Publications

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2023

Gu, Y., Zhang, C., Zhang, P., Golub, M.V., Yu, B. Enriched physics-informed neural networks for 2D in-plane crack analysis: Theory and MATLAB code // International Journal of Solids and Structures, 2023, 276, 112321
https://doi.org/10.1016/j.ijsolstr.2023.112321

Golub, M.V., Fomenko, S.I., Shpak, A.N., ...Wang, Y., Zhang, C. Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities // Applied Mathematical Modelling, 2023,120, pp. 812–832
https://doi.org/10.1016/j.apm.2023.04.017

Kuchumov, A.G., Doroshenko, O.V., Golub, M.V., ...Rakisheva, I.O., Shekhmametyev, R.M. Numerical Method for Geometrical Feature Extraction and Identification of Patient-Specific Aorta Models in Pediatric Congenital Heart Disease // Mathematics, 2023, 11(13), 2871
https://doi.org/10.3390/math11132871

Golub, M.V., Doroshenko, O.V., Gu, Y. Effective Boundary Conditions and Stochastic Crack Distribution for Modelling Guided Waves Scattering by a Partially Closed Interfacial Delamination in a Laminate // Materials ., 2023, 16(6), 2415
https://doi.org/10.3390/ma16062415

Golub, M.V., Moroz, I.A., Wang, Y., ...Mareev, S.A., Zhang, C. Design and Manufacturing of the Multi-Layered Metamaterial Plate with Interfacial Crack-like Voids and Experimental-Theoretical Study of the Guided Wave Propagation // Acoustics, 2023, 5(1), pp. 122–135
https://doi.org/10.3390/acoustics5010008

Eremin, A.A., Golub, M.V., Fomenko, S.I., Evdokimov, A.A., Nets, P.A. Multi-Layered and Homogenized Models for In-Plane Guided Wave Excitation, Sensing, and Scattering in Anisotropic Laminated Composites // Applied Sciences (Switzerland), 2023, 13(3), 1698
https://doi.org/10.3390/app13031698

Khanazaryan, A.D., Golub, M.V. HYBRID METHOD FOR MODELLING ANTI-PLANE VIBRATIONS OF LAYERED WAVEGUIDES WITH BONDED COMPOSITE JOINTS //Computational Continuum Mechanics , 2023, 16(1), pp. 101–114
https://doi.org/10.7242/1999-6691/2023.16.1.8

Glushkov, E.V., Glushkova, N.V., Ermolenko, O.A., Tatarinov, A.M. Study of Ultrasonic Guided Wave Propagation in Bone Composite Structures for Revealing Osteoporosis Diagnostic Indicators // Materials., 2023, 16(18), 6179
https://doi.org/10.3390/ma16186179

2022

Gu Y., Zhang C., Golub M.V. Physics-informed neural networks for analysis of 2D thin-walled structures // Engineering Analysis with Boundary Elements, 2022, 145, pp. 161–172
https://doi.org/10.1016/j.enganabound.2022.09.024

Mueller I., Memmolo V., Tschöke K., Moix-Bonet M., Möllenhoff K., Golub M., Venkat R.S., Lugovtsova Ye., Eremin A., Moll J. Performance Assessment for a Guided Wave-Based SHM System Applied to a Stiffened Composite Structure // Sensors, 2022, 22(19), 7529
https://doi.org/10.3390/s22197529

Wang Y., Li Z., Golub M.V., Huang G., Chen W., Zhang C. Interfacial delamination-induced unidirectional propagation of guided waves in multilayered media // Mathematics and Mechanics of Solids, 2022, 27(8), pp. 1531–1545
https://doi.org/10.1177/10812865221092680

Golub M.V., Doroshenko O.V., Arsenov M.A., Eremin A., Gu Y., Bareiko I.A. Improved Unsupervised Learning Method for Material-Properties Identification Based on Mode Separation of Ultrasonic Guided Waves // Computation, 2022, 10(6), 93
https://doi.org/10.3390/computation10060093

Golub M.V., Doroshenko O.V., Arsenov M.A., Bareiko I.A., Eremin A.A. Identification of Material Properties of Elastic Plate Using Guided Waves Based on the Matrix Pencil Method and Laser Doppler Vibrometry // Symmetry, 2022, 14(6), 1077
https://doi.org/10.3390/sym14061077

