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- Julius Kaplunov
- Biography
- Research and Scholarship
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- Awards and Honours
- Administration Roles
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.
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.
Selected Publications
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Elastic contact of a stiff thin layer and a half-space. Zeitschrift für angewandte Mathematik und Physik ZAMP. doi> full text>2019.
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Approximate analysis of surface wave--structure interaction. Journal of Mechanics of Materials and Structures, vol. 13(3), 297-309. doi>2018.
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Composite dynamic models for periodically heterogeneous media. Mathematics and Mechanics of Solids. doi> link> full text>2018.
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Composite wave models for elastic plates. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 474(2214), Article ARTN 20180103. link> doi> full text>2018.
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An asymptotic higher-order theory for rectangular beams. Proc Math Phys Eng Sci, vol. 474(2214), 20180001. link> doi> full text>2018.
Full Publications List show
Journal Articles
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Elastic contact of a stiff thin layer and a half-space. Zeitschrift für angewandte Mathematik und Physik ZAMP. doi> full text>2019.
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Approximate analysis of surface wave--structure interaction. Journal of Mechanics of Materials and Structures, vol. 13(3), 297-309. doi>2018.
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Composite dynamic models for periodically heterogeneous media. Mathematics and Mechanics of Solids. doi> link> full text>2018.
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Composite wave models for elastic plates. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 474(2214), Article ARTN 20180103. link> doi> full text>2018.
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An asymptotic higher-order theory for rectangular beams. Proc Math Phys Eng Sci, vol. 474(2214), 20180001. link> doi> full text>2018.
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Justification and refinement of Winkler-Fuss hypothesis. ZAMP. full text>
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The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 69, Article 1. doi>2017.
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Dispersion of elastic waves in laminated glass. X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), vol. 199, 1489-1494. link> doi> full text>2017.
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On surface wave fields arising in soil-structure interaction problems. Procedia Engineering, vol. 199, 2366-2371. doi> link> full text>2017.
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A robust approach for analysing dispersion of elastic waves in an orthotropic cylindrical shell. Journal of Sound and Vibration, vol. 401, 23-35. doi> link> full text>2017.
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A non-local asymptotic theory for thin elastic plates. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 473(2203), Article ARTN 20170249. link> doi> full text>2017.
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Asymptotic Theory for Rayleigh and Rayleigh-Type Waves. Advances in Applied Mechanics. doi> full text>2017.
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Dispersion of elastic waves in a strongly inhomogeneous three-layered plate. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 113, 169-179. link> doi> full text>2017.
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Edge bending wave on a thin elastic plate resting on a Winkler foundation. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 472(2190), Article ARTN 20160178. link> doi> full text>2016.
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Vibrations of an elastic cylindrical shell near the lowest cut-off frequency. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. doi> full text>2016.
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Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. JOURNAL OF SOUND AND VIBRATION, vol. 366, 264-276. link> doi> full text>2016.
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Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies. Mathematical Methods in the Applied Sciences. doi> full text>2016.
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Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Proc Math Phys Eng Sci, vol. 472(2186), 20150800. link> doi> full text>2016.
- 2015.
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Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 76, 223-232. link> doi> full text>2015.
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The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Journal of Vibration and Control. doi> full text>2015.
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Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar. Mechanics of Time-Dependent Materials, vol. 19(2), 135-151. doi> full text>2015.
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The edge wave on an elastically supported Kirchhoff plate. Journal of the Acoustical Society of America, vol. 136(4), 1487-1490. link> doi> full text>2014.
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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> full text>
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Long-wave asymptotic theories: The connection between functionally graded waveguides and periodic media. Wave Motion, vol. 51(4), 581-588. doi> full text>
- 2013.
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The Rayleigh wave field in mixed problems for a half-plane. IMA Journal of Applied Mathematics, 1078-1086. doi>2012.
- 2012.
- 2012.
- 2012.
- 2012.
- 2011.
