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: 101 Publications since 1987, including 1 Book 2 Contributions as Editor Co-Authors: 80 Co-Authors with 93 Joint Publications 1,140 Co-Co-Authors all top 5 Co-Authors 7 single-authored 17 Prikazchikov, Danila A. 15 Nol’de, E. V. 13 Rogerson, Graham A. 12 Erbaş, Bariş 7 Pichugin, Aleksey V. 6 Kossovich, Leonid Yu. 6 Prikazchikova, Ludmila 5 Craster, Richard V. 3 Babenkova, E. V. 3 Ege, Nihal 3 Fu, Yibin 3 Sahin, Onur 3 Sultanova, L. 3 Wootton, Peter T. 2 Aghalovyan, Lenser A. 2 Alzaidi, Ahmed S. M. 2 Andrianov, Igor V. 2 Chebakov, R. 2 Colquitt, Daniel J. 2 Elishakoff, Isaac 2 Gendelman, Oleg V. 2 Ghulghazaryan, L. G. 2 Lawrie, Jane B. 2 Markushevich, Dimitri Genrikhovich 2 Mikhlin, Yuri Vladimirovich 2 Nolde, Evgeniya 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 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, Hui-Hui 1 Danishevskiĭ, Vladislav Valentinovich 1 Emri, I. J. 1 Every, Arthur G. 1 Gol’denvejzer, A. L. 1 Guenneau, Sebastien R. 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 Nikonov, Anatolij 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 all top 5 Serials 12 Mathematics and Mechanics of Solids 9 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 Journal of Mathematical Sciences (New York) 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 81 Publications have been cited 650 times in 337 Documents Cited by ▼ Year ▼ High-frequency homogenization for periodic media. Zbl 1196.35038Craster, R. V.; Kaplunov, J.; Pichugin, A. V. 84 2010 Dynamics of thin walled elastic bodies. Zbl 0927.74001Kaplunov, J. D.; Kossovich, L. Yu.; Nolde, E. V. 64 1998 On Timoshenko-Reissner type theories of plates and shells. Zbl 0767.73036Gol’denvejzer, A. L.; Kaplunov, J. D.; Nolde, E. V. 32 1993 Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Zbl 1456.74070Craster, R. V.; Joseph, L. M.; Kaplunov, J. 27 2014 High-frequency asymptotics, homogenisation and localisation for lattices. Zbl 1225.82007Craster, R. V.; Kaplunov, J.; Postnova, J. 23 2010 High frequency homogenization for structural mechanics. Zbl 1270.74166Nolde, E.; Craster, R. V.; Kaplunov, J. 20 2011 Eigenvalue of a semi-infinite elastic strip. Zbl 1149.74340Zernov, V.; Pichugin, A. V.; Kaplunov, J. 19 2006 A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A. 18 2010 Localized vibration in elastic structures with slowly varying thickness. Zbl 1088.74027Kaplunov, J. D.; Rogerson, G. A.; Tovstik, P. E. 16 2005 Explicit models for elastic and piezoelastic surface waves. Zbl 1112.74033Kaplunov, J.; Zakharov, A.; Prikazchikov, D. 15 2006 Bloch dispersion and high frequency homogenization for separable doubly-periodic structures. Zbl 1360.78015Craster, R. V.; Kaplunov, J.; Nolde, E.; Guenneau, S. 15 2012 Long-wave vibrations of a nearly incompressible isotropic plate with fixed faces. Zbl 1036.74024Kaplunov, J. D.; Nolde, E. V. 14 2002 Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002Lawrie, Jane B.; Kaplunov, Julius 14 2012 Long-wave vibrations of a thin-walled body with fixed faces. Zbl 0829.73028Kaplunov, J. D. 13 1995 A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures. Zbl 1049.74583Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 12 2000 A plane contact problem for an elastic orthotropic strip. Zbl 1254.74088Erbaş, B.; Yusufoğlu, E.; Kaplunov, J. 12 2011 Three-dimensional edge waves in plates. Zbl 1139.74029Zernov, V.; Kaplunov, J. 12 2008 Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 12 2016 Plane vibrations and radiation of an elastic layer lying on a liquid half-space. Zbl 0776.73050Kaplunov, J. D.; Markushevich, D. G. 