A. N. Shpak, S. A. Siuhina, M. V. Golub, “Simulation of the vibrations of a piezoelectric transducer with a wrapped electrode using the spectral element method”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:3 (2022), 96–110
https://doi.org/10.14529/mmp220307

A.A. Eremin, M.V. Wilde, M.V. Golub, N.V. Pleshkov. Influence of retroreflective films on the behaviour of elastic guided waves measured with laser Doppler vibrometry // Measurement. 2022. - Vol.190. -№110572.
https://doi.org/10.1016/j.measurement.2021.110572

M.V. Wilde, M.V. Golub, A.A. Eremin. Elastodynamic Behaviour of Laminate Structures with Soft Thin Interlayers: Theory and Experiment // Materials. 2022. - V. 15(4). - № 1307.
https://doi.org/10.3390/ma15041307

Y. Wang, Y. Zheng, M.V. Golub, S.I. Fomenko, G. Huang, W. Chen, Ch. Zhang. Electro-mechanical demultiplexer enabled by tunable electric circuits // Extreme Mechanics Letters. 2022. - V. 51. - № 101610.
https://doi.org/10.1016/j.eml.2022.101610

M.V. Golub, O.V. Doroshenko. Analysis of Eigenfrequencies of a Circular Interface Delamination in Elastic Media Based on the Boundary Integral Equation Method // Mathematics 2022. - V. 10(1). - № 38.
https://doi.org/10.3390/math10010038

X. Wang, Y. Gu, M.V. Golub. Analysis of bimaterial interface cracks using the localized method of fundamental solutions // Results in Applied Mathematics. 2022. -V. 13. - № 100231.
https://doi.org/10.1016/j.rinam.2021.100231

2021

E.V. Glushkov, N.V. Glushkova. Guided waves in multilayered anisotropic composites // Journal of Applied Mathematics and Mechanics. 2021. - Vol. 85(3). - pp. 296-308.
https://elibrary.ru/item.asp?doi=10.31857/S0032823521030061

E.V. Glushkov, N.V. Glushkova. Multiple zero-group velocity resonances in elastic layered structures // Journal of Sound and Vibration. 2021. -Vol. 500. - № 116023.
https://doi.org/10.1016/j.jsv.2021.116023

M.V. Golub, O.V. Doroshenko, S.I. Fomenko, C. Zhang, Y. Wang. Elastic wave propagation, scattering and localization in layered phononic crystals with arrays of strip-like cracks // International Journal of Solids and Structures. 2021. - Vol. 212. - pp. 1-22.
https://doi.org/10.1016/j.ijsolstr.2020.12.001

M.V. Golub, A.N. Shpak, I. Mueller, S.I. Fomenko, C.-P. Fritzen. Lamb Wave scattering analysis for interface damage detection between surface-mounted block and elastic plate // Sensors. 2021. - Vol. 21(3). - № 860.
https://doi.org/10.3390/s21030860

Y. Wang, E. Perras, M.V. Golub, S.I. Fomenko, C. Zhang, W. Chen. Manipulation of the guided wave propagation in multilayered phononic plates by introducing interface delaminations // European Journal of Mechanics, A/Solids. 2021. - Vol. 88. - № 104266.
https://doi.org/10.1016/j.euromechsol.2021.104266

A.N. Shpak, M.V. Golub, I. Mueller, A. Eremin, J. Kathol, C.-P. Fritzen. Influence of a delamination on Lamb wave excitation by a nearby piezoelectric transducer // Journal of Intelligent Material Systems and Structures. 2021. - Vol. 32(3). - pp. 267-283.
https://doi.org/10.1177/1045389X20919977

2020

E.V. Glushkov, N.V. Glushkova, M.V. Golub, A.A. Eremin. Resonant Method for Detection and Identification of Delamination in Composite Plates by Elastic Guided Waves // Mechanics of Solids. 2020. - Vol. 55(6). - pp. 865–871.
https://doi.org/10.3103/S0025654420050076

A.A. Eremin, E.V. Glushkov, N.V. Glushkova. Application of Piezoelectric Wafer Active Sensors for Elastic Guided Wave Excitation and Detection in Structural Health Monitoring Systems for Elongated Constructions // Russian Journal of Nondestructive Testing. 2020. - Vol. 56(10). - pp. 795–809.
https://doi.org/10.1134/S1061830920100034

