
Professor Julius Kaplunov
- Title
- Professor
- Location
- MacKay Building Room 2.32
- Phone
- +44 (0) 1782 733526
- j.kaplunov@keele.ac.uk
Biography
Biography
I was awarded my PhD and DSc in Theoretical Solid Mechanics by the Institute for Problems in Mechanics at the Russian Academy of Sciences. I was affiliated with this institution until 2000, when I joined Manchester University. In 2005 I moved to Brunel University where I spent seven years before coming to Keele in 2012. I have also held several visiting positions all over the world, including the University of Alberta, Bordeaux University, City University of Hong-Kong, Technical University of Munich, and Tel-Aviv University.
Research and scholarship
Research and scholarship
My research interests lie in the general area of physical applied mathematics, including continuum mechanics, acoustics, asymptotic analysis, and multi-scale modelling. I have co-authored over 100 publications in these areas. Amongst these are 3 books including the advanced research monograph ‘Dynamics of Thin Walled Elastic Bodies’, written in collaboration with L.Kossovich and E.Nolde. I am a member of the editorial boards of 5 journals, such as Mathematics and Mechanics of Solids, and Mechanics of Time Dependent Materials.
Research Themes:-
- Theoretical Solid Mechanics
- Multi-scale modelling of nano and meta materials
Teaching
Teaching
- MAT-30011: Waves
- MAT-30028: Perturbation Methods
Publications
Publications
Journal Articles
- Erbaş, Barış; Itskov, Mikhail; Kaplunov, Julius; Prikazchikov, Danila. 01-12-2024. 'Multimode long-wave approximation for a viscoelastic coating subject to antiplane shear'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Erbaş, Barış; Itskov, Mikhail; Kaplunov, Julius; Rajagopal, Kumbakonam R. . 'Response of a thin coating of a porous elastic material whose generalised Young’s modulus depends on the density'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Prikazchikova, Ludmila; Nolde, Evgeniya; Miszuris, Wiktoria; Kaplunov, Julius. 01-12-2024. 'On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation'. International Journal of Engineering Science. DOI > view in repository >
- Prikazchikova, Ludmila; Rege, Ameya; Kaplunov, Julius; Prikazchikov, Danila. 26-10-2024. 'Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Alzaidi, Ahmed S. M.; Kaplunov, Julius; Zupančič, Barbara; Nikonov, Anatolij. . 'Transverse Compression of a Thin Inhomogeneous Elastic Layer'. Mathematics. DOI > view in repository >
- Yücel, H.; Kaplunov, J.; Ege, N.; Erbaş, B.. . 'Asymptotic Derivation of Consistent thin Shell Equations for a Fluid-Loaded Elastic Annulus'. Journal of Applied Mechanics and Technical Physics. DOI > view in repository >
- Alzaidi, Ahmed S. M.; Kaplunov, Julius; Nikonov, Anatolij; Zupančič, Barbara. 01-06-2024. 'Transverse compression of a thin elastic disc'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Yücel, Hazel; Ege, Nihal; Erbaş, Barış; Kaplunov, Julius. . 'A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Erbaş, Barış; Kaplunov, Julius; Rajagopal, Kumbakonam R.. 01-04-2024. 'Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus'. International Journal of Non-Linear Mechanics. DOI > view in repository >
- Aghalovyan, L. A.; Ghulghazaryan, L. G.; Kaplunov, J. D.; Prikazchikov, D. A.. 01-07-2023. 'Three-Dimensional Dynamic Analysis of Layered Elastic Shells'. Journal of Mathematical Sciences. DOI > view in repository >
- Kaplunov, Julius; Prikazchikova, Ludmila; Shamsi, Sheeru. . 'A hierarchy of asymptotic models for a fluid-loaded elastic layer'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Aghalovyan, Lenser A.; Ghulghazaryan, Lusine G.; Kaplunov, Julius; Prikazchikov, Danila. . 'Degenerated Boundary Layers and Long-Wave Low-Frequency Motion in High-Contrast Elastic Laminates'. Mathematics. DOI > view in repository >
- Abdusalamov, Rasul; Kaplunov, Julius; Itskov, Mikhail. . 'Discovering asymptotic expansions for problems in mechanics using symbolic regression'. Mechanics Research Communications. DOI > view in repository >
- Kaplunov. 01-04-2023. 'Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Kaplunov, J. D.; Prikazchikov, D. A.; Sabirova, R. F.. 24-03-2023. 'On a Hyperbolic Equation for the Rayleigh Wave'. DOKLADY PHYSICS. DOI > view in repository >
- Aney, S.; Schestakow, M.; Prikazchikova, L.; Milow, B.; Prikazchikov, D.; Kaplunov, J.; Voggenreiter, H.; Rege, A.. 06-01-2023. 'Cellulose-Aerogele als multifunktionale und nachhaltige Alternativen für Flugzeugkabinenelemente'. Deutsche Gesellschaft für Luft- und Raumfahrt. DOI > view in repository >
- Kaplunov. 27-10-2022. 'Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation'. IMA Journal of Applied Mathematics. DOI > view in repository >
