Selected publications


E. Glushkov, N. Glushkova, and A. Eremin, Efficient mathematical representations for computing the forced wave dynamics of anisotropic laminated composites // CEAS Aeronautical Journal, published online 14 Feb. 2013, (manuscript pdf 0.3 Mb)

E. V. Glushkov, N. V. Glushkova, and O. A. Godin, The Effect of Anomalous Transparency of the Water -- Air Interface for a Volumetric Sound Source // Acoustical Physics, 2013, Vol. 59, No. 1, pp. 818,



E. Glushkov, N. Glushkova, M.V. Golub, J. Moll, C.-P. Fritzen, Wave energy trapping and localization in a plate with a delamination // Smart Mater. Struct. 21 (2012) 125001 (12 pp).

E. Glushkov, N. Glushkova, and C. Zhang, Surface and pseudo-surface acoustic waves piezoelectically excited in diamond-based structures // J. Appl. Phys. 112, 064911 (2012); (10 pages).

E. Glushkov, N. Glushkova, A. Eremin, R. Lammering, and M. Neumann, Frequency dependent directivity of guided waves excited by circular transducers in anisotropic composite plates // J. Acoust. Soc. Am. V. 132(2), pp. EL119-EL124 (2012); (6 pages) (Free Download) (pdf 1.03 Mb)

E. V. Glushkov, N. V. Glushkova, S. I. Fomenko, and C. Zhang, Surface waves in materials with functionally gradient coatings // Acoustical Physics, 2012, Vol. 58, No. 3, pp. 339353., (pdf 1.1 Mb)

J. Moll, M.V. Golub, E. Glushkov, N. Glushkova, C.-P. Fritzen, Non-axisymmetric Lamb wave excitation by piezoelectric wafer active sensors // Sensors and Actuators: A. Physical 174 (2012) 173-180.



E.V. Glushkov, N.V. Glushkova, M.V. Golub, and A.A. Eremin, Resonance blocking and passing effects in two-dimensional elastic waveguides with obstacles // J. Acoust. Soc. Am., 2011, 130 (1), pp. 113-121., ( ASA, This article may be downloaded for personal use only, see details, pdf 3.4 Mb )

E. Glushkov, N. Glushkova, and A. Eremin, Forced wave propagation and energy distribution in anisotropic laminate composites // J. Acoust. Soc. Am. 129 (5), 2011, pp. 2923-2934., ( ASA, This article may be downloaded for personal use only, see details, pdf 2.3 Mb ).

E. V. Glushkova, N. V. Glushkova, and J. Wauer, Formation of frequency pass and gap bands in an elastic waveguide with a system of obstacles // Acoustical Physics, 2011. Vol. 57. No. 3. P. 281291.

E. V. Glushkov, N. V. Glushkova, and S. I. Fomenko, Influence of porosity on characteristics of Rayleigh type waves in multilayered half-space // Acoustical Physics, 2011, Vol. 57, No. 2, pp. 230240. (pdf 0.4 Mb)

O.V. Kvasha A. Bostrom, N. V. Glushkova and E. V. Glushkov, The propagation of in-plane P-SV waves in a layered elastic plate with periodic interface cracks: exact versus spring boundary conditions // Waves in Random and Complex Media, 2011. V. 21(3). P. 515-528.

Ye.V. Glushkov, N.V. Glushkova, W. Seemann, and O.V. Kvasha, The excitation of waves by piezoelectric patch actuators arranged symmetrically on both surfaces of an elastic layer // Journal of Applied Mathematics and Mechanics, 2011, Vol. 75(1), pp 5664. . (pdf 0.4 Mb)

Glushkov, E., Glushkova, N., and Wauer, J., Wave propagation in an elastically supported string with point-wise defects: gap-band and pass-band effects. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ZAMM - Z. Angew. Math. Mech. V. 91(1), p. 4--22 (2011). doi: 10.1002/zamm.201000039 (pdf 1.1 Mb)

E.V. Glushkov, N.V. Glushkova, A.A. Eremin, R. Lammering, and M. Neumann Lamb wave excitation and propagation in elastic plates with surface obstacles: proper choice of central frequencies, Smart Mater. Struct. 20 (2011) 015020 (11pp). (pdf 713 K)



E. Glushkov, N. Glushkova, O. Kvasha, D. Kern, and W. Seemann, Guided wave generation and sensing in an elastic beam using MFC piezoelectric elements: theory and experiment // Journal of Intelligent Material Systems and Structures, 2010, vol. 21, no. 16, 1617-1625. (pdf 884 K)

Ye.V. Glushkov, N.V. Glushkova, and A.S. Krivonos, The excitation and propagation of elastic waves in multilayered anisotropic composites // Journal of Applied Mathematics and Mechanics. 2010. V. 74. P. 297-305. (pdf 0.4 Mb)