M.V. Golub, O.V. Doroshenko. Effective spring boundary conditions modelling wave scattering by an interface with a random distribution of aligned interface rectangular cracks // European Journal of Mechanics - A/Solids: journal. 2020. - Vol. 80. - № 103894.
https://doi.org/10.1016/j.euromechsol.2019.103894

M.V. Golub, O.V. Doroshenko, S.I. Fomenko, Y. Wang, Ch. Zhang. Modelling of wave propagation in layered phononic crystal with multiple internal cracks and electrodes // AIP Conference Proceedings. 2020 - Vol. 2239. - 20014
https://doi.org/10.1063/5.0007791

A.N. Shpak, I. Mueller, M.V. Golub, C.-P. Fritzen. Theoretical and experimental investigation of Lamb waves excited by partially debonded piezoelectric transducers // Smart Materials and Structures. – 2020. - Vol. 29, I. 4., № 045043.
https://doi.org/10.1088/1361-665X/ab75a1

M.V. Golub, O.V. Doroshenko, S.I. Fomenko, C. Zhang. Wave propagation in elastic bi-materials with a doubly periodic array of interface cracks // Journal of Physics: Conference Series (4th International Conference on Metamaterials and Nanophotonics, METANANO 2019; St. Petersburg, 15- 19 July 2019). – 2020. - Vol. 1461.- № 012051.
https://doi.org/10.1088/1742-6596/1461/1/012051

S.I. Fomenko, M.V. Golub, C. Zhang. Wave transmission through a layered piezoelectric/elastic phononic crystal with capacitors // Journal of Physics: Conference Series (4th International Conference on Metamaterials and Nanophotonics, METANANO 2019; St. Petersburg, 15-19 July 2019). – 2020. - Vol. 1461. - № 012040.
https://doi.org/10.1088/1742-6596/1461/1/012040

S.I. Fomenko, M.V. Golub, A.N. Shpak, S.A. Glinkova. Energy Streamlines and the Power Density Vector Accompanying Wave Excitation by a Piezoelectric Transducer in a Layered Phononic Crystal // Ecological bulletin of research centers of the black sea economic cooperation: scientific journal. 2020. - № 1. - Part. 2. - P. 31-41.
https://doi.org/10.31429/vestnik-17-1-2-48-60

M.V. Golub, S.I. Fomenko, O.V. Doroshenko. Features of the Plane Wave Propagating Through a Layered Phonon Crystal with Multiple Periodic Arrays of Cracks // Ecological bulletin of research centers of the black sea economic cooperation - №1 Part. 2. – 2020. P. 48-60.
https://doi.org/10.31429/vestnik-17-1-2-31-41

O.I. Novikov, A.A. Evdokimov. Implementation of a hybrid numerical-analytical approach for solving the problems of SH-wave diffraction by arbitrary-shaped obstacles// Ecological bulletin of research centers of the black sea economic cooperation. – Vol. 17. Part. 2. – 2020. P. 49-56.
https://doi.org/10.31429/vestnik-17-2-49-56

2019

E.V. Glushkov, N.V. Glushkova, O.A. Miakisheva. The Distribution of Air-coupled Transducer Energy Among the Traveling Waves Excited in a Submerged Elastic Waveguide // Acoustical Physics. 2019 - Vol. 65. - P. 623–633.
https://doi.org/10.1134/S1063771019060034

O.V. Doroshenko, E.V. Kirillova, S.I. Fomenko. An asymptotic solution of the hypersingular boundary integral equation simulating wave scattering by the interface strip-like crack. PNRPU Mechanics Bulletin, 2019, no. 2, pp. 86-99.
https://doi.org/10.15593/perm.mech/2019.2.07

E. Glushkov, N. Glushkova, O. A. Miakisheva. Backward waves and energy fluxes excited in acoustic medium with an immersed plate // Ultrasonics. 2019. Vol. 94. P. 158-168.
https://doi.org/10.1016/j.ultras.2018.10.001

M. V. Wilde, M. V. Golub, A. A. Eremin. Experimental observation of theoretically predicted spectrum of edge waves in a thick elastic plate with facets // Ultrasonics. 2019. Vol. 98. P. 88–93.
https://doi.org/10.1016/j.ultras.2019.05.009