- Alzaidi, Ahmed S.M.; Kaplunov, Julius; Prikazchikova, Ludmila; Wootton, Peter; Nikonov, Anatolij. 01-10-2022. 'The effect of contact conditions on the performance of flexural seismic metasurfaces'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Kaplunov; Prikazchikov; Prikazchikova. 05-09-2022. 'On non-locally elastic Rayleigh wave'. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Erbas, Baris; Kaplunov, Julius; Elishakoff, Isaac. 01-09-2022. 'Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation'. MATHEMATICS AND MECHANICS OF SOLIDS. DOI > view in repository >
- Kaplunov. 01-08-2022. 'Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates'. International Journal of Engineering Science. DOI > view in repository >
- Bratov, V; Kaplunov, J; Lapatsin, SN; Prikazchikov, DA. 07-05-2022. 'Elastodynamics of a coated half-space under a sliding contact'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Ege, Nihal; Erbas, Baris; Kaplunov, Julius; Noori, Noorullah. 03-03-2022. 'Low-frequency vibrations of a thin-walled functionally graded cylinder (plane strain problem)'. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES. DOI > view in repository >
- Kaplunov, Julius; Prikazchikova, Liudmila; Panasenko, Grigory. 03-02-2022. 'Homogenized equation of second-order accuracy for conductivity of laminates'. Applicable Analysis. DOI > view in repository >
- Prikazchikova, Liudmila; Kaplunov, Julius; Prikazchikov, Danila A. 02-01-2022. 'On integral and differential formulations in nonlocal elasticity'. European Journal of Mechanics - A/Solids. DOI > view in repository >
- Ege, Nihal; Erbaş, Barış; Kaplunov, Julius. 01-01-2021. 'Asymptotic derivation of refined dynamic equations for a thin elastic annulus'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Kaplunov, Julius; Şahin, Onur. 01-10-2020. 'Perturbed rigid body motions of an elastic rectangle'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Şahin, Onur; Erbaş, Barış; Kaplunov, Julius; Savšek, Tomaž. 01-02-2020. 'The lowest vibration modes of an elastic beam composed of alternating stiff and soft components'. Archive of Applied Mechanics. DOI > view in repository >
- Kaplunov, J.; Khajiyeva, L.A.; Martyniuk, M.; Sergaliyev, A.S.. 01-01-2020. 'On the dynamics of drilling'. International Journal of Engineering Science. DOI > view in repository >
- Alzaidi, Ahmed SM; Kaplunov, Julius; Prikazchikova, Ludmila. 01-10-2019. 'Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Challamel, N.; Zhang, H.; Wang, C.M.; Kaplunov, J.. 01-04-2019. 'Scale effect and higher-order boundary conditions for generalized lattices, with direct and indirect interactions'. Mechanics Research Communications. DOI > view in repository >
- Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I.. 01-02-2018. 'The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell'. Zeitschrift für angewandte Mathematik und Physik. DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D.A.; Erbaş, B.; Şahin, O.. 01-12-2013. 'On a 3D moving load problem for an elastic half space'. Wave Motion. DOI > view in repository >
- Erbas, B.; Kaplunov, J.; Prikazchikov, D. A.. 01-10-2013. 'The Rayleigh wave field in mixed problems for a half-plane'. IMA Journal of Applied Mathematics. DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D. A.. . 'On The Derivation Of A String Equation'. Mechanics - Proceedings of National Academy of Sciences of Armenia. DOI > view in repository >
- Ege, Nihal; Erbaş, Bariş; Kaplunov, Julius; Wootton, Peter. . 'Approximate analysis of surface wave-structure interaction'. Journal of Mechanics of Materials and Structures. DOI > view in repository >
- Prikazchikova, Liudmila; Kaplunov, Julius; Alkinidri, Mohammed. 26-01-2021. 'Antiplane shear of an asymmetric sandwich plate'. Continuum Mechanics and Thermodynamics. DOI > view in repository >
- Fu; Kaplunov. 26-08-2020. 'Preface to a special feature dedicated to the memory of Prof. Peter Chadwick FRS.'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Prikazchikov; Kaplunov; Fu. 12-02-2020. 'Reduced model for the surface dynamics of a generally anisotropic elastic half-space'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Wootton, Peter T; Prikazchikov, Danila; Kaplunov, Julius. 01-02-2020. 'A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane'. IMA Journal of Applied Mathematics. DOI > view in repository >
- Prikazchikov, Danila; Kaplunov, Julius; Prikazchikova, Liudmila. 13-12-2019. 'Multi-parametric dynamic analysis of lightweight elastic laminates'. IOP Conference Series: Materials Science and Engineering. DOI > view in repository >
