Julius Kaplunov

Title: Professor
Phone: 01782 733526
Email: j.kaplunov@keele.ac.uk
Location: MacKay Building Room 2.32
Role:
Contacting me:
Julius Kaplunov

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

  • 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, vol. 401, 23-35. doi> link>
  • Kaplunov J, Prikazchikov DA, Rogerson GA. 2016. 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>
  • Kaplunov J, Manevitch LI, 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. doi>
  • Kaplunov J, Prikazchikov D, Sergushova O. 2016. Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. JOURNAL OF SOUND AND VIBRATION, vol. 366, 264-276. link> doi>
  • Kaplunov J and Nobili A. 2016. Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies. Mathematical Methods in the Applied Sciences. doi>

Full Publications List show

Journal Articles

  • 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, vol. 401, 23-35. doi> link>
  • Kaplunov J, Prikazchikov DA, Rogerson GA. 2016. 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>
  • Kaplunov J, Manevitch LI, 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. doi>
  • Kaplunov J, Prikazchikov D, Sergushova O. 2016. Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. JOURNAL OF SOUND AND VIBRATION, vol. 366, 264-276. link> doi>
  • Kaplunov J and Nobili A. 2016. Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies. Mathematical Methods in the Applied Sciences. doi>
  • Chebakov R, Kaplunov J, Rogerson GA. 2016. 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>
  • Elishakoff I, Kaplunov J, Nolde E. 2015. Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia. APPLIED MECHANICS REVIEWS, vol. 67(6), Article ARTN 060802. link> doi>
  • Danishevs'kyy VV, Kaplunov JD, Rogerson GA. 2015. 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>
  • 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. doi>
  • Kaplunov J, Shestakova A, Aleynikov I, Hopkins B, Talonov A. 2015. Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar. Mechanics of Time-Dependent Materials, vol. 19(2), 135-151. doi>
  • Kaplunov J, Prikazchikov DA, Rogerson GA, Lashab MI. 2014. The edge wave on an elastically supported Kirchhoff plate. Journal of the Acoustical Society of America, vol. 136(4), 1487-1490. link> doi>
  • Erbas B, Kaplunov J, Prikazchikov D, Sahin O. 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>
  • Craster RV, Joseph LM, Kaplunov J. Long-wave asymptotic theories: The connection between functionally graded waveguides and periodic media. Wave Motion, vol. 51(4), 581-588. doi>
  • Kaplunov J, Prikazchikov DA, Erbas B, Sahin O. 2013. On a 3D moving load problem for an elastic half space. WAVE MOTION, vol. 50(8), 1229-1238. link> doi>
  • Erbas, B, Kaplunov, J, Prikazchikov D. 2012. The Rayleigh wave field in mixed problems for a half-plane. IMA Journal of Applied Mathematics, 1078-1086. doi>
  • Craster RV, Kaplunov J, Nolde E, Guenneau S. 2012. Bloch dispersion and high frequency homogenization for separable doubly-periodic structures. WAVE MOTION, vol. 49(2), 333-346. link> doi>
  • Fu YB and Kaplunov J. 2012. Analysis of localized edge vibrations of cylindrical shells using the Stroh formalism. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 17(1), 59-66. link> doi>
  • Lawrie JB and Kaplunov J. 2012. Edge waves and resonance on elastic structures: An overview. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 17(1), 4-16. link> doi>
  • Lawrie JB and Kaplunov J. 2012. Special Issue on Dynamic Edge Phenomena on Elastic Structures Preface. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 17(1), 3. link> doi>
  • Erbas B, Yusufoglu E, Kaplunov J. 2011. A plane contact problem for an elastic orthotropic strip. JOURNAL OF ENGINEERING MATHEMATICS, vol. 70(4), 399-409. link> doi>
  • Craster RV, Kaplunov J, Nolde E, Guenneau S. 2011. High-frequency homogenization for checkerboard structures: defect modes, ultrarefraction, and all-angle negative refraction. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, vol. 28(6), 1032-1040. link> doi>
  • Craster RV, Guenneau S, Kaplunov J, Nolde E. 2011. On a class of three-phase checkerboards with unusual effective properties. COMPTES RENDUS MECANIQUE, vol. 339(6), 411-417. link> doi>