А. Eremin, M. Golub, E. Glushkov, N. Glushkova. Identification of delamination based on the Lamb wave scattering resonance frequencies // NDT and E International. 2019. Vol. 103. P. 145–153.
https://doi.org/10.1016/j.ndteint.2019.03.001

M. V. Golub, O. V. Doroshenko. Wave propagation through an interface between dissimilar media with a doubly periodic array of arbitrary shaped planar delaminations // Mathematics and Mechanics of Solids. 2019. Vol. 24(2). P. 483-498.
https://doi.org/10.1016/j.jcp.2018.10.003

M. V. Golub, O. V. Doroshenko. Effective spring boundary conditions for modelling wave transmission through a composite with a random distribution of interface circular cracks // International Journal of Solids and Structures. 2019. Vol. 165. P. 115-126.
https://doi.org/10.1016/j.ijsolstr.2019.02.002

M. V. Golub, A. A. Eremin, A. N. Shpak, R. Lammering. Lamb wave scattering, conversion and resonances in an elastic layered waveguide with a surface-bonded rectangular block // Applied Acoustics. 2019. Vol. 155. P. 442–452.
https://doi.org/10.1016/j.apacoust.2019.06.009

M. V. Wilde, M. V. Golub, A. A. Eremin. Experimental and theoretical investigation of transient edge waves excited by a piezoelectric transducer bonded to the edge of a thick elastic plate // Journal of Sound and Vibration. 2019. Vol. 441. P.26–49.
https://doi.org/10.1016/j.jsv.2018.10.015

S. I. Fomenko, M. V. Golub, A. Chen, Yu. Wang, Ch. Zhang. Band-gap and pass-band classification for oblique waves propagating in a three-dimensional layered functionally graded piezoelectric phononic crystal // Journal of Sound and Vibration. 2019. Vol. 439. P. 219–240.
https://doi.org/10.1016/j.jsv.2018.09.059

M. V. Golub, O. V. Doroshenko. Boundary integral equation method for simulation scattering of elastic waves obliquely incident to a doubly periodic array of interface delaminations // Journal of Computational Physics. 2019. Vol. 376. P. 675-693.
https://doi.org/10.1016/j.jcp.2018.10.003

M. V. Golub, A.N. Shpak. Semi-analytical hybrid approach for the simulation of layered waveguide with a partially debonded piezoelectric structure // Applied Mathematical Modelling. 2019. Vol. 65. P. 234–255.
https://doi.org/10.1016/j.apm.2018.08.019

2018

E. Glushkov, N. Glushkova, B. Bonello, L. Lu, E. Charron, N. Gogneau, F. H. Julien, M. Tchernycheva, and O. Boyko. Evaluation of Effective Elastic Properties of Nitride NWs/Polymer Composite Materials Using Laser-Generated Surface Acoustic Waves // Applied Sciences. 2018. 8(11), 2319.
https://doi.org/10.3390/app8112319

A.A. Eremin Viscosity-driven attenuation of elastic guided waves in layered composite structures // Materials Physics and Mechanics.2018. Vol. 37. P. 42-51.
https://doi.org/10.18720/MPM.3712018_6

L. Lu, E. Charron, E. Glushkov, N. Glushkova, B. Bonello, F. H. Julien, N. Gogneau, M. Tchernycheva, and O. Boyko. Probing elastic properties of nanowire-based structures // Appl. Phys. Lett. 113, 161903 (2018).
https://doi.org/10.1063/1.5045665

Dong-Jia Yan, A-Li Chen, Yue-Sheng Wang, Chuanzeng Zhang, Mikhail Golub. In-plane elastic wave propagation in nanoscale periodic layered piezoelectric structures // International Journal of Mechanical Sciences 142–143 (2018), p. 276–288
https://doi.org/10.1016/j.ijmecsci.2018.04.054

M.V. Golub, O.V. Doroshenko, A.E. Boström. Transmission of elastic waves through an interface between dissimilar media with random and periodic distributions of strip-like micro-cracks // Materials Physics and Mechanics 37 (2018), p. 52-59
https://doi.org/10.18720/MPM.3712018_7

E. Glushkov, N. Glushkova, A. Evdokimov. Hybrid Numerical-Analytical Scheme for Calculating Elastic Wave Diffraction in Locally Inhomogeneous Waveguides // Acoustical Physics. 2018. 64(1). P. 1-9
https://doi.org/10.1134/S1063771018010086

