Keele Research Repository

Article

Ege, N, Erbaş, B, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Noori, N (2023) Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell. Zeitschrift für angewandte Mathematik und Physik, 74 (2).

Aney, S, Shestakov, M, Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103, Milow, B, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Voggenreiter, H and Rege, A (2023) Cellulose-Aerogele als multifunktionale und nachhaltige Alternativen für Flugzeugkabinenelemente. Deutsche Gesellschaft für Luft- und Raumfahrt.

Erbaş, B, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Kiliç, G (2022) Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation. IMA Journal of Applied Mathematics, 87 (5). 707 - 721.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 and Sabirova, RF (2022) On a Hyperbolic Equation for the Rayleigh Wave. Doklady Physics, 67 (10). 424 - 427.

Alzaidi, ASM, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103, Wootton, P ORCID: https://orcid.org/0000-0003-4932-2329 and Nikonov, A (2022) The effect of contact conditions on the performance of flexural seismic metasurfaces. Zeitschrift für angewandte Mathematik und Physik, 73 (5).

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 and Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103 (2022) On non-locally elastic Rayleigh wave. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380 (2231).

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Erbaş, B and Ege, N (2022) Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates. International Journal of Engineering Science, 178 (103723).

Bratov, V, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Lapatsin, SN and Prikazchikov, DA (2022) Elastodynamics of a coated half-space under a sliding contact. Mathematics and Mechanics of Solids. 108128652210944 - 108128652210944.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Panasenko, G and Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103 (2022) Homogenized equation of second-order accuracy for conductivity of laminates. Applicable Analysis. 1 - 9.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA and Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103 (2022) On integral and differential formulations in nonlocal elasticity. European Journal of Mechanics - A/Solids.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103 and Alkinidri, M (2021) Antiplane shear of an asymmetric sandwich plate. Continuum Mechanics and Thermodynamics.

Fu, Y ORCID: https://orcid.org/0000-0002-9617-0420, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Ogden, RW (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, 476 (2240). 20200615 - ?.

Wootton, PT, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 (2020) A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. IMA Journal of Applied Mathematics, 85 (1). 113 - 131.

Fu, Y ORCID: https://orcid.org/0000-0002-9617-0420, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 (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, 476. 20190590 - 20190590.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079, Prikazchikova, L, Nikonov, A and Savšek, T (2019) Multi-parametric dynamic analysis of lightweight elastic laminates. IOP Conference Series: Materials Science and Engineering, 683 (1).

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 and Sultanova, L (2019) Rayleigh-type waves on a coated elastic half-space with a clamped surface. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 377 (2156).

Kaplunov, J, Danishevskyy, VV ORCID: https://orcid.org/0000-0002-3049-4721 and Colquitt, D (2019) Composite dynamic models for periodically heterogeneous media. Mathematics and Mechanics of Solids, 24 (9). pp. 2663-2693.

Alzaidi, AS, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Prikazchikova, L (2019) The edge bending wave on a plate reinforced by a beam (L). The Journal of the Acoustical Society of America, 146 (2). 1061 - ?.

Wootton, PT, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Colquitt, DJ (2019) An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475 (2227). 20190079 - ?.

Erbaş, B, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Palsü, M (2019) A composite hyperbolic equation for plate extension. Mechanics Research Communications, 99. pp. 64-67.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 and Sultanova, L (2019) Elastic contact of a stiff thin layer and a half-space. Zeitschrift fur angewandte Mathematik und Physik ZAMP, 70 (22).

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079, Prikazchikova, LA and Sergushova, O (2019) The lowest vibration spectra of multi-component structures with contrast material properties. Journal of Sound and Vibration, 445. 132 -147.

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Erbas, B, Nobili, A and Kilic, G (2018) Dispersion of elastic waves in a layer interacting with a Winkler foundation. Journal of the Acoustical Society of America, 144 (5).

Aydin, YE, Erbas, B, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Prikazchikova, L (2018) Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Mathematics and Mechanics of Solids, 25 (1). pp. 3-16.

Erbas, B, Kaplunov, J, Nolde, E and Palsu, M (2018) Composite wave models for elastic plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474 (2214).