  • Its A, Its E, Kaplunov J. 2011. Riemann-Hilbert Approach to the Elastodynamic Equation: Part I. LETTERS IN MATHEMATICAL PHYSICS, vol. 96(1-3), 53-83. link> doi>
  • Nolde E, Craster RV, Kaplunov J. 2011. High frequency homogenization for structural mechanics. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, vol. 59(3), 651-671. link> doi>
  • Kaplunov J, Nolde E, Prikazchikov DA. 2010. A revisit to the moving load problem using an asymptotic model for the Rayleigh wave. WAVE MOTION, vol. 47(7), 440-451. link> doi>
  • Craster RV, Kaplunov J, Postnova J. 2010. High-Frequency Asymptotics, Homogenisation and Localisation for Lattices. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 63(4), 497-519. link> doi>
  • Dai H-H, Kaplunov J, Prikazchikov DA. 2010. A long-wave model for the surface elastic wave in a coated half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 466(2122), 3097-3116. link> doi>
  • Craster RV, Kaplunov J, Pichugin AV. 2010. High-frequency homogenization for periodic media. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 466(2120), 2341-2362. link> doi>
  • Kaplunov J, Voloshin V, Rawlins AD. 2010. Uniform Asymptotic Behaviour of Integrals of Bessel Functions with a Large Parameter in the Argument. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 63(1), 57-72. link> doi>
  • Shuvalov AL, Kaplunov J, Nolde E. 2009. Low-Frequency Cutoffs for the Dispersion Spectrum of Elastic Waves in a Thin-Walled Anisotropic Cylinder. JOURNAL OF ELASTICITY, vol. 95(1-2), 31-42. link> doi>
  • Kaplunov J, Pichugin AV, Zernov V. 2009. Extensional edge modes in elastic plates and shells. J Acoust Soc Am, vol. 125(2), 621-623. link> doi>
  • Kaplunov J and Nolde E. 2008. An example of a quasi-trapped mode in a weakly non-linear elastic waveguide. COMPTES RENDUS MECANIQUE, vol. 336(7), 553-558. link> doi>
  • Zernov V and Kaplunov J. 2008. Three-dimensional edge waves in plates. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 464(2090), 301-318. link> doi>
  • Every AG, Kaplunov JD, Pichugin AV, Rogerson GA. 2007. Wave arrival singularities at cuspidal points in the acoustic wave surfaces of anisotropic solids and their unfolding under weak spatial dispersion. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 463(2087), 2983-3000. link> doi>
  • Every AG, Kaplunov JD, Rogerson GA. 2006. Unfolding of wave-arrival singularities in the elastodynamic Green's functions of anisotropic solids under weak spatial dispersion. PHYSICAL REVIEW B, vol. 74(18), Article ARTN 184307. link> doi>
  • Poncelet O, Shuvalov AL, Kaplunov J. 2006. Approximation of the flexural velocity branch in plates. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 43(21), 6329-6346. link> doi>
  • Kaplunov J, Zakharov A, Prikazchikov D. 2006. Explicit models for elastic and piezoelastic surface waves. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 71(5), 768-782. link> doi>
  • ROGERSON GA, Kaplunov JD, Nolde EV. 2006. An asymptotic analysis of initial-value problems for thin elastic plates. Proceedings of the Royal Society, Series A, vol. 462(2073), 2541-2561. doi>
  • Kaplunov J and Krynkin A. 2006. Resonance vibrations of an elastic interfacial layer. JOURNAL OF SOUND AND VIBRATION, vol. 294(4-5), 663-677. link> doi>
  • Zernov V, Pichugin AV, Kaplunov J. 2006. Eigenvalue of a semi-infinite elastic strip. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 462(2068), 1255-1270. link> doi>
  • Kaplunov JD, Pichugin AV, Rogerson GA. 2006. On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 71(2), 171-185. link> doi>
  • ROGERSON GA, Kaplunov JD, Tovstik P. 2005. Localized vibration in elastic structures with slowly varying thickness. Quarterly Journal of Mechanics and Applied Mathematics, vol. 58(4), 645-664. doi>
  • Kaplunov J, Prikazchikov DA, Rogerson GA. 2005. On three-dimensional edge waves in semi-infinite isotropic plates subject to mixed face boundary conditions. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, vol. 118(5), 2975-2983. link> doi>
  • Kaplunov JD and Pichugin A. 2005. A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, vol. 53(5), 1079-1098. link> doi>