E.V. Glushkov, N.V. Glushkova, O.V. Kvasha, and R. Lammering, Selective Lamb mode excitation by piezoelectric coaxial ring actuators // Smart Mater. Struct. 2010. V. 19. No. 3. . (pdf 261 K)



Ye.V. Glushkov, N.V. Glushkova, A.A. Yeremin, and V.V. Mikhaskiv, The layered element method in the dynamic theory of elasticity // Journal of Applied Mathematics and Mechanics. 2009. V. 73. pp. 449456. (pdf 0.5 Mb)

O. Axelsson, E. Glushkov, N. Glushkova, The local Green's function method in singularly perturbed convection-diffusion problems // Mathematics of Computation. 2009. V. 78. No 265. P. 153-170

E. V. Glushkov, N. V. Glushkova, M. V. Golub and Ch. Zhang, Resonance blocking of traveling waves by a system of cracks in an elastic layer // Acoustical Physics, 2009, Vol. 55, No. 1, p. 816.



Ye.V. Glushkov, N.V. Glushkova, M.V. Golub, Diffraction of elastic waves by an inclined crack in a layer // Journal of Applied Mathematics and Mechanics, 71 (2007) 643654.

E. V. Glushkov, N. V. Glushkova, C. S. Chen, Semi Analytical Solution to Heat Transfer Problems Using Fourier Transform Technique, Radial Basis Functions, and the Method of Fundamental Solutions // Numerical Heat Transfer, Part B: Fundamentals, Vol. 52, Issue 5, 2007, pages 409 427. (DOI: 10.1080/10407790701443859 (pdf 508 K)

Evgeny Glushkov, Natalia Glushkova, Oleg Kvasha and Wolfgang Seemann, Integral equation based modeling of the interaction between piezoelectric patch actuators and an elastic substrate // Smart Mater. Struct. 16 (2007) 650664. (doi:10.1088/0964-1726/16/3/012 (pdf 881 K)

W. Seemann, A. Ekhlakov, E. Glushkov, N. Glushkova, O. Kvasha, The modeling of piezoelectrically excited waves in beams and layered substructures // Journal of Sound and Vibration, 301(3-5), (3 April) 2007, 1007-1022. (doi:10.1016/j.jsv.2006.10.037)



E. Glushkov, N. Glushkova, M. Golub, A. Boström, Natural resonance frequencies, wave blocking, and energy localization in an elastic half-space and waveguide with a crack. J. Acoust. Soc. Am., 2006, 119(6), pp. 3589-3598. ( doi: 10.1121/1.2195269 (pdf 3264 K)

E. V. Glushkov, N. V. Glushkova, and M. V. Golub, Blocking of traveling waves and energy localization due to the elastodynamic diffraction by a crack. Acoustical Physics, 2006, 52(3), pp. 259-269. (

E. V. Glushkov, N. V. Glushkova, W. Seemann and O. V. Kvasha, Elastic wave excitation in a layer by piezoceramic patch actuators. Acoustical Physics, 2006, 52(4), 398-407. (

E.Glushkov, N.Glushkova, A.Ekhlakov, E.Shapar, An analytically based computer model for surface measurements in ultrasonic crack detection. Wave Motion, 2006, 43(6), 458-473. (doi:10.1016/j.wavemoti.2006.03.002 ) (pdf 685 K)



E. V. Glushkov, N. V. Glushkova, O. V. Kvasha, and W. Seemann, Selective Mode Excitation in Elastic Waveguides by Piezoceramic Actuators. AIP Conference Proceedings 834, 2nd Conference on Mathematical Modeling of Wave Phenomena, Växjö, Sweden, 14-19 August 2005, eds. B. Nilsson, L. Fishman, pp. 152-159.

E. V. Glushkov, N. V. Glushkova, and M. Golub, Real Natural Frequencies and Resonance Wave Localization in an Elastic Waveguide with a Horizontal Crack. AIP Conference Proceedings 834, 2nd Conference on Mathematical Modeling of Wave Phenomena, Växjö, Sweden, 14-19 August 2005, eds. B. Nilsson, L. Fishman, pp. 160-166.

E. V. Glushkov, N. V. Glushkova, and D. V. Timofeev, Solution of Singularly Perturbed ConvectionDiffusion Problems by the Local Greens Function Method, Computational Mathematics and Mathematical Physics, Vol. 45, No. 3, 2005, pp. 444453. (pdf 0.32 Mb)

Owe Axelsson, Evgeny Glushkov, and Natalia Glushkova, Petrov-Galerkin method with local Green's functions in singularly perturbed convection-diffusion problems // International Journal of Numerical Analysis and Modeling, 2005, vol. 2, no 2, pp. 127 - 145. (pdf 0.8 Mb)



E.V.Glushkov, N.V.Glushkova and E.M.Shapar, On the Rayleigh Wave Blocking by a Subsurface Crack // Doklady Physics, Vol. 49, No. 10, 2004, pp. 608613.