Nolde, E, Pichugin, AV and Kaplunov, J (2018) An asymptotic higher-order theory for rectangular beams. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Kaplunov, J, Prikazchikov, D and Sultanova, L (2018) Justification and refinement of Winkler-Fuss hypothesis. Zeitschrift fur angewandte Mathematik und Physik, 69 (3).

Kaplunov, J, Prikazchikov, DA and Prikazchikova, LA (2017) Dispersion of elastic waves in laminated glass. Procedia Engineering, 199. 1489 -1494.

Ege, N, Erbas, B, Chorozoglou, A, Kaplunov, J and Prikazchikov, DA (2017) On surface wave fields arising in soil-structure interaction problems. Procedia Engineering, 199. 2366 -2371.

Althobaiti, S, Kaplunov, J and Prikazchikov, D (2017) An edge moving load on an orthotropic plate resting on a Winkler foundation. Procedia Engineering, 199. pp. 2579-2584.

Kaplunov, J and Nobili, A (2017) A robust approach for analysing dispersion of elastic waves in an orthotropic cylindrical shell. Journal of Sound and Vibration, 401. 23 - 35.

Chebakov, R, Kaplunov, J and Rogerson, GA ORCID: https://orcid.org/0000-0003-0264-2931 (2017) A nonlocal asymptotic theory for thin elastic plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2203).

Kaplunov, J and Prikazchikov, D (2017) Asymptotic Theory for Rayleigh and Rayleigh-Type Waves. Advances in Applied Mechanics, 50. pp. 1-106.

Prikazchikov, D, Kaplunov, J and Prikazchikova, L (2017) Dispersion of elastic waves in a strongly inhomogeneous three-layered plate. International Journal of Solids and Structures, 113/14. pp. 169-179.

Kaplunov, J, Prikazchikov, D and Rogerson, GA (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, 472 (2190).

Kaplunov, J, Manevitch, LI and Smirnov, VV (2016) Vibrations of an elastic cylindrical shell near the lowest cut-off frequency. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2189).

Kaplunov, J and Nobili, A (2016) Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies. Mathematical Methods in the Applied Sciences, 40 (9). pp. 3381-3392.

Chebakov, R, Kaplunov, J and Rogerson, GA ORCID: https://orcid.org/0000-0003-0264-2931 (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, 472 (2186).

Kaplunov, J, Prikazchikov, D and Sergushova, O (2015) Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. Journal of Sound and Vibration, 366. pp. 264-276.

Elishakoff, I, Kaplunov, J and Nodle, E (2015) Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia. Applied Mechanics Reviews, 67 (6).

Kaplunov, J and Nobili, A (2015) The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Journal of Vibration and Control, 23 (12). pp. 2014-2022.

Kaplunov, J, Shestakova, A, Aleynikov, I, Hopkins, B and Talonov, A (2015) Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar. Mechanics of Time-Dependent Materials, 19 (2). 135 -151.

Erbas, B, Kaplunov, J, Prikazchikov, D and Sahin, O (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.

Kaplunov, J, Prikazchikov, DA, Rogerson, GA and Lashab, MI (2014) The edge wave on an elastically supported Kirchhoff plate. The Journal of the Acoustical Society of America, 136 (4). 1487 - 1490.

Craster, RV, Joseph, LM and Kaplunov, J (2014) Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Wave Motion, 51 (4). 581 - 588.

Craster, RV, Guenneau, S, Kaplunov, J and Nolde, E (2011) On a class of three-phase checkerboards with unusual effective properties. Comptes Rendus Mécanique, 339 (6). pp. 411-417.

Book Section

Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546, Prikazchikova, L ORCID: https://orcid.org/0000-0001-9051-2103 and Shamsi, S (2022) Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer. In: Advances in Solid and Fracture Mechanics. Springer, 127 - 134.

Danishevskyy, V ORCID: https://orcid.org/0000-0002-3049-4721, Kaplunov, J, Rogerson, G and Kotov, N (2015) Nonlinear elastic waves in a fibre-reinforced composite with an imperfect interface. In: Dynamical Systems. Control and Stability. ARSA Druk i Reklama.

Kaplunov, J and Prikazchikov, DA (2013) Explicit models for surface, interfacial and edge waves in elastic solids. In: Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism. CISM International Centre for Mechanical Sciences (547). Springer Science & Business Media, Vienna, pp. 73-114.