12 1993 Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies. Zbl 0984.74030Kaplunov, J. D.; Kossovich, L. Yu; Rogerson, G. A. 11 2000 A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 10 2017 Rayleigh-type waves on a coated elastic half-space with a clamped surface. Zbl 1462.74093Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 9 2019 Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius 9 2020 Low-frequency decay conditions for a semi-infinite elastic strip. Zbl 1070.74016Babenkova, E.; Kaplunov, J. 8 2004 An asymptotic analysis of initial-value problems for thin elastic plates. Zbl 1149.74357Kaplunov, Julius; Nolde, Evgeniya; Rogerson, Graham A. 8 2006 The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Zbl 1373.74052Kaplunov, J.; Nobili, A. 8 2017 An asymptotically consistent model for long-wave high-frequency motion in a pre-stressed elastic plate. Zbl 1062.74018Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 7 2002 Justification and refinement of Winkler-Fuss hypothesis. Zbl 1393.74059Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 7 2018 A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila 6 2020 A revisit to the moving load problem using an asymptotic model for the Rayleigh wave. Zbl 1231.74205Kaplunov, J.; Nolde, E.; Prikazchikov, D. A. 6 2010 Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila 6 2020 Edge and interfacial vibrations in elastic shells of revolution. Zbl 0958.74024Kaplunov, Julius D.; Wilde, Maria V. 5 2000 A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates. Zbl 1236.74174Kaplunov, J. D.; Nolde, E. V.; Shorr, B. F. 5 2005 The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space. Zbl 1371.74148Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A.; Şahin, Onur 5 2017 Edge bending wave on a thin elastic plate resting on a Winkler foundation. Zbl 1371.74194Kaplunov, J.; Prikazchikov, D. A.; Rogerson, G. A. 5 2016 Composite wave models for elastic plates. Zbl 1402.74046Erbaş, Barış; Kaplunov, Julius; Nolde, Evgeniya; Palsü, Melike 5 2018 An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Zbl 1472.74165Wootton, P. T.; Kaplunov, J.; Colquitt, D. J. 5 2019 Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124Its, Alexander; Its, Elizabeth; Kaplunov, Julius 4 2011 On rational boundary conditions for higher-order long-wave models. Zbl 1208.74064Kaplunov, J. D.; Pichugin, A. V. 4 2009 Approximation of the flexural velocity branch in plates. Zbl 1120.74603Poncelet, O.; Shuvalov, A. L.; Kaplunov, J. 4 2006 On a 3D moving load problem for an elastic half space. Zbl 1454.74012Kaplunov, J.; Prikazchikov, D. A.; Erbaş, B.; Şahin, O. 4 2013 An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides. Zbl 1189.74067Perel, Maria V.; Kaplunov, Julius D.; Rogerson, Graham A. 4 2005 A refined asymptotic model of fluid-structure interaction in scattering by elastic shells. Zbl 0949.74016Belov, A. V.; Kaplunov, J. D.; Nolde, E. V. 3 1999 A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate. Zbl 1120.74600Kaplunov, J. D.; Pichugin, A. V. 3 2005 Multi-parametric analysis of strongly inhomogeneous periodic waveguideswith internal cutoff frequencies. Zbl 1368.74050Kaplunov, J.; Nobili, A. 3 2017 An asymptotic higher-order theory for rectangular beams. Zbl 1402.74065Nolde, E.; Pichugin, A. V.; Kaplunov, J. 3 2018 Asymptotic description of the peripheral waves in scattering of a plane acoustic wave by a spherical shell. Zbl 0850.73164Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 3 1992 Elastic contact of a stiff thin layer and a half-space. Zbl 1407.74032Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 