechanics of deformable solids (74-XX) 14 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 4 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 745 times in 386 Documents Cited by ▼ Year ▼ High-frequency homogenization for periodic media. Zbl 1196.35038 Craster, R. V.; Kaplunov, J.; Pichugin, A. V. 100 2010 Dynamics of thin walled elastic bodies. Zbl 0927.74001 Kaplunov, J. D.; Kossovich, L. Yu.; Nolde, E. V. 73 1998 On Timoshenko-Reissner type theories of plates and shells. Zbl 0767.73036 Gol’denvejzer, A. L.; Kaplunov, J. D.; Nolde, E. V. 34 1993 Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Zbl 1456.74070 Craster, R. V.; Joseph, L. M.; Kaplunov, J. 31 2014 High-frequency asymptotics, homogenisation and localisation for lattices. Zbl 1225.82007 Craster, R. V.; Kaplunov, J.; Postnova, J. 24 2010 High frequency homogenization for structural mechanics. Zbl 1270.74166 Nolde, E.; Craster, R. V.; Kaplunov, J. 21 2011 A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126 Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A. 20 2010 Eigenvalue of a semi-infinite elastic strip. Zbl 1149.74340 Zernov, V.; Pichugin, A. V.; Kaplunov, J. 19 2006 Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002 Lawrie, Jane B.; Kaplunov, Julius 17 2012 A plane contact problem for an elastic orthotropic strip. Zbl 1254.74088 Erbaş, B.; Yusufoğlu, E.; Kaplunov, J. 16 2011 Localized vibration in elastic structures with slowly varying thickness. Zbl 1088.74027 Kaplunov, J. D.; Rogerson, G. A.; Tovstik, P. E. 16 2005 Explicit models for elastic and piezoelastic surface waves. Zbl 1112.74033 Kaplunov, J.; Zakharov, A.; Prikazchikov, D. 16 2006 Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025 Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 15 2016 Bloch dispersion and high frequency homogenization for separable doubly-periodic structures. Zbl 1360.78015 Craster, R. V.; Kaplunov, J.; Nolde, E.; Guenneau, S. 15 2012 Long-wave vibrations of a nearly incompressible isotropic plate with fixed faces. Zbl 1036.74024 Kaplunov, J. D.; Nolde, E. V. 14 2002 Three-dimensional edge waves in plates. Zbl 1139.74029 Zernov, V.; Kaplunov, J. 14 2008 A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092 Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 14 2017 Rayleigh-type waves on a coated elastic half-space with a clamped surface. Zbl 1462.74093 Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 14 2019 Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143 Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius 14 2020 Plane vibrations and radiation of an elastic layer lying on a liquid half-space. Zbl 0776.73050 Kaplunov, J. D.; Markushevich, D. G. 13 1993 Long-wave vibrations of a thin-walled body with fixed faces. Zbl 0829.73028 Kaplunov, J. D. 12 1995 A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures. Zbl 1049.74583 Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 12 2000 Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies. Zbl 0984.74030 Kaplunov, J. D.; Kossovich, L. Yu; Rogerson, G. A. 11 2000 The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Zbl 1373.74052 Kaplunov, J.; Nobili, A. 10 2017 Edge bending wave on a thin elastic plate resting on a Winkler foundation. Zbl 1371.74194 Kaplunov, J.; Prikazchikov, D. A.; Rogerson, G. A. 8 2016 Low-frequency decay conditions for a semi-infinite elastic strip. Zbl 1070.74016 Babenkova, E.; Kaplunov, J. 8 2004 An asymptotic analysis of initial-value problems for thin elastic plates. Zbl 1149.74357 Kaplunov, Julius; Nolde, Evgeniya; Rogerson, Graham A. 8 2006 An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Zbl 1472.74165 Wootton, P. T.; Kaplunov, J.; Colquitt, D. J. 8 2019 An asymptotically consistent