  • Babenkova E and Kaplunov J. 2005. Radiation conditions for a semi-infinite elastic strip. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 461(2056), 1163-1179. link> doi>
  • Kaplunov JD, Nolde EV, Shorr BF. 2005. A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates. JOURNAL OF SOUND AND VIBRATION, vol. 281(3-5), 905-919. link> doi>
  • Perel MV, Kaplunov JD, Rogerson GA. 2005. An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides. WAVE MOTION, vol. 41(2), 95-108. link> doi>
  • Babenkova, Ye.V, Kaplunov YD, Ustinov, Yu.A. 2005. 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.
  • Babenkova E and Kaplunov J. 2004. Low-frequency decay conditions for a semi-infinite elastic strip. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 460(2048), 2153-2169. link> doi>
  • Kaplunov J, Kossovich L, Zakharov A. 2004. An explicit asymptotic model for the Bleustein-Gulyaev wave. COMPTES RENDUS MECANIQUE, vol. 332(7), 487-492. link> doi>
  • Kaplunov JD, Prikazchikov DA, Rogerson GA. 2004. Edge vibration of a pre-stressed semi-infinite strip with tractionfree edge and mixed face boundary conditions. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 55(4), 701-719. link> doi>
  • Kaplunov J and Kossovich, L.Yu. 2004. Asymptotic model of Rayleigh waves in the far-field zone in an elastic half-plane. Doklady Physics, vol. 49(4), 234-236. doi>
  • Kaplunov J, Kirillova, IV, Postnova, Yu.A. 2004. Dispersion of waves in a plane acoustic layer with flexible elastic walls. Acoustical Physics, vol. 50(6), 694-698. doi>
  • Kaplunov JD, Kovalev VA, Wilde MV. 2003. 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. link> doi>
  • Kaplunov J, Kovalev, VA, Wilde, MV. 2003. 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.
  • Bokeria, LA, Kaplunov J, Lavrentiev, AV. 2003. End to strokes. World of Science, vol. 12, 78-82.
  • Wilde, MV and Kaplunov J. 2003. Resonances of the Rayleigh waves in an elastic semi-infinite strip. Acoustical Physics, vol. 49(1), 31-35. doi>
  • Kaplunov JD, Nolde EV, Rogerson GA. 2002. 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. link> doi>
  • Kaplunov J, Nolde, EV, Rogerson, GA. 2002. 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>
  • Kaplunov JD and Nolde EV. 2002. Long-wave vibrations of a nearly incompressible isotropic plate with fixed faces. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 55, 345-356. link> doi>
  • Kaplunov JD, Nolde EV, Rogerson GA. 2002. Short wave motion in a pre-stressed incompressible elastic plate. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 67(4), 383-399. link> doi>
  • Kaplunov JD and Wilde MV. 2002. Free interfacial vibrations in cylindrical shells. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, vol. 111(6), 2692-2704. link> doi>
  • Kaplunov J, Kovalev, VA, Wilde, MV. 2002. 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.
  • Wilde, MV, Kaplunov J, Kovalev, VA. 2002. 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.
  • Emri I, Kaplunov JD, Nolde EV. 2001. Analysis of transient waves in thin structures utilizing matched asymptotic expansions. ACTA MECHANICA, vol. 149(1-4), 55-68. link> doi>
  • Kaplunov JD, Nolde EV, Rogerson GA. 2000. A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 456(2003), 2589-2610. link>
  • Kaplunov JD, Kossovich LY, Rogerson GA. 2000. Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 53, 323-341. link> doi>

Chapters

  • 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. Springer Science & Business Media.
  • Kaplunov J and Pichugin, AV. 2010. On rational boundary conditions for higher-order long-wave models. In IUTAM Symposium on Scaling in Solid Mechanics. Borodich FM (Ed.). Springer.
  • Kaplunov J, Kovalev, V, Wilde, M. 2004. 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.
  • Kaplunov J and Babenkova, E. 2004. 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.
  • Kaplunov J. 2004. Universal dynamic theory of shells. (vol. 16). link>
  • Kaplunov J and Prikazchikov DA. Asymptotic Theory for Rayleigh and Rayleigh-Type Waves. Elsevier. doi> link>

Other

  • Kaplunov JD and Pichugin AV. 2009. On Rational Boundary Conditions for Higher-Order Long-Wave Models. IUTAM SYMPOSIUM ON SCALING IN SOLID MECHANICS (vol. 10, pp. 81-+). link> doi>

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.