3 2019 A quasifront in the problem of the action of an instantaneous point impulse at the edge of a conical shell. Zbl 0884.73034Kaplunov, Yu. D.; Nol’de, E. V. 3 1995 Elastic-plastic torsion of a Cosserat-type rod. Zbl 0856.73028Kaplunov, J. D.; Lippmann, H. 3 1995 Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate. Zbl 07273368Alzaidi, Ahmed S. M.; Kaplunov, Julius; Prikazchikova, Ludmila 3 2019 The Rayleigh wave field in mixed problems for a half-plane. Zbl 1280.35147Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A. 2 2013 Synthesis of the dispersion curves for a cylindrical shell on the basis of approximate theories. Zbl 1046.74508Beresin, V. L.; Kossovich, L. Yu.; Kaplunov, J. D. 2 1995 Short wave motion in a pre-stressed incompressible elastic plate. Zbl 1136.74329Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 2 2002 An explicit asymptotic model for the Bleustein-Gulyaev wave. Zbl 1223.35295Kaplunov, Julius; Kossovich, Leonid; Zakharov, Alexis 2 2004 Radiation conditions for a semi-infinite elastic strip. Zbl 1145.74356Babenkova, E.; Kaplunov, J. 2 2005 On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate. Zbl 1122.74034Kaplunov, J. D.; Pichugin, A. V.; Rogerson, G. A. 2 2006 On the quasi-front in two-dimensional shell theories. Zbl 0741.73013Kaplunov, Julius D. 2 1991 The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I. 2 2018 Analysis of localized edge vibrations of cylindrical shells using the Stroh formalism. Zbl 1291.74089Fu, Y. B.; Kaplunov, J. 2 2012 Lamb problem for a generalized plane stress state. Zbl 0770.73039Kaplunov, Yu. D.; Nol’de, E. V. 2 1992 Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac 2 2022 Slowly varying high-frequency stress-strain states in immersed shells. Zbl 0787.73052Kaplunov, Yu. D. 2 1991 Asymptotic integration of the dynamic equations of the theory of elasticity for the case of thin shells. Zbl 0788.73045Kaplunov, Yu. D.; Kirillova, I. V.; Kossovich, L. Yu. 2 1993 Asymptotic formulae for the modal resonance of peripheral waves in the scattering of an obliquely incident plane acoustic wave by a cylindrical shell. Zbl 0804.76076Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 2 1994 Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Zbl 1486.74059Ege, Nihal; Erbaş, Barış; Kaplunov, Julius 1 2021 Action of a uniformly variable moving force on a Timoshenko beam on an elastic foundation. Transitions through the critical velocities. Zbl 0688.73025Kaplunov, Yu. D.; Muravskij, G. B. 1 1987 On the dynamics of drilling. Zbl 1476.74106Kaplunov, J.; Khajiyeva, L. A.; Martyniuk, M.; Sergaliyev, A. S. 1 2020 Analysis of transient waves in thin structures utilizing matched asymptotic expansions. Zbl 1002.74051Emri, I.; Kaplunov, J. D.; Nolde, E. V. 1 2001 Matching of asymptotic models in scattering of a plane acoustic wave by an elastic cylindrical shell. Zbl 1236.76058Kaplunov, J. D.; Kovalev, V. A.; Wilde, M. V. 1 2003 Universal dynamic theory of shells. Zbl 1125.74352Kaplunov, J. 1 2004 Low-frequency cutoffs for the dispersion spectrum of elastic waves in a thin-walled anisotropic cylinder. Zbl 1160.74026Shuvalov, A. L.; Kaplunov, J.; Nolde, E. 1 2009 Study of an elastic layer in a liquid half-space (two-dimensional problem). Zbl 0726.76088Kaplunov, Yu. D.; Markushevich, D. G. 1 1990 Equations for high-frequency, long-wavelength vibrations of an elastic layer on an acoustic half-space. Zbl 0729.73096Kaplunov, Yu. D. 1 1989 Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates. Zbl 07575005Kaplunov, Julius; Erbaş, Barış; Ege, Nihal 1 2022 Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A. 1 2022 Asymptotic approximations of the 3D dynamical equations of elasticity for the case of a thin body. Zbl 0925.73522Kaplunov, J. D. 1 1996 Uniform asymptotic behaviour of integrals of Bessel functions with a large parameter in the argument. Zbl 1195.33014Kaplunov, J.; Voloshin, V.; Rawlins, A. D. 1 2010 Saint-Venant’s principle in the case of low-frequency oscillations of a strip. Zbl 1100.74567Babenkova, E. V.; Kaplunov, Yu. D.; Ustinov, Yu. A. 1 2005 Composite dynamic models for periodically heterogeneous media. Zbl 07273333Colquitt, Daniel J.; Danishevskyy, Vladyslav V.; Kaplunov, Julius 1 2019 Two-mode long-wave low-frequency approximations for anti-plane shear deformation of a high-contrast asymmetric laminate. Zbl 1487.74058Alkinidri, Mohammed; Kaplunov, Julius; Prikazchikova, Ludmila 1 2021 Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Zbl 07601729Erbaş, Barış; Kaplunov, Julius; Elishakoff, Isaac 2 2022 Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates. Zbl 07575005Kaplunov, Julius; Erbaş, Barış; Ege, Nihal 1 2022 Elastodynamics of a coated half-space under a sliding contact. Zbl 07601719Bratov, V.; Kaplunov, J.; Lapatsin, S. N.; Prikazchikov, D. A. 1 2022 Asymptotic derivation of refined dynamic equations for a thin elastic annulus. Zbl 1486.74059Ege, 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 1487.74058Alkinidri, Mohammed; Kaplunov, Julius; Prikazchikova, Ludmila 1 2021 Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Zbl 1446.74143Prikazchikova, Ludmila; Aydın, Yağmur Ece; Erbaş, Barış; Kaplunov, Julius 9 2020 A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila 6 2020 Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila 6 2020 On the dynamics of drilling. Zbl 1476.74106Kaplunov, 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 1462.74093Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 9 2019 An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Zbl 1472.74165Wootton, P. T.; Kaplunov, J.; Colquitt, D. J. 5 2019 Elastic contact of a stiff thin layer and a half-space. Zbl 1407.74032Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 3 2019 Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate. Zbl 07273368Alzaidi, Ahmed S. M.; Kaplunov, Julius; Prikazchikova, Ludmila 3 2019 Composite dynamic models for periodically heterogeneous media. Zbl 07273333Colquitt, Daniel J.; Danishevskyy, Vladyslav V.; Kaplunov, Julius 1 2019 Justification and refinement of Winkler-Fuss hypothesis. Zbl 1393.74059Kaplunov, J.; Prikazchikov, D.; Sultanova, L. 7 2018 Composite wave models for elastic plates. Zbl 1402.74046Erbaş, Barış; Kaplunov, Julius; Nolde, Evgeniya; Palsü, Melike 5 2018 An asymptotic higher-order theory for rectangular beams. Zbl 1402.74065Nolde, 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 1397.74133Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I. 2 2018 A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 10 2017 The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Zbl 1373.74052Kaplunov, J.; Nobili, A. 8 2017 The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space. Zbl 1371.74148Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A.; Şahin, Onur 5 2017 Multi-parametric analysis of strongly inhomogeneous periodic waveguideswith internal cutoff frequencies. Zbl 1368.74050Kaplunov, J.; Nobili, A. 3 2017 Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 12 2016 Edge bending wave on a thin elastic plate resting on a Winkler foundation. Zbl 1371.74194Kaplunov, J.; Prikazchikov, D. A.; Rogerson, G. A. 5 2016 Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Zbl 