model for long-wave high-frequency motion in a pre-stressed elastic plate. Zbl 1062.74018 Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 7 2002 Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150 Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila 7 2020 On integral and differential formulations in nonlocal elasticity. Zbl 1523.74006 Kaplunov, J.; Prikazchikov, D. A.; Prikazchikova, L. 7 2023 The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space. Zbl 1371.74148 Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A.; Şahin, Onur 6 2017 A revisit to the moving load problem using an asymptotic model for the Rayleigh wave. Zbl 1231.74205 Kaplunov, J.; Nolde, E.; Prikazchikov, D. A. 6 2010 A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063 Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila 6 2020 On a 3D moving load problem for an elastic half space. Zbl 1454.74012 Kaplunov, J.; Prikazchikov, D. A.; Erbaş, B.; Şahin, O. 6 2013 Justification and refinement of Winkler-Fuss hypothesis. Zbl 1393.74059 Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 6 2018 Edge and interfacial vibrations in elastic shells of revolution. Zbl 0958.74024 Kaplunov, Julius D.; Wilde, Maria V. 5 2000 An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides. Zbl 1189.74067 Perel, Maria V.; Kaplunov, Julius D.; Rogerson, Graham A. 5 2005 Multi-parametric analysis of strongly inhomogeneous periodic waveguideswith internal cutoff frequencies. Zbl 1368.74050 Kaplunov, J.; Nobili, A. 5 2017 A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates. Zbl 1236.74174 Kaplunov, J. D.; Nolde, E. V.; Shorr, B. F. 5 2005 Composite wave models for elastic plates. Zbl 1402.74046 Erbaş, Barış; Kaplunov, Julius; Nolde, Evgeniya; Palsü, Melike 5 2018 Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate. Zbl 07273368 Alzaidi, Ahmed S. M.; Kaplunov, Julius; Prikazchikova, Ludmila 5 2019 The Rayleigh wave field in mixed problems for a half-plane. Zbl 1280.35147 Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A. 4 2013 On rational boundary conditions for higher-order long-wave models. Zbl 1208.74064 Kaplunov, J. D.; Pichugin, A. V. 4 2009 Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124 Its, Alexander; Its, Elizabeth; Kaplunov, Julius 4 2011 Approximation of the flexural velocity branch in plates. Zbl 1120.74603 Poncelet, O.; Shuvalov, A. L.; Kaplunov, J. 4 2006 A refined asymptotic model of fluid-structure interaction in scattering by elastic shells. Zbl 0949.74016 Belov, A. V.; Kaplunov, J. D.; Nolde, E. V. 3 1999 Asymptotic integration of the dynamic equations of the theory of elasticity for the case of thin shells. Zbl 0788.73045 Kaplunov, Yu. D.; Kirillova, I. V.; Kossovich, L. Yu. 3 1993 On the quasi-front in two-dimensional shell theories. Zbl 0741.73013 Kaplunov, Julius D. 3 1991 Asymptotic description of the peripheral waves in scattering of a plane acoustic wave by a spherical shell. Zbl 0850.73164 Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 3 1992 Elastic-plastic torsion of a Cosserat-type rod. Zbl 0856.73028 Kaplunov, J. D.; Lippmann, H. 3 1995 A quasifront in the problem of the action of an instantaneous point impulse at the edge of a conical shell. Zbl 0884.73034 Kaplunov, Yu. D.; Nol’de, E. V. 3 1995 An asymptotic higher-order theory for rectangular beams. Zbl 1402.74065 Nolde, E.; Pichugin, A. V.; Kaplunov, J. 3 2018 Elastic contact of a stiff thin layer and a half-space. Zbl 1407.74032 Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 3 2019 A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate. Zbl 1120.74600 Kaplunov, J. D.; Pichugin, A. V. 3 2005 Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719 Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A. 