- Kaplunov; Prikazchikov. 02-09-2019. 'Rayleigh-type waves on a coated elastic half-space with a clamped surface'. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Kaplunov. 01-09-2019. 'Composite dynamic models for periodically heterogeneous media'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Kaplunov. 12-08-2019. 'The edge bending wave on a plate reinforced by a beam (L).'. The Journal of the Acoustical Society of America. DOI > view in repository >
- Wootton, P.T.; Kaplunov, J.; Colquitt, D.J.. 26-07-2019. 'An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces.'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Kaplunov. 29-06-2019. 'A composite hyperbolic equation for plate extension'. Mechanics Research Communications. DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D.; Sultanova, L.. 01-02-2019. 'Elastic contact of a stiff thin layer and a half-space'. Zeitschrift fur angewandte Mathematik und Physik ZAMP. DOI > view in repository >
- Prikazchikov; Kaplunov. 14-01-2019. 'The lowest vibration spectra of multi-component structures with contrast material properties'. Journal of Sound and Vibration. DOI > view in repository >
- Kaplunov. 21-11-2018. 'Dispersion of elastic waves in a layer interacting with a Winkler foundation'. Journal of the Acoustical Society of America. DOI > view in repository >
- Prikazchikova, Ludmila; Ece Aydın, Yağmur; Erbaş, Barış; Kaplunov, Julius. 03-08-2018. 'Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Kaplunov. 30-06-2018. 'Composite wave models for elastic plates'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Nolde, E.; Pichugin, A.V.; Kaplunov, J.. 01-06-2018. 'An asymptotic higher-order theory for rectangular beams'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D.; Sultanova, L.. 28-05-2018. 'Justification and refinement of Winkler-Fuss hypothesis'. Zeitschrift fur angewandte Mathematik und Physik. DOI > view in repository >
- Ege, Nihal; Erbas, Baris; Chorozoglou, Andreas; Kaplunov, Julius; Prikazchikov, Danila A.. 12-09-2017. 'On surface wave fields arising in soil-structure interaction problems'. Procedia Engineering. DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D.A.; Prikazchikova, L.A.. 12-09-2017. 'Dispersion of elastic waves in laminated glass'. Procedia Engineering. DOI > view in repository >
- Althobaiti, Saad N.; Kaplunov, Julius; Prikazchikov, Danila A.. 12-09-2017. 'An edge moving load on an orthotropic plate resting on a Winkler foundation'. Procedia Engineering. DOI > view in repository >
- Kaplunov. 04-08-2017. 'A robust approach for analysing dispersion of elastic waves in an orthotropic cylindrical shell'. Journal of Sound and Vibration. DOI > view in repository >
- Kaplunov. 12-07-2017. 'A nonlocal asymptotic theory for thin elastic plates'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Prikazchikov, Danila; Kaplunov, Julius; Prikazchikova, Liudmila. 15-05-2017. 'Dispersion of elastic waves in a strongly inhomogeneous three-layered plate'. International Journal of Solids and Structures. DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D.A.; Rogerson, G.A.. 01-06-2016. 'Edge bending wave on a thin elastic plate resting on a Winkler foundation'. Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Kaplunov, J.; Manevitch, L.I.; Smirnov, V.V.. 04-05-2016. 'Vibrations of an elastic cylindrical shell near the lowest cut-off frequency'. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Prikazchikov, Danila; Kaplunov, Julius; Sergushova, Olga. 31-03-2016. 'Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods'. Journal of Sound and Vibration. DOI > view in repository >
- Kaplunov. 07-03-2016. 'Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies'. Mathematical Methods in the Applied Sciences. DOI > view in repository >
- Kaplunov. 10-02-2016. 'Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects'. Proceedings of the Royal Society A, Mathematical, Physical and Engineering Sciences. DOI > view in repository >
- Danishevs׳kyy, Vladyslav V.; Kaplunov, Julius D.; Rogerson, Graham A.. 01-11-2015. 'Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface'. International Journal of Non-Linear Mechanics. DOI > view in repository >
- Elishakoff, Isaac; Kaplunov, Julius; Nolde, Evgeniya. 01-11-2015. 'Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia'. Applied Mechanics Reviews. DOI > view in repository >
- Kaplunov. 18-09-2015. 'The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation'. Journal of Vibration and Control. DOI > view in repository >
- Kaplunov. 21-02-2015. 'Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar'. Mechanics of Time-Dependent Materials. DOI > view in repository >
- Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A; Şahin, Onur. 20-10-2014. 'The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space'. Mathematics and Mechanics of Solids. DOI > view in repository >