E. Glushkov, N. Glushkova, A. Eremin, R. Lammering. Trapped modes and resonance wave transmission in a plate with a system of notches // Journal of Sound and Vibration. 2018. Vol. 412. P. 360–371.
https://doi.org/10.1016/j.jsv.2017.09.041

2017

A.A. Eremin, E.V. Glushkov, N.V. Glushkova, R. Lammering, Localization of inhomogeneities in an elastic plate using the time reversal method, Acoustical Physics. 2017. Vol. 63. P. 562-569.
https://doi.org/10.1134/S1063771017050050

E. Glushkov, N. Glushkova, S. Fomenko. Wave generation and source energy distribution in cylindrical fluid-filled waveguide structures. Wave Motion. 2017. Vol. 72. P. 70-86.
https://doi.org/10.1016/j.wavemoti.2017.01.001

S. I. Fomenko, M. V. Golub, A. A. Aleksandrov. Numerically Stable Method For Wave-Field Calculation And Band-Gap Estimation In Layered Phononic Crystals // Computational continuum mechanics. - 2017. - Vol. 10, No. 3. - P. 235-244.
https://doi.org/10.7242/1999-6691/2017.10.3.19

Dong-Jia Yan, A-Li Chen, Yue-Sheng Wang, Chuanzeng Zhang, Mikhail Golub. Propagation of guided elastic waves in nanoscale layered periodic piezoelectric composites // European Journal of Mechanics A/Solids. V. 66 (2017). P. 158-167.
https://doi.org/10.1016/j.euromechsol.2017.07.003

A. A. Evdokimov. Allocation and Movement of Roots of the Lamb Wave Dispersion Equation in Complex Plane // Ecological bulletin of Research centers of the black sea economic cooperation (BSEC) 2017, No. 3. P. 30-37.

O. A.Myakisheva. The interaction of source-generated spherical waves with an elastic plate immersed in acoustic fluid // Ecological bulletin of Research centers of the black sea economic cooperation (BSEC) 2017, No. 3. P. 38-45.

2016

S.I.Fomenko, A.A. Aleksandrov, Wave fields and band gaps in layered phonon crystals // Ecological messeger of scientific centers of the Black Sea Economic Cooperation. 2016, №4, p.92-99

M.V. Golub, O.V. Doroshenko, A. Boström. Effective spring boundary conditions for a damaged interface between dissimilar media in three-dimensional case // International Journal of Solids and Structures. 2016. Vol. 81. P. 141-150.

2015

E.V. Glushkov, N.V. Glushkova, A.A. Eremin. Guided wave based nondestructive testing and evaluation of effective elastic moduli of layered composite materials // Materials Physics and Mechanics. 2015. V. 23. P. 56-60.

E.V. Glushkov, N.V. Glushkova, A.A. Eremin, R. Lammering. Trapped mode effects in notched plate-like structures// Journal of Sound and Vibration. 2015. V. 358. P. 142-151.
https://doi.org/10.1016/j.jsv.2015.08.007

E.V. Glushkov, N.V. Glushkova, S.I. Fomenko. Wave energy transfer in elastic half-spaces with soft interlayers // J. Acoust. Soc. Am. 137 (4), 2015, p. 1802-1812.
https://doi.org/10.1121/1.4916607

E.V. Glushkov, N.V. Glushkova, A.A. Eremin, V. Giurgiutiu. Low-cost simulation of guided wave propagation in notched plate-like structures // Journal of Sound and Vibration. 2015. V. 352. P. 80-91.
https://doi.org/10.1016/j.jsv.2015.05.004

A.A. Eremin, E.V. Glushkov, N.V. Glushkova, R. Lammering. Evaluation of effective elastic properties of layered composite fiber-reinforced plastic plates by piezoelectrically induced guided waves and laser Doppler vibrometry // Composite Structures. 2015. V. 125. P. 449-458.
https://doi.org/10.1016/j.compstruct.2015.02.029

M.V. Golub, Ch. Zhang. In-plane time-harmonic elastic wave motion and resonance phenomena in a layered phononic crystal with periodic cracks // J. Acoust. Soc. Am. 137 (1), 2015, p. 238-252.
https://doi.org/10.1121/1.4904498

A. N. Shpak Piezoelectric actuator/sensor modeling with finite element method using Сhebyshev polinomials // Ecological bulletin of research centers of the black sea economic cooperation, Vol. 4, 2015, P. 75-85.