3 2022 Composite dynamic models for periodically heterogeneous media. Zbl 07273333 Colquitt, Daniel J.; Danishevskyy, Vladyslav V.; Kaplunov, Julius 3 2019 Slowly varying high-frequency stress-strain states in immersed shells. Zbl 0787.73052 Kaplunov, Yu. D. 2 1991 Asymptotic formulae for the modal resonance of peripheral waves in the scattering of an obliquely incident plane acoustic wave by a cylindrical shell. Zbl 0804.76076 Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 2 1994 Synthesis of the dispersion curves for a cylindrical shell on the basis of approximate theories. Zbl 1046.74508 Beresin, V. L.; Kossovich, L. Yu.; Kaplunov, J. D. 2 1995 Lamb problem for a generalized plane stress state. Zbl 0770.73039 Kaplunov, Yu. D.; Nol’de, E. V. 2 1992 Short wave motion in a pre-stressed incompressible elastic plate. Zbl 1136.74329 Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 2 2002 Analysis of localized edge vibrations of cylindrical shells using the Stroh formalism. Zbl 1291.74089 Fu, Y. B.; Kaplunov, J. 2 2012 An explicit asymptotic model for the Bleustein-Gulyaev wave. Zbl 1223.35295 Kaplunov, Julius; Kossovich, Leonid; Zakharov, Alexis 2 2004 Radiation conditions for a semi-infinite elastic strip. Zbl 1145.74356 Babenkova, E.; Kaplunov, J. 2 2005 On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate. Zbl 1122.74034 Kaplunov, J. D.; Pichugin, A. V.; Rogerson, G. A. 2 2006 Action of a uniformly variable moving force on a Timoshenko beam on an elastic foundation. Transitions through the critical velocities. Zbl 0688.73025 Kaplunov, Yu. D.; Muravskij, G. B. 2 1987 The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133 Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I. 2 2018 Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates. Zbl 07575005 Kaplunov, Julius; Erbaş, Barış; Ege, Nihal 2 2022 Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729 Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac 2 2022 Analysis of transient waves in thin structures utilizing matched asymptotic expansions. Zbl 1002.74051 Emri, I.; Kaplunov, J. D.; Nolde, E. V. 1 2001 Universal dynamic theory of shells. Zbl 1125.74352 Kaplunov, J. 1 2004 Asymptotic approximations of the 3D dynamical equations of elasticity for the case of a thin body. Zbl 0925.73522 Kaplunov, J. D. 1 1996 Uniform asymptotic behaviour of integrals of Bessel functions with a large parameter in the argument. Zbl 1195.33014 Kaplunov, J.; Voloshin, V.; Rawlins, A. D. 1 2010 Matching of asymptotic models in scattering of a plane acoustic wave by an elastic cylindrical shell. Zbl 1236.76058 Kaplunov, J. D.; Kovalev, V. A.; Wilde, M. V. 1 2003 On the dynamics of drilling. Zbl 1476.74106 Kaplunov, J.; Khajiyeva, L. A.; Martyniuk, M.; Sergaliyev, A. S. 1 2020 Saint-Venant’s principle in the case of low-frequency oscillations of a strip. Zbl 1100.74567 Babenkova, E. V.; Kaplunov, Yu. D.; Ustinov, Yu. A. 1 2005 Low-frequency cutoffs for the dispersion spectrum of elastic waves in a thin-walled anisotropic cylinder. Zbl 1160.74026 Shuvalov, A. L.; Kaplunov, J.; Nolde, E. 1 2009 Study of an elastic layer in a liquid half-space (two-dimensional problem). Zbl 0726.76088 Kaplunov, Yu. D.; Markushevich, D. G. 1 1990 Equations for high-frequency, long-wavelength vibrations of an elastic layer on an acoustic half-space. Zbl 0729.73096 Kaplunov, Yu. D. 1 1989 Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Zbl 1486.74059 Ege, Nihal; Erbaş, Barış; Kaplunov, Julius 1 2021 Two-mode long-wave low-frequency approximations for anti-plane shear deformation of a high-contrast asymmetric laminate. Zbl 1487.74058 Alkinidri, Mohammed; Kaplunov, Julius; Prikazchikova, Ludmila 1 2021 On integral and differential