Biography
I graduated from Saratov State University, Russia, in 2000 and was awarded a PhD in Theoretical Solid Mechanics from the University of Salford in 2004. After my PhD I spent two years as a postdoc at the Russian State Technical University of Railways (Moscow), working on train dynamics, and was then appointed a Lecturer in Applied Mathematics within the same University. In 2007 I moved to the famous Bauman Moscow State Technical University, where I spent six years before coming to Keele in 2013.
Research and scholarship
My research interests are mainly focussed around vibrations and wave propagation in continuum mechanics; more specifically I am interested in surface, interfacial and edge waves in elastic solids. Another recent aspect of my research is mechanics of strongly inhomogeneous solids.
Teaching
- MAT-20004: Complex Variable I & Vector Calculus
- MAT-20008: Differential Equations
- MAT-40005: Linear Elasticity
Selected Publications
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A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 85(1), 113-131. link> doi> full text>2020.
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Reduced model for the surface dynamics of a generally anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 476(2234), Article ARTN 20190590. link> doi> full text>2020.
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Rayleigh-type waves on a coated elastic half-space with a clamped surface. Philos Trans A Math Phys Eng Sci, vol. 377(2156), 20190111. link> doi> full text>2019.
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The lowest vibration spectra of multi-component structures with contrast material properties. JOURNAL OF SOUND AND VIBRATION, vol. 445, 132-147. link> doi> full text>2019.
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Elastic contact of a stiff thin layer and a half-space. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 70(1), Article ARTN 22. link> doi> full text>2019.
Full Publications List show
Journal Articles
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A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 85(1), 113-131. link> doi> full text>2020.
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Reduced model for the surface dynamics of a generally anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 476(2234), Article ARTN 20190590. link> doi> full text>2020.
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Rayleigh-type waves on a coated elastic half-space with a clamped surface. Philos Trans A Math Phys Eng Sci, vol. 377(2156), 20190111. link> doi> full text>2019.
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The lowest vibration spectra of multi-component structures with contrast material properties. JOURNAL OF SOUND AND VIBRATION, vol. 445, 132-147. link> doi> full text>2019.
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Elastic contact of a stiff thin layer and a half-space. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 70(1), Article ARTN 22. link> doi> full text>2019.
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ASYMPTOTIC STRATEGY FOR MATCHING HOMOGENIZED STRUCTURES. CONDUCTIVITY PROBLEM. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 71(4), 519-535. link> doi> full text>2018.
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Adhesive contact problems for a thin elastic layer: Asymptotic analysis and the JKR theory. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 24(5), 1405-1424. link> doi> full text>2019.
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Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space. MECHANICS RESEARCH COMMUNICATIONS, vol. 92, 49-53. link> doi> full text>2018.
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Free vibrations of nonlocally elastic rods. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 24(5), 1279-1293. link> doi> full text>2019.
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Justification and refinement of Winkler-Fuss hypothesis. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 69(3), Article ARTN 80. link> doi> full text>2018.
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Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, vol. 70, 86-94. link> doi> full text>2018.
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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. X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), vol. 199, 2366-2371. 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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Edge bending waves on an orthotropic elastic plate resting on the Winkler-Fuss foundation. Proceedings of National Academy of Sciences of Armenia. 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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Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution. Mathematics and Mechanics of Solids. doi> link> full text>2016.
- 2015.
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Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 69(1), 67-81. link> doi> full text>2016.
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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, vol. 22(1), 89-100. link> doi> full text>2017.
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Rayleigh waves of arbitrary profile in anisotropic media. MECHANICS RESEARCH COMMUNICATIONS, vol. 50, 83-86. link> doi> full text>2013.
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On a 3D moving load problem for an elastic half space. Wave Motion, 1229-1238. doi>2012.
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The Rayleigh wave field in mixed problems for a half-plane. IMA Journal of Applied Mathematics, 1078-1086. doi>2012.
- 2010.
- 2010.
- 2008.
- 2007.
- 2006.
- 2005.
- 2004.
- 2004.
- 2003.
Chapters
- 2017.
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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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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.
Other
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An edge moving load on an orthotropic plate resting on a Winkler foundation. X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017) (vol. 199, pp. 2579-2584). link> doi> full text>2017.
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On steady-state moving load problems for an elastic half-space. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DAYS ON DIFFRACTION 2016 (DD) (pp. 84-88). link>2016.
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On the near-resonant regimes of the moving load in case of a coated elastic half-space. EURODYN 2014: IX INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (pp. 669-673). link>2014.
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Multi-parametric dynamic analysis of lightweight elastic laminates. IOP Conference Series: Materials Science and Engineering: Vol 683. IOP Publishing. doi> full text>
Research themes