M. V. Golub, A. N. Shpak, I. Buethe, C.-P. Fritzen. Harmonic motion simulation and resonance frequency determination for a piezoelectric strip-like actuator using high precision finite element method // Computational Continuum Mechanics, 8(4), 2015, p. 397-407.
https://doi.org/https://doi.org/10.7242/1999-6691/2015.8.4.34

2014

S.I. Fomenko, M.V. Golub, T.Q. Bui, Ch. Zhang, Y.-S. Wang, In-plane elastic wave propagation and band-gaps in layered functionally graded phononic crystals // International Journal of Solids and Structures, Vol. 51. Issue 13.
https://doi.org/10.1016/j.ijsolstr.2014.03.017

E. Glushkov, N. Glushkova, A. Eremim, R. Lammering, Group velocity of cylindrical guided waves in anisotropic laminate composites // Journal of Acoustical Society of America. 2014. Vol. 135(1). P. 148-154.
https://doi.org/10.1121/1.4829534

M.V. Golub, Ch. Zhang, In-plane wave motion and resonance phenomena in periodically layered composites with a crack // Wave Motion, 2014, Vol. 51, Issue 2, 308-322.
https://doi.org/10.1016/j.wavemoti.2013.08.006

2013

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. 8-18,
https://doi.org/10.1134/S106377101206005X

M.V. Golub, A. Bostrom., P. Folkow, Wave propagation of functionally graded layers treated by recursion relations and effective boundary conditions // International Journal of Solids and Structures, 2013, Vol. 50, Issue 1, 766-772.
https://doi.org/10.1016/j.ijsolstr.2012.11.003

T. Q. Bui, A. Khosravifard, Ch. Zhang, M. R. Hematiyan, M. V. Golub, Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method // Engineering Structures, Vol. 47, 2013, p. 90-104.
https://doi.org/10.1016/j.engstruct.2012.03.041

E. Glushkov, N. Glushkova, A. Eremin. Efficient mathematical representations for computing the forced wave dynamics of anisotropic laminated composites // CEAS Aeronautical Journal. 2013. - Vol. 4(1). - pp. 11-19.
https://doi.org/10.1007/s13272-013-0064-1

2012

E. Glushkov, N. Glushkova, M.V. Golub, J. Moll, C.-P. Fritzen, Wave energy trapping and localization in a plate with a delamination // Smart Materials and Structures 21 (2012) 125001 (12 pp).
https://doi.org/10.1088/0964-1726/21/12/125001

E. Glushkov, N. Glushkova, C. Zhang, Surface and pseudo-surface acoustic waves piezoelectically excited in diamond-based structures // J. Appl. Phys. 2012, 112, 064911. 10 pp.
https://doi.org/10.1063/1.4754431

M.V. Golub, S.I. Fomenko, T.Q. Bui, Ch. Zhang, Y.-S. Wang, Transmission and band gaps of elastic SH waves in functionally graded periodic laminates // International Journal of Solids and Structures Vol. 49, Issue 2, 2012, P. 344-354.
https://doi.org/10.1016/j.ijsolstr.2011.10.013

J. Moll, M.V. Golub, E.V. Glushkov, N.V. Glushkova, C.-P. Fritzen, Non-axisymmetric Lamb Wave Excitation by Piezoelectric Wafer Active Sensors // Sensors and Actuators: A. Physical Vol. 174, 2012, P. 173-180.
https://doi.org/10.1016/j.sna.2011.11.008

M.V. Golub, Ch. Zhang, Y.-S. Wang, SH-wave propagation and scattering in periodically layered composites with a damaged layer // Journal of Sound and Vibration. 2012. Vol. 331, Issue 8. P. 1829-1843.
https://doi.org/10.1016/j.jsv.2011.12.008

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 // Journal of Acoustical Society of America. Vol. 132(2), pp. EL119-EL124 (2012); (6 pages)
https://doi.org/10.1121/1.4734392 (pdf 1.03 Mb)

P. Liu, T. Q. Bui, Ch. Zhang, T. T. Yu, G. R. Liu, M. V. Golub, The singular edge-based smoothed finite element method for stationary dynamic crack problems in 2D elastic solids // Computer Methods in Applied Mechanics and Engineering, 2012, Vol. 233-236, P. 68-80.
https://doi.org/10.1016/j.cma.2012.04.008