formulations in nonlocal elasticity. Zbl 1523.74006 Kaplunov, J.; Prikazchikov, D. A.; Prikazchikova, L. 7 2023 Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719 Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A. 3 2022 Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates. Zbl 07575005 Kaplunov, Julius; Erbaş, Barış; Ege, Nihal 2 2022 Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729 Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac 2 2022 Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Zbl 1486.74059 Ege, Nihal; Erbaş, Barış; Kaplunov, Julius 1 2021 Two-mode long-wave low-frequency approximations for anti-plane shear deformation of a high-contrast asymmetric laminate. Zbl 1487.74058 Alkinidri, Mohammed; Kaplunov, Julius; Prikazchikova, Ludmila 1 2021 Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143 Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius 14 2020 Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150 Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila 7 2020 A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063 Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila 6 2020 On the dynamics of drilling. Zbl 1476.74106 Kaplunov, J.; Khajiyeva, L. A.; Martyniuk, M.; Sergaliyev, A. S. 1 2020 Rayleigh-type waves on a coated elastic half-space with a clamped surface. Zbl 1462.74093 Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 14 2019 An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Zbl 1472.74165 Wootton, P. T.; Kaplunov, J.; Colquitt, D. J. 8 2019 Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate. Zbl 07273368 Alzaidi, Ahmed S. M.; Kaplunov, Julius; Prikazchikova, Ludmila 5 2019 Elastic contact of a stiff thin layer and a half-space. Zbl 1407.74032 Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 3 2019 Composite dynamic models for periodically heterogeneous media. Zbl 07273333 Colquitt, Daniel J.; Danishevskyy, Vladyslav V.; Kaplunov, Julius 3 2019 Justification and refinement of Winkler-Fuss hypothesis. Zbl 1393.74059 Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 6 2018 Composite wave models for elastic plates. Zbl 1402.74046 Erbaş, Barış; Kaplunov, Julius; Nolde, Evgeniya; Palsü, Melike 5 2018 An asymptotic higher-order theory for rectangular beams. Zbl 1402.74065 Nolde, E.; Pichugin, A. V.; Kaplunov, J. 3 2018 The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133 Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I. 2 2018 A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092 Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 14 2017 The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Zbl 1373.74052 Kaplunov, J.; Nobili, A. 10 2017 The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space. Zbl 1371.74148 Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A.; Şahin, Onur 6 2017 Multi-parametric analysis of strongly inhomogeneous periodic waveguideswith internal cutoff frequencies. Zbl 1368.74050 Kaplunov, J.; Nobili, A. 5 2017 Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025 Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 15 2016 Edge bending wave on a thin elastic plate resting on a Winkler foundation. Zbl 1371.74194 Kaplunov, J.; Prikazchikov, D. A.; Rogerson, G. A. 8 2016 Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Zbl 1456.74070 Craster, R. V.; Joseph, L. M.; Kaplunov, J. 31 2014 On a 3D moving load problem for an elastic half space. Zbl 1454.74012 Kaplunov, J.; Prikazchikov, D. A.; Erbaş, B.; Şahin, O. 6 2013 The Rayleigh wave field in mixed problems for a half-plane. Zbl 1280.35147 Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A. 4 2013 Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002 Lawrie, Jane B.; Kaplunov, Julius 