- 2011.
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On a class of three-phase checkerboards with unusual effective properties. COMPTES RENDUS MECANIQUE, vol. 339(6), 411-417. link> doi> full text>2011.
- 2011.
- 2011.
- 2010.
- 2010.
- 2010.
- 2010.
- 2010.
- 2009.
- 2009.
- 2008.
- 2008.
- 2007.
- 2006.
- 2006.
- 2006.
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An asymptotic analysis of initial-value problems for thin elastic plates. Proceedings of the Royal Society, Series A, vol. 462(2073), 2541-2561. doi>2006.
- 2006.
- 2006.
- 2006.
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Localized vibration in elastic structures with slowly varying thickness. Quarterly Journal of Mechanics and Applied Mathematics, vol. 58(4), 645-664. doi>2005.
- 2005.
- 2005.
- 2005.
- 2005.
- 2005.
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Saint-venant's principle in the case of the low-frequency oscillations of a half-strip. Journal of Applied Mathematics and Mechanics, vol. 69(3), 405-416.2005.
- 2004.
- 2004.
- 2004.
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Asymptotic model of Rayleigh waves in the far-field zone in an elastic half-plane. Doklady Physics, vol. 49(4), 234-236. doi>2004.
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Dispersion of waves in a plane acoustic layer with flexible elastic walls. Acoustical Physics, vol. 50(6), 694-698. doi>2004.
- 2003.
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Matching of asymptotic models in scattering of a plane acoustic wave by an elastic cylindrical shell. Journal of Sound and Vibration, vol. 264(3), 639-655.2003.
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End to strokes. World of Science, vol. 12, 78-82.2003.
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Resonances of the Rayleigh waves in an elastic semi-infinite strip. Acoustical Physics, vol. 49(1), 31-35. doi>2003.
- 2002.
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An Asymptotically Consistent Model for Long-Wave High-Frequency Motion in a Pre-Stressed Elastic Plate. Mathematics and Mechanics of Solids, vol. 7(6), 581-606. doi>2002.
- 2002.
- 2002.
- 2002.
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Approximate description of resonances of whispering gallery type waves in the problem of acoustic wave scattering by elastic circular cylinders and spheres. Mechanics of Solids, vol. 37(4), 147-158.2002.
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On the approximation of plane layer type in the problem of acoustic wave scattering by a cylindrical shell. Mathematics and Mechanics of Solids, vol. 37(3), 153-159.2002.
- 2001.
- 2000.
- 2000.
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Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Mathematics and Mechanics of Solids. full text>
Chapters
- 2017.
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Lowest Vibration Modes of Strongly Inhomogeneous Elastic Structures. In Mechanics for Materials and Technologies. Springer International Publishing.
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Nonlinear elastic waves in a fibre-reinforced composite with an imperfect interface. In Dynamical Systems. Control and Stability. ARSA Druk i Reklama. full text>2015.
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Explicit models for surface, interfacial and edge waves in elastic solids. In Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism. Springer Science & Business Media. full text>2013.
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On rational boundary conditions for higher-order long-wave models. In IUTAM Symposium on Scaling in Solid Mechanics. Borodich FM (Ed.). Springer.2010.
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Asymptotic analysis of higher-order peripheral waves in acoustic wave scattering by elastic cylinders and spheres. In IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Movchan AB (Ed.). (vol. 113). Springer.2004.
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The two-term interior asymptotic expansion in the case of low-frequency longitudinal vibrations of an elongated elastic rectangle. In IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Movchan AB (Ed.). (vol. 113). Springer.2004.
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Universal dynamic theory of shells. (vol. 16). link>2004.
Other
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An edge moving load on an orthotropic plate resting on a Winkler foundation. Procedia Engineering (vol. 199, pp. 2579-2584). Elsevier. doi> full text>2017.
- 2009.
MAT-30011: Waves
MAT-30028: Perturbation Methods
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.
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.