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. 339-353.
https://doi.org/10.1134/S1063771012010095, (pdf 1.1 Mb)

2011

E.V. Glushkov, N.V. Glushkova, M.V. Golub, A.A. Eremin, Resonance blocking and passing effects in two-dimensional elastic waveguides with obstacles // Journal of Acoustical Society of America, 2011, 130 (1), pp. 113-121.
https://doi.org/10.1121/1.3592225, (© 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 // Journal of Acoustical Society of America. 129 (5), 2011, pp. 2923-2934.
https://doi.org/10.1121/1.3559699, (© ASA, This article may be downloaded for personal use only, see details, pdf 2.3 Mb )

M.V. Golub, Ch. Zhang, Y. Wang, SH-wave propagation and resonance phenomena in a periodically layered composite structure with a crack // Journal of Sound and Vibration. 2011. Vol. 330. Issue 13. P. 3141-3154.
https://doi.org/10.1016/j.jsv.2011.01.018

M. V. Golub, A. Bostrom, Interface damage modelled by spring boundary conditions for in-plane elastic waves. Wave Motion. 2011. Vol. 48. p.105-115.
https://doi.org/10.1016/j.wavemoti.2010.09.003

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. 281-291.
https://doi.org/10.1134/S1063771011010052

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. 230-240.
https://doi.org/10.1134/S1063771011020059 (pdf 0.4 Mb)

O.V. Kvasha, A. Bostrom, N. V. Glushkova, 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.
https://doi.org/10.1080/17455030.2011.593586

Ye.V. Glushkov, N.V. Glushkova, W. Seemann, 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 56-64.
https://doi.org/10.1016/j.jappmathmech.2011.04.008. (pdf 0.4 Mb)

V.V. Mykhas'kiv, V.Z. Stankevych, E.V. Glushkov, N.V. Glushkova, Dynamic stresses in a compound body with circular crack under sliding contact on an interface, Journal of Mathematical Sciences, Volume 176, Issue 4, 2011, pp 590-599.
https://doi.org/10.1007/s10958-011-0424-5

E. Glushkov, N. Glushkova and J. Wauer, 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).
https://doi.org/10.1002/zamm.201000039 (pdf 1.1 Mb)

E.V. Glushkov, N.V. Glushkova, A.A. Eremin, R. Lammering, M. Neumann, Lamb wave excitation and propagation in elastic plates with surface obstacles: proper choice of central frequencies, Smart Materials and Structures. 20 (2011) 015020 (11pp).
https://doi.org/10.1088/0964-1726/20/1/015020 (pdf 713 K)

2010

M.V. Golub, Propagation of elastic waves in layered composites with microdefect concentration zones and their simulation with spring boundary conditions // Acoustical Physics, Volume 56, Number 6, 848-855.
https://doi.org/10.1134/S1063771010060084

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.
https://doi.org/10.1177/1045389X10385486 (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.
https://doi.org/10.1016/j.jappmathmech.2010.07.005 (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 Materials and Structures 2010. V. 19. 035018.
https://doi.org/10.1088/0964-1726/19/3/035018

M.V. Golub, SH-wave diffraction and resonances in periodic structures with infinitesimally thin inhomogeneities // Bulletin of the Russian Academy of Sciences: Physics. V. 74. No. 12. P.1682-1686.
https://doi.org/10.3103/S1062873810120130

2009

O. Axelsson, E. Glushkov, N. Glushkova, The local Green's function method in singularly perturbed convection-diffusion problems // Math. Comp. 78 (2009), 153-170.
https://doi.org/10.1090/S0025-5718-08-02161-3

A. Bostrom, M. Golub: Elastic SH wave propagation in a layered anisotropic plate with interface damage modelled by spring boundary conditions, Quaterly Journal of Mechanics and Applied Mathematics, 62, (2009) P. 39-52.
https://doi.org/10.1093/qjmam/hbn025

E. V. Glushkov, N. V. Glushkova, M. V. Golub, Ch. Zhang, Resonance Blocking of Traveling Waves by a System of Cracks in an Elastic Layer // Acoustical Physics, 2009, Vol. 55, No. 1, pp. 8-16.
https://doi.org/10.1134/S1063771009010023