17 2012 Bloch dispersion and high frequency homogenization for separable doubly-periodic structures. Zbl 1360.78015 Craster, R. V.; Kaplunov, J.; Nolde, E.; Guenneau, S. 15 2012 Analysis of localized edge vibrations of cylindrical shells using the Stroh formalism. Zbl 1291.74089 Fu, Y. B.; Kaplunov, J. 2 2012 High frequency homogenization for structural mechanics. Zbl 1270.74166 Nolde, E.; Craster, R. V.; Kaplunov, J. 21 2011 A plane contact problem for an elastic orthotropic strip. Zbl 1254.74088 Erbaş, B.; Yusufoğlu, E.; Kaplunov, J. 16 2011 Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124 Its, Alexander; Its, Elizabeth; Kaplunov, Julius 4 2011 High-frequency homogenization for periodic media. Zbl 1196.35038 Craster, R. V.; Kaplunov, J.; Pichugin, A. V. 100 2010 High-frequency asymptotics, homogenisation and localisation for lattices. Zbl 1225.82007 Craster, R. V.; Kaplunov, J.; Postnova, J. 24 2010 A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126 Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A. 20 2010 A revisit to the moving load problem using an asymptotic model for the Rayleigh wave. Zbl 1231.74205 Kaplunov, J.; Nolde, E.; Prikazchikov, D. A. 6 2010 Uniform asymptotic behaviour of integrals of Bessel functions with a large parameter in the argument. Zbl 1195.33014 Kaplunov, J.; Voloshin, V.; Rawlins, A. D. 1 2010 On rational boundary conditions for higher-order long-wave models. Zbl 1208.74064 Kaplunov, J. D.; Pichugin, A. V. 4 2009 Low-frequency cutoffs for the dispersion spectrum of elastic waves in a thin-walled anisotropic cylinder. Zbl 1160.74026 Shuvalov, A. L.; Kaplunov, J.; Nolde, E. 1 2009 Three-dimensional edge waves in plates. Zbl 1139.74029 Zernov, V.; Kaplunov, J. 14 2008 Eigenvalue of a semi-infinite elastic strip. Zbl 1149.74340 Zernov, V.; Pichugin, A. V.; Kaplunov, J. 19 2006 Explicit models for elastic and piezoelastic surface waves. Zbl 1112.74033 Kaplunov, J.; Zakharov, A.; Prikazchikov, D. 16 2006 An asymptotic analysis of initial-value problems for thin elastic plates. Zbl 1149.74357 Kaplunov, Julius; Nolde, Evgeniya; Rogerson, Graham A. 8 2006 Approximation of the flexural velocity branch in plates. Zbl 1120.74603 Poncelet, O.; Shuvalov, A. L.; Kaplunov, J. 4 2006 On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate. Zbl 1122.74034 Kaplunov, J. D.; Pichugin, A. V.; Rogerson, G. A. 2 2006 Localized vibration in elastic structures with slowly varying thickness. Zbl 1088.74027 Kaplunov, J. D.; Rogerson, G. A.; Tovstik, P. E. 16 2005 An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides. Zbl 1189.74067 Perel, Maria V.; Kaplunov, Julius D.; Rogerson, Graham A. 5 2005 A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates. Zbl 1236.74174 Kaplunov, J. D.; Nolde, E. V.; Shorr, B. F. 5 2005 A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate. Zbl 1120.74600 Kaplunov, J. D.; Pichugin, A. V. 3 2005 Radiation conditions for a semi-infinite elastic strip. Zbl 1145.74356 Babenkova, E.; Kaplunov, J. 2 2005 Saint-Venant’s principle in the case of low-frequency oscillations of a strip. Zbl 1100.74567 Babenkova, E. V.; Kaplunov, Yu. D.; Ustinov, Yu. A. 1 2005 Low-frequency decay conditions for a semi-infinite elastic strip. Zbl 1070.74016 Babenkova, E.; Kaplunov, J. 8 2004 An explicit asymptotic model for the Bleustein-Gulyaev wave. Zbl 1223.35295 Kaplunov, Julius; Kossovich, Leonid; Zakharov, Alexis 2 2004 Universal dynamic theory of shells. Zbl 1125.74352 Kaplunov, J. 1 2004 Matching of asymptotic models in scattering of a plane acoustic wave by an elastic cylindrical shell. Zbl 1236.76058 Kaplunov, J. D.; Kovalev, V. A.; Wilde, M. V. 1 2003 Long-wave vibrations of a nearly incompressible isotropic plate with fixed faces. Zbl 