1456.74070Craster, R. V.; Joseph, L. M.; Kaplunov, J. 27 2014 On a 3D moving load problem for an elastic half space. Zbl 1454.74012Kaplunov, J.; Prikazchikov, D. A.; Erbaş, B.; Şahin, O. 4 2013 The Rayleigh wave field in mixed problems for a half-plane. Zbl 1280.35147Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A. 2 2013 Bloch dispersion and high frequency homogenization for separable doubly-periodic structures. Zbl 1360.78015Craster, R. V.; Kaplunov, J.; Nolde, E.; Guenneau, S. 15 2012 Edge waves and resonance on elastic structures: an overview. Zbl 1291.74002Lawrie, Jane B.; Kaplunov, Julius 14 2012 Analysis of localized edge vibrations of cylindrical shells using the Stroh formalism. Zbl 1291.74089Fu, Y. B.; Kaplunov, J. 2 2012 High frequency homogenization for structural mechanics. Zbl 1270.74166Nolde, E.; Craster, R. V.; Kaplunov, J. 20 2011 A plane contact problem for an elastic orthotropic strip. Zbl 1254.74088Erbaş, B.; Yusufoğlu, E.; Kaplunov, J. 12 2011 Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124Its, Alexander; Its, Elizabeth; Kaplunov, Julius 4 2011 High-frequency homogenization for periodic media. Zbl 1196.35038Craster, R. V.; Kaplunov, J.; Pichugin, A. V. 84 2010 High-frequency asymptotics, homogenisation and localisation for lattices. Zbl 1225.82007Craster, R. V.; Kaplunov, J.; Postnova, J. 23 2010 A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A. 18 2010 A revisit to the moving load problem using an asymptotic model for the Rayleigh wave. Zbl 1231.74205Kaplunov, J.; Nolde, E.; Prikazchikov, D. A. 6 2010 Uniform asymptotic behaviour of integrals of Bessel functions with a large parameter in the argument. Zbl 1195.33014Kaplunov, J.; Voloshin, V.; Rawlins, A. D. 1 2010 On rational boundary conditions for higher-order long-wave models. Zbl 1208.74064Kaplunov, J. D.; Pichugin, A. V. 4 2009 Low-frequency cutoffs for the dispersion spectrum of elastic waves in a thin-walled anisotropic cylinder. Zbl 1160.74026Shuvalov, A. L.; Kaplunov, J.; Nolde, E. 1 2009 Three-dimensional edge waves in plates. Zbl 1139.74029Zernov, V.; Kaplunov, J. 12 2008 Eigenvalue of a semi-infinite elastic strip. Zbl 1149.74340Zernov, V.; Pichugin, A. V.; Kaplunov, J. 19 2006 Explicit models for elastic and piezoelastic surface waves. Zbl 1112.74033Kaplunov, J.; Zakharov, A.; Prikazchikov, D. 15 2006 An asymptotic analysis of initial-value problems for thin elastic plates. Zbl 1149.74357Kaplunov, Julius; Nolde, Evgeniya; Rogerson, Graham A. 8 2006 Approximation of the flexural velocity branch in plates. Zbl 1120.74603Poncelet, O.; Shuvalov, A. L.; Kaplunov, J. 4 2006 On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate. Zbl 1122.74034Kaplunov, J. D.; Pichugin, A. V.; Rogerson, G. A. 2 2006 Localized vibration in elastic structures with slowly varying thickness. Zbl 1088.74027Kaplunov, J. D.; Rogerson, G. A.; Tovstik, P. E. 16 2005 A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates. Zbl 1236.74174Kaplunov, J. D.; Nolde, E. V.; Shorr, B. F. 5 2005 An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides. Zbl 1189.74067Perel, Maria V.; Kaplunov, Julius D.; Rogerson, Graham A. 4 2005 A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate. Zbl 1120.74600Kaplunov, J. D.; Pichugin, A. V. 3 2005 Radiation conditions for a semi-infinite elastic strip. Zbl 1145.74356Babenkova, E.; Kaplunov, J. 2 2005 Saint-Venant’s principle in the case of low-frequency oscillations of a strip. Zbl 1100.74567Babenkova, E. V.; Kaplunov, Yu. D.; Ustinov, Yu. A. 1 2005 Low-frequency decay conditions for a semi-infinite elastic strip. Zbl 