E.V.Glushkov, N.V.Glushkova and A.V.Ekhlakov, Wave propagation and crack detection in layered structures, In: Proceedings of NATO-Workshop "Surface Waves in Anisotropic and Laminated Bodies and Defects Detection", Institute for Problems in Mechanics, Moscow, 7-9 February 2002 /edited by R.V.Goldstein and G.A.Maugin, Kluwer Academic Publishers, The Netherlands, 2004, p. 301-315.



O.Axelsson, E.V.Glushkov and N.V.Glushkova, The Local Green's Function Method for Singularly Perturbed Convection-Diffusion Problems // Doklady Mathematics. 2003. V. 67, No. 1, pp. 98-102.



.., .., .. C , // . . . . 2002. 2. . 77-85

(S.A.Barsukov, Ye.V.Glushkov, N.V.Glushkova, Stress singularity at front corner points of an interfacial crack between two media. Izvestia RAN. Mekh. Tverdogo Tela. 2002. 2. P. 77-85 (in Russian)).

Ye.V.Glushkov, N.V.Glushkova, A.V.Ekhlakov, Mathematical model of ultrasonic detection for three-dimensional interface cracks. J. Appl. Maths Mechs, 2002, Vol. 66, No. 1.



E.V.Glushkov and N.V.Glushkova On the Efficient Implementation of the Integral Equation Method in Elastodynamics. Journal of Computational Acoustics, 2001. Vol. 9, No. 3. P. 889-898.



N.V.Glushkova, E.V.Glushkov, R.Hoff, Stress Singularity in Polyhedral Corner Points in the Case of Elastic Different-Modulus Joints. Doklady Physics, 2000. Vol. 45. No 1. P. 37-41.

E.V.Glushkov, N.V.Glushkova, D.Munz, and Y.Y.Yang, Analytical solution for the stresses near the corner points of dissimilar material joints subjected to thermal loading, International Journal of Fracture, 2000, 106, pp. 321-339.


E.Glushkov, N.Glushkova, and R.Hoff On Developing Singular Elements for Polyhedral Elastic Joints. Boundary Elements XXI; International Series on Advances in Boundary Elements, Volume 6; Editors: C.A. Brebbia, H. Power; Wessex Institute of Technology, UK, 1999,  pp. 333-342.

E.Glushkov, N.Glushkova, and Je.Kirillowa Semi-analytical methods for solving integral equations of elastodynamics. Computational Methods in Contact Mechanics IV. Editors:  L. Gaul, University of Stuttgart, Germany and C.A. Brebbia, Wessex Institute of Technology, UK, 1999, pp. 241-250.

E.Glushkov, N.Glushkova, and O.Lapina, 3D Elastic stress singularity at polyhedral corner points. Int. Journal of Solids and Structures, 1999, Vol. 36, pp. 1105-1128.


E.V.Glushkov, N.V.Glushkova, and O.N.Lapina, Singularity exponents of elastic stresses at the point where the crack reaches the surface. Mechanics of Solids. 1998. vol. 33, No 5. P. 117-122.

Ye.V.Glushkov and N.V.Glushkova, Resonant frequencies of the scattering of elastic waves by three-dimensional cracks. J. Appl. Maths Mechs, 1998, Vol. 62, No 5, pp. 803-806.

Ye.V.Glushkov and Ye.V.Kirillova, A dynamic mixed problem for a packet of elastic layers. J. Appl. Maths Mechs, 1998, Vol. 62, No 3, pp. 419-425.

E.V.Glushkov, N.V.Glushkova and O.N.Lapina, Diffraction of normal modes in composite and stepped elastic waveguides. J. Appl. Maths Mechs, 1998, Vol. 62, No 2, pp. 275-280.

N.V.Glushkova, An asymptotic representation of thermoelastic stresses of dissimilar materials at the edges of the joints // Mechanics of Solids, 1998, vol. 33, No 2, P. 58-65.


E.V.Glushkov and N.V.Glushkova, Blocking property of energy vortices in elastic waveguides. J. Acoust. Soc. Am., 102(3), 1997, 1356-1360.


Ye.V.Glushkov and N.V.Glushkova, Diffraction of elastic waves by three-dimensional cracks of arbitrary shape in a plane. J. Appl. Maths Mechs, 1996, Vol. 60, No 2, pp. 277-283.


E.V.Glushkov, N.V.Glushkova, and E.V.Kirillova, Normal mode diffraction in elastic layered waveguides; resonances and energy vortices. In: "Proceedings of the Third International Conference on Mathematical and Numerical Aspects of Wave Propagation held in Mandelieu-La-Napoule, France, April 24-28, 1995/ edited by Gary Cohen", SIAM, Philadelphia, 1995, 604-612.