1036.74024 Kaplunov, J. D.; Nolde, E. V. 14 2002 An asymptotically consistent model for long-wave high-frequency motion in a pre-stressed elastic plate. Zbl 1062.74018 Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 7 2002 Short wave motion in a pre-stressed incompressible elastic plate. Zbl 1136.74329 Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 2 2002 Analysis of transient waves in thin structures utilizing matched asymptotic expansions. Zbl 1002.74051 Emri, I.; Kaplunov, J. D.; Nolde, E. V. 1 2001 A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures. Zbl 1049.74583 Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 12 2000 Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies. Zbl 0984.74030 Kaplunov, J. D.; Kossovich, L. Yu; Rogerson, G. A. 11 2000 Edge and interfacial vibrations in elastic shells of revolution. Zbl 0958.74024 Kaplunov, Julius D.; Wilde, Maria V. 5 2000 A refined asymptotic model of fluid-structure interaction in scattering by elastic shells. Zbl 0949.74016 Belov, A. V.; Kaplunov, J. D.; Nolde, E. V. 3 1999 Dynamics of thin walled elastic bodies. Zbl 0927.74001 Kaplunov, J. D.; Kossovich, L. Yu.; Nolde, E. V. 73 1998 Asymptotic approximations of the 3D dynamical equations of elasticity for the case of a thin body. Zbl 0925.73522 Kaplunov, J. D. 1 1996 Long-wave vibrations of a thin-walled body with fixed faces. Zbl 0829.73028 Kaplunov, J. D. 12 1995 Elastic-plastic torsion of a Cosserat-type rod. Zbl 0856.73028 Kaplunov, J. D.; Lippmann, H. 3 1995 A quasifront in the problem of the action of an instantaneous point impulse at the edge of a conical shell. Zbl 0884.73034 Kaplunov, Yu. D.; Nol’de, E. V. 3 1995 Synthesis of the dispersion curves for a cylindrical shell on the basis of approximate theories. Zbl 1046.74508 Beresin, V. L.; Kossovich, L. Yu.; Kaplunov, J. D. 2 1995 Asymptotic formulae for the modal resonance of peripheral waves in the scattering of an obliquely incident plane acoustic wave by a cylindrical shell. Zbl 0804.76076 Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 2 1994 On Timoshenko-Reissner type theories of plates and shells. Zbl 0767.73036 Gol’denvejzer, A. L.; Kaplunov, J. D.; Nolde, E. V. 34 1993 Plane vibrations and radiation of an elastic layer lying on a liquid half-space. Zbl 0776.73050 Kaplunov, J. D.; Markushevich, D. G. 13 1993 Asymptotic integration of the dynamic equations of the theory of elasticity for the case of thin shells. Zbl 0788.73045 Kaplunov, Yu. D.; Kirillova, I. V.; Kossovich, L. Yu. 3 1993 Asymptotic description of the peripheral waves in scattering of a plane acoustic wave by a spherical shell. Zbl 0850.73164 Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 3 1992 Lamb problem for a generalized plane stress state. Zbl 0770.73039 Kaplunov, Yu. D.; Nol’de, E. V. 2 1992 On the quasi-front in two-dimensional shell theories. Zbl 0741.73013 Kaplunov, Julius D. 3 1991 Slowly varying high-frequency stress-strain states in immersed shells. Zbl 0787.73052 Kaplunov, Yu. D. 2 1991 Study of an elastic layer in a liquid half-space (two-dimensional problem). Zbl 0726.76088 Kaplunov, Yu. D.; Markushevich, D. G. 1 1990 Equations for high-frequency, long-wavelength vibrations of an elastic layer on an acoustic half-space. Zbl 0729.73096 Kaplunov, Yu. D. 1 1989 Action of a uniformly variable moving force on a Timoshenko beam on an elastic foundation. Transitions through the critical velocities. Zbl 0688.73025 Kaplunov, Yu. D.; Muravskij, G. B. 