1070.74016Babenkova, E.; Kaplunov, J. 8 2004 An explicit asymptotic model for the Bleustein-Gulyaev wave. Zbl 1223.35295Kaplunov, Julius; Kossovich, Leonid; Zakharov, Alexis 2 2004 Universal dynamic theory of shells. Zbl 1125.74352Kaplunov, J. 1 2004 Matching of asymptotic models in scattering of a plane acoustic wave by an elastic cylindrical shell. Zbl 1236.76058Kaplunov, J. D.; Kovalev, V. A.; Wilde, M. V. 1 2003 Long-wave vibrations of a nearly incompressible isotropic plate with fixed faces. Zbl 1036.74024Kaplunov, J. D.; Nolde, E. V. 14 2002 An asymptotically consistent model for long-wave high-frequency motion in a pre-stressed elastic plate. Zbl 1062.74018Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 7 2002 Short wave motion in a pre-stressed incompressible elastic plate. Zbl 1136.74329Kaplunov, J. D.; Nolde, E. V.; Rogerson, G. A. 2 2002 Analysis of transient waves in thin structures utilizing matched asymptotic expansions. Zbl 1002.74051Emri, I.; Kaplunov, J. D.; Nolde, E. V. 1 2001 A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures. Zbl 1049.74583Kaplunov, 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 0984.74030Kaplunov, J. D.; Kossovich, L. Yu; Rogerson, G. A. 11 2000 Edge and interfacial vibrations in elastic shells of revolution. Zbl 0958.74024Kaplunov, Julius D.; Wilde, Maria V. 5 2000 A refined asymptotic model of fluid-structure interaction in scattering by elastic shells. Zbl 0949.74016Belov, A. V.; Kaplunov, J. D.; Nolde, E. V. 3 1999 Dynamics of thin walled elastic bodies. Zbl 0927.74001Kaplunov, J. D.; Kossovich, L. Yu.; Nolde, E. V. 64 1998 Asymptotic approximations of the 3D dynamical equations of elasticity for the case of a thin body. Zbl 0925.73522Kaplunov, J. D. 1 1996 Long-wave vibrations of a thin-walled body with fixed faces. Zbl 0829.73028Kaplunov, J. D. 13 1995 A quasifront in the problem of the action of an instantaneous point impulse at the edge of a conical shell. Zbl 0884.73034Kaplunov, Yu. D.; Nol’de, E. V. 3 1995 Elastic-plastic torsion of a Cosserat-type rod. Zbl 0856.73028Kaplunov, J. D.; Lippmann, H. 3 1995 Synthesis of the dispersion curves for a cylindrical shell on the basis of approximate theories. Zbl 1046.74508Beresin, 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 0804.76076Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 2 1994 On Timoshenko-Reissner type theories of plates and shells. Zbl 0767.73036Gol’denvejzer, A. L.; Kaplunov, J. D.; Nolde, E. V. 32 1993 Plane vibrations and radiation of an elastic layer lying on a liquid half-space. Zbl 0776.73050Kaplunov, J. D.; Markushevich, D. G. 12 1993 Asymptotic integration of the dynamic equations of the theory of elasticity for the case of thin shells. Zbl 0788.73045Kaplunov, Yu. D.; Kirillova, I. V.; Kossovich, L. Yu. 2 1993 Asymptotic description of the peripheral waves in scattering of a plane acoustic wave by a spherical shell. Zbl 0850.73164Kaplunov, J. D.; Nolde, E. V.; Veksler, N. D. 3 1992 Lamb problem for a generalized plane stress state. Zbl 0770.73039Kaplunov, Yu. D.; Nol’de, E. V. 2 1992 On the quasi-front in two-dimensional shell theories. Zbl 0741.73013Kaplunov, Julius D. 2 1991 Slowly varying high-frequency stress-strain states in immersed shells. Zbl 0787.73052Kaplunov, Yu. D. 2 1991 Study of an elastic layer in a liquid half-space (two-dimensional problem). Zbl 0726.76088Kaplunov, Yu. D.; Markushevich, D. G. 1 1990 Equations for high-frequency, long-wavelength vibrations of an elastic layer on an acoustic half-space. Zbl 0729.73096Kaplunov, 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 0688.73025Kaplunov, Yu. D.; Muravskij, G. B. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 446 Authors 50 Kaplunov, Julius D. 23 Craster, Richard V. 21 Rogerson, Graham A. 16 Prikazchikov, Danila A. 12 Erbaş, Bariş 9 Andrianov, Igor Vasil’evich 8 Guzina, Bojan B. 8 Pichugin, Aleksey V. 7 Danishevskiĭ, Vladislav Valentinovich 6 Demirkus, Dilek 6 Elishakoff, Isaac 6 Eremeyev, Victor A. 6 Kuznetsov, Sergey V. 6 Nobili, Andrea 6 Prikazchikova, Ludmila 5 Colquitt, Daniel J. 5 Dai, Hui-Hui 5 Guenneau, Sebastien R. L. 5 Kossovich, Leonid Yu. 5 Nazarov, Sergeĭ Aleksandrovich 5 Nol’de, E. V. 5 Shuvalov, Alexander L. 4 Ege, Nihal 4 Geers, Marc G. D. 4 Kouznetsova, Varvara G. 4 Lawrie, Jane B. 4 Maling, B. 4 Mikhasev, Gennadiĭ Ivanovich 4 Moukhomodiarov, Rinat R. 4 Movchan, Alexander B. 4 Pagneux, Vincent 4 Radi, Enrico 3 Adams, Samuel D. M. 3 Aghalovyan, Lenser A. 3 Andrianov, Igor V. 3 Antonakakis, T. 3 Bochkarev, Andreĭ Vladimirovich 3 Boutin, Claude 3 Carta, Giorgio 3 Challamel, Noël 3 Fu, Yibin 3 Hache, Florian 3 Hans, Stephane 3 Johnson, Edward Robert 3 Jones, Ian S. 3 Kaoullas, George 3 Karp, Baruch 3 Lanzoni, Luca 3 Madeo, Angela 3 Marigo, Jean-Jacques 3 Maurel, Agnès 3 Mishuris, Gennady S. 3 Nawaz, Rab 3 Neff, Patrizio 3 Oudghiri-Idrissi, Othman 3 Sahin, Onur 3 Schnitzer, Ory 3 Song, Zilong 3 Sridhar, Ashwin 3 Sultanova, L. 3 Tanner, Gregor K. 3 Topol, Heiko 3 Vinh, Pham Chi 3 Wilde, Maria V. 3 Yusufoğlu (Agadjanov), Elçin 2 Abrahams, I. David 2 Adamou, Alexander T. I. 2 Alzaidi, Ahmed S. M. 2 Argatov, Ivan I. 2 Assier, Raphaël C. 2 Awrejcewicz, Jan 2 Bacigalupo, Andrea 2 Bonnet, Marc 2 Brun, Michele 2 Cakoni, Fioralba 2 Chapman, C. J. 2 Chen, Xiaoyi 2 Cherednichenko, Kirill D. 2 Chesnais, Céline 2 Comi, Claudia 2 Cornaggia, Rémi 2 Creagh, Stephen C. 2 Cui, Junzhi 2 Deliktas-Ozdemir, Ekin 2 Deng, Zichen 2 Fafalis, Dimitrios 2 Falsone, Giovanni 2 Feng, Feilong 2 Fish, Jacob 2 Förster, Clemens 2 Galybin, Alexander N. 2 Ganghoffer, Jean-François 2 Gavrilov, Serge N. 2 Ghayesh, Mergen H. 2 Godin, Yuri A. 2 Gol’denvejzer, A. L. 2 Griffin, Jory 2 Güler, Mehmet Ali 2 Hawwa, Muhammad A. 2 Its, Alexander Rudolfovich ...and 346 more Authors all top 5 Cited in 69 Serials 43 Wave Motion 41 Mathematics and Mechanics of Solids 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 17 International Journal of Engineering Science 15 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 12 Acta Mechanica 10 Journal of the Mechanics and Physics of Solids 9 European Journal of Mechanics. A. Solids 8 Applied Mathematical Modelling 7 SIAM Journal on Applied Mathematics 6 Journal of Applied Mathematics and Mechanics 6 Computational Mechanics 6 Journal of Elasticity 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 International Journal of Solids and Structures 5 Journal of Engineering Mathematics 5 Journal of Fluid Mechanics 5 Meccanica 5 Journal of Mathematical Sciences (New York) 5 Mechanics of Solids 4 Computer Methods in Applied Mechanics and Engineering 4 Archive of Applied Mechanics 4 Waves in Random and Complex Media 4 Philosophical Transactions of the Royal Society of London. A. 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(English Edition) 1 Pure and Applied Analysis all top 5 Cited in 28 Fields 287 Mechanics of deformable solids (74-XX) 72 Partial differential equations (35-XX) 35 Fluid mechanics (76-XX) 20 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of particles and systems (70-XX) 8 Quantum theory (81-XX) 7 Numerical analysis (65-XX) 7 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-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 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year