- Kaplunov, Julius; Prikazchikov, Danila A.; Rogerson, Graham A.; Lashab, Mohamed I.. 01-10-2014. 'The edge wave on an elastically supported Kirchhoff plate'. The Journal of the Acoustical Society of America. DOI > view in repository >
- Kaplunov. 01-06-2014. 'Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media'. Wave Motion. DOI > view in repository >
- Kaplunov, Julius; Prikazchikova, Ludmila; Shamsi, Sheeru. . 'On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer'. Continuum Mechanics and Thermodynamics. DOI > view in repository >
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Book
- Kaplunov, Julius. 06-07-2021. 'Modern Trends in Structural and Solid Mechanics 1: Statics and Stability (Ed. J Kaplunov)'. . DOI > view in repository >
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Book Chapters
- Chernomorets, Illia; Kaplunov, Julius; Prikazchikov, Danila. 01-01-2024. 'Two-Parametric Analysis of a Semi-Infinite Three-Layered High-Contrast Elastic Strip Under Antiplane Shear Deformation'. . DOI > view in repository >
- Erbaş, Barış; Kaplunov, Julius; Rajagopal, Kumbakonam R.. 13-07-2023. '2D Asymptotic Analysis of a Thin Elastic Beam with Density-Dependent Generalized Young’s Modulus'. . DOI > view in repository >
- Yücel, Hazel; Erbaş, Barış; Ege, Nihal; Kaplunov, Julius. 01-01-2023. 'The Lowest Eigenfrequencies of an Immersed Thin Elastic Cylindrical Shell'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikov, Danila A.; Savšek, Tomaž. 31-12-2022. 'Dynamic Sliding Contact for a Thin Elastic Layer'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikova, Liudmila; Shamsi, Sheeru. 09-11-2022. 'Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikova, Ludmila; Shamsi, Sheeru. 01-01-2022. 'Some aspects of wave propagation in a fluid-loaded membrane'. . DOI > view in repository >
- Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Kaplunov, Julius D.; Markert, Bernd. 01-01-2019. 'Wide Frequency Higher-Order Dynamic Model for Transient Waves in a Lattice'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikov, Danila; Sultanova, Leyla. 01-01-2019. 'On Higher Order Effective Boundary Conditions for a Coated Elastic Half-Space'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikov, Danila A.. 13-04-2017. 'Asymptotic Theory for Rayleigh and Rayleigh-Type Waves'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikov, Danila A.; Sergushova, Olga. 01-01-2017. 'Lowest Vibration Modes of Strongly Inhomogeneous Elastic Structures'. . DOI > view in repository >
- Kaplunov, Julius; Prikazchikov, D. A.. 01-01-2013. 'Explicit Models for Surface, Interfacial and Edge Waves'. . DOI > view in repository >
- Wootton, Peter; Kaplunov, Julius. . 'Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns'. . DOI > view in repository >
- Kaplunov, Julius. 01-01-2015. 'Nonlinear elastic waves in a fibre-reinforced composite with an imperfect interface'. . view in repository >
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Conference Proceedings
- Andrianov, I.; Danishevskyy, V.; Kaplunov, J.; Kirichek, Y.. 01-06-2024. 'Elastic waves in periodically anisotropic heterogeneous media: bridge the gap between rigorous and phenomenological approaches'. . DOI > view in repository >
- Bratov, V.; Kaplunov, J.; Prikazchikov, D. A.. 01-06-2016. 'On steady-state moving load problems for an elastic half-space'. . DOI > view in repository >
- Kaplunov, J.; Prikazchikov, D.A.. 01-07-2014. 'On the near-resonant regimes of the moving load in case of a coated elastic half-space'. . view in repository >
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Working Paper
- Andrianov, Igor; Danishevskyy, Vladislav; Kaplunov, Julius. . 'Low-Frequency Vibrations of a High-Contrast Orthotropic Lattice'. . view in repository >
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Awards and Honours
Awards and Honours
Elected Member of European Academy of Sciences 2020
Article ‘Eigen-value of a semi-infinite elastic strip’ (jointly with A.Pichugin and V.Zernov) is a Board Member’s Favourite in Proc Roy Soc London A (2006-2007); see see review by A. N. Norris.
Administration roles
Administration roles
I have also taken various administrative roles, including Headship of Mathematics Department at Brunel.
Currently, I lead the Mathematics Research Centre at Keele. In addition, I have an experience of managing major international networks involving both teaching-learning and research components, including Erasmus+ program (Azerbaijan, Belorussia, Georgia, Kazakhstan, Russia), University of Modena Reggio Emilia (Italy), Anadolu University (Turkey).
I am also an external examiner of BSc and MSc programs at Liverpool University.
School of Computer Science and Mathematics
Keele University
Staffordshire
ST5 5AA
Email: scm.admin@keele.ac.uk
Tel:+44 (0) 1782 731830