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 500 Authors 50 Kaplunov, Julius D. 24 Craster, Richard V. 21 Rogerson, Graham A. 15 Prikazchikov, Danila A. 13 Andrianov, Igor Vasil’evich 12 Erbaş, Bariş 8 Guzina, Bojan B. 8 Pichugin, Aleksey V. 7 Danishevskiĭ, Vladislav Valentinovich 7 Mikhasev, Gennadiĭ Ivanovich 6 Dai, Huihui 6 Demirkus, Dilek 6 Elishakoff, Isaac 6 Eremeyev, Victor A. 6 Guenneau, Sebastien R. L. 6 Kossovich, Leonid Yur’evich 6 Kuznetsov, Sergey V. 6 Nobili, Andrea 6 Prikazchikova, Ludmila 6 Sahin, Onur 5 Colquitt, Daniel J. 5 Nazarov, Sergeĭ Aleksandrovich 5 Nol’de, E. V. 5 Radi, Enrico 5 Shuvalov, Alexander L. 5 Vinh, Pham Chi 5 Yamada, Takayuki 4 Argatov, Ivan I. 4 Ege, Nihal 4 Geers, Marc G. D. 4 Kouznetsova, Varvara G. 4 Lawrie, Jane B. 4 Ma, Qiang 4 Madeo, Angela 4 Maling, B. 4 Manna, Santanu 4 Moukhomodiarov, Rinat R. 4 Movchan, Alexander B. 4 Neff, Patrizio 4 Noguchi, Yuki 4 Pagneux, Vincent 3 Adams, Samuel D. M. 3 Ahmetolan, Semra 3 Alzaidi, Ahmed S. M. 3 Anh, Vu Thi Ngoc 3 Antonakakis, T. 3 Bochkarev, Andreĭ Vladimirovich 3 Carta, Giorgio 3 Challamel, Noël 3 Comez, Isa 3 Cornaggia, Rémi 3 Cui, Junzhi 3 Deliktas-Ozdemir, Ekin 3 Fu, Yibin 3 Godin, Yuri A. 3 Hache, Florian 3 Izui, Kazuhiro 3 Johnson, Edward Robert 3 Jones, Ian S. 3 Kaoullas, George 3 Karp, Baruch 3 Lanzoni, Luca 3 Li, Zhihui 3 Makwana, Mehul P. 3 Marigo, Jean-Jacques 3 Maurel, Agnès 3 Mishuris, Gennady S. 3 Nawaz, Rab 3 Neves, Mario jun. 3 Nishiwaki, Shinji 3 Oudghiri-Idrissi, Othman 3 Rizzi, Gianluca 3 Schnitzer, Ory 3 Song, Zilong 3 Sridhar, Ashwin 3 Sultanova, L. 3 Tanner, Gregor K. 3 Topol, Heiko 3 Vaĭnberg, Boris Rufimovich 3 Wilde, Maria V. 3 Yusufoğlu (Agadjanov), Elçin 2 Abrahams, I. David 2 Adamou, Alexander T. I. 2 Aghalovyan, Lenser A. 2 Ammari, Habib 2 Assier, Raphaël C. 2 Awrejcewicz, Jan 2 Bacigalupo, Andrea 2 Bellis, Cédric 2 Bonnet, Marc 2 Boutin, Claude 2 Brun, Michele 2 Cakoni, Fioralba 2 Chaplain, Gregory J. 2 Chapman, C. J. 2 Chen, Xiaoyi 2 Cherednichenko, Kirill D. 2 Comi, Claudia 2 Creagh, Stephen C. 2 d’Agostino, Marco Valerio ...and 400 more Authors all top 5 Cited in 76 Serials 45 Wave Motion 42 Mathematics and Mechanics of Solids 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 International Journal of Engineering Science 19 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 18 Acta Mechanica 15 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 12 European Journal of Mechanics. A. Solids 10 Journal of the Mechanics and Physics of Solids 8 Applied Mathematical Modelling 8 SIAM Journal on Applied Mathematics 7 Journal of Applied Mathematics and Mechanics 7 Computational Mechanics 6 Journal of Engineering Mathematics 6 Journal of Elasticity 5 Computer Methods in Applied Mechanics and Engineering 5 International Journal of Solids and Structures 5 Journal of Fluid Mechanics 5 Mathematical Methods in the Applied Sciences 5 Meccanica 5 Mechanics of Solids 4 Archive of Applied Mechanics 4 Continuum Mechanics and Thermodynamics 4 Journal of Mathematical Sciences (New York) 4 Waves in Random and Complex Media 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Journal of Mathematical Physics 3 International Journal for Numerical Methods in Engineering 3 Multiscale Modeling & Simulation 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Applicable Analysis 2 Letters in Mathematical Physics 2 Prikladnaya Matematika i Mekhanika 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. 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(English Edition) 1 Journal of Theoretical and Computational Acoustics 1 Pure and Applied Analysis all top 5 Cited in 27 Fields 332 Mechanics of deformable solids (74-XX) 92 Partial differential equations (35-XX) 36 Fluid mechanics (76-XX) 16 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Geophysics (86-XX) 10 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 8 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 5 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year