E.V.Glushkov, N.V.Glushkova and E.M.Timanin, Determination of the impedance and waveguide properties of biological materials. Acoust. Phys. 39(6), Nov.-Dec. 1993, 551-553.


Ye.V.Glushkov, N.V.Glushkova, and Ye.V.Kirillova, The dynamic contact problem for a circular punch adhering to an elastic layer. J. Appl. Maths. Mechs., 1992, v. 56, No 5, pp. 675-679.

E.V.Glushkov and N.V.Glushkova, On stress singularities at a tip of 3-dimensional wedge-shaped crack. Izvestiya Akademii Nauk SSSR. Mekhanika Tverdogo Tela, 1992, No 4, 82-86 (in Russian).

V.A.Babeshko, E.V.Glushkov, N.V.Glushkova, and E.V.Kirillova, Energy localizaion under high-frequency resonance conditions. Sov. Phys. Dokl. 37(8), August 1992, 443-444.

V.A.Babeshko, E.V.Glushkov and N.V.Glushkova, Energy vortices and backward fluxes in elastic waveguides. Wave Motion, 16 (1992), 183-192.


V.V.Buzhan, E.V.Glushkov and N.V.Glushkova, Balance of power of internal sources of harmonic vibrations in an elastic half-space. Sov. Phys. Acoust., 1991, 37(5), 457-460.

V.A.Babeshko, E.V.Glushkov, N.V.Glushkova and O.N.Lapina, Anomalies of stresses in the neighborhood of the vertex of an elastic trihedron. Sov. Phys. Dokl., 1991, 36(6), 445-447.


E.V.Glushkov, N.V.Glushkova and I.V.Chaus, Energy Distribution of a Source of Harmonic Waves in a Fluid Layer on an Elastic Half-Space. Soviet Phys. Acoust. (USA) , 1990, 36(6), 556-558.

E.V.Glushkov and N.V.Glushkova, Determination of the dynamic contact stiffness of an elastic layer. PMM U.S.S.R., 1990, v. 54, No. 3, 393-397.

E.V.Glushkov and N.V.Glushkova, On a Test for the Existence of the Phenomenon of High-Frequency Resonance in Semi-Infinite Regions. Mech. Solids (USA), 1990, 25(3), 197-199.

E.V.Glushkov, N.V.Glushkova, and E.V.Kirillova, Acoustic energy flux lines in an elastic layer. Soviet Phys. Acoust. (USA), May-June 1990, 36(3), 225-227.


V.A.Babeshko, E.V.Glushkov and J.F.Zinchenko, Dynamics of inhomogeneous linearly elastic media. Nauka, Moscow, 1989, 344 p. (monograph in Russian). (djvu 2808K)


V.A.Babeshko, E.V.Glushkov and N.V.Glushkova, Methods of Green matrix calculation in stratified elastic half-space. Zhurnal Vychislitelnoy Matematiki i Matematicheskoy Fiziki, 1987, v. 27, No 1, 93-101 (in Russian). (pdf 3.84K)


V.A.Babeshko, E.V.Glushkov, and N.V.Glushkova, Analysis of wave fields generated in a stratified elastic half-space by surface sources. Sov. Phys. Acoust. (USA), May-June 1986, 32(3), 223-226.

V.A.Babeshko, E.V.Glushkov, N.V.Glushkova and Zh.F.Zinchenko, Resonance phenomena in a multilayered half-space. Sov. Phys. Dokl. 31(2), Feb. 1986, 132-133.


E.V.Glushkov, Vibration of a system of massive stamps on a linearly deformed foundation. PMM U.S.S.R., 1985, v. 49, No. 1, 106-110.


E.V.Glushkov, Energy distribution of a surface source in an inhomogeneous half-space. PMM U.S.S.R., 1983, v. 47, No 1, 70-75.


V.A.Babeshko, E.V.Glushkov and J.F.Zinchenko, On the calculation of seismic source with directional radiation. Doklady Academii Nauk SSSR, 1982, v.262, No 4, 831-834 (in Russian).


V.A.Babeshko, E.V.Glushkov and N.V.Glushkova, Singularities at corners of three-dimensional stamps in contact problems. Sov. Phys. Dokl., 26(3), 1981, 290-292.


E.V.Glushkov and N.V.Glushkova, 2D problem of a punch vibration on a layer. Izvestija SKNZ VSh, 1979, No. 1, 23-25 (in Russian). (pdf 184K)


V.A.Babeshko, E.V.Glushkov and N.V.Glushkova, Dynamic contact problems with arbitrary areas. Izvestiya Akademii Nauk SSSR. Mekhanika Tverdogo Tela, 1978, No 3, 61-67 (in Russian).



Last update: Dec, 2012

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