E. Glushkov, N. Glushkova, A.Eremin V. Mykhas'kiv, Layered element method in elastiodynamics, Journal of Applied Mathematics and Mechanics Vol. 73. No. 4. pp. 449-456.
https://doi.org/10.1016/j.jappmathmech.2009.08.005

2007

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 Materials Structures 16 (2007) 650-664.
https://doi.org/10.1088/0964-1726/16/3/012

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) 643-654. (Prikl. Mat. Mekh. Vol. 71, No. 4, pp. 702-715, 2007).
https://doi.org/10.1016/j.jappmathmech.2007.09.011

E. V. Glushkov, N. V. Glushkova, C. S. Chen, SemiAnalytical 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, pp. 409 - 427.
https://doi.org/10.1080/10407790701443859

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, pp. 1007-1022.
https://doi.org/10.1016/j.jsv.2006.10.037

2006

E. Glushkov, N. Glushkova, M. Golub, A. Bostrom, Natural resonance frequencies, wave blocking, and energy localization in an elastic half-space and waveguide with a crack. Journal of Acoustical Society of America, 2006, 119(6), pp. 3589-3598.
https://doi.org/10.1121/1.2195269

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.
https://doi.org/10.1134/S1063771006030043

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), pp. 398-407.
https://doi.org/10.1134/S106377100604004X

B. 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), pp. 458-473.
https://doi.org/10.1016/j.wavemoti.2006.03.002

2005

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, Vaxjo, Sweden, 14-19 August 2005, eds. B. Nilsson, L. Fishman, pp. 152-159.
https://doi.org/10.1063/1.2205798

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, Vaxjo, Sweden, 14-19 August 2005, eds. B. Nilsson, L. Fishman, pp. 160-166 .
https://doi.org/10.1063/1.2205799

E. V. Glushkov, N. V. Glushkova, and D. V. Timofeev, Solution of Singularly Perturbed Convection-Diffusion Problems by the Local Green's Function Method. Computational Mathematics and Mathematical Physics, 2005, Vol. 45, No. 3, pp. 444-453.

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.

2004

E.V.Glushkov, N.V.Glushkova and E.M.Shapar, Blocking of a Rayleigh wave by a subsurface crack // Doklady Physics, Vol. 49, No. 10, 2004, pp. 608-613.
https://doi.org/10.1134/1.1815424

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.
https://doi.org/10.1007/1-4020-2387-1_19

2003

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

2002

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. ¹ 2. P. 77-85 (in Russian).

Ye.V.Glushkov, N.V.Glushkova, A.V.Ekhlakov, A mathematical model of the ultrasonic detection of three-dimensional cracks. J. Appl. Maths Mechs, 2002, Vol. 66, No 1. P. 141-149.

2001

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.
https://doi.org/10.1142/S0218396X01001169

E.V.Glushkov and N.V.Glushkova, The canonical solutions at corner points of 3D elastic bodies. Izvestija Vusov. Sev.-Kavk. region. Estestvennye Nauki. 2001. Special issue. P. 47 - 50 (in Russian).

2000

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.
https://doi.org/10.1134/1.171701

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.
https://doi.org/10.1023/A:1026551306681

1999

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.

1998

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.
https://doi.org/10.1016/S0021-8928(98)00102-6

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.
https://doi.org/10.1016/S0021-8928(98)00053-7

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.
https://doi.org/10.1016/S0021-8928(98)00035-5

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.

1997

E.V.Glushkov and N.V.Glushkova, Blocking property of energy vortices in elastic waveguides. J. Acoust. Soc. Am., 102(3), 1997, 1356-1360.
https://doi.org/10.1121/1.420054

Ye.V.Glushkov and Yu.G.Nikitin, Propagation of energy in a system of joined elastic half-strips of different thickness. J. Appl. Maths Mechs, 1997, Vol. 61, No. 2, pp. 239-244.
https://doi.org/10.1016/S0021-8928(97)00031-2

1996

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.
https://doi.org/10.1016/0021-8928(96)00035-4

1995

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.

1993

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.

1992

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. (pdf 191K)

V.A.Babeshko, E.V.Glushkov and N.V.Glushkova, Energy vortices and backward fluxes in elastic waveguides. Wave Motion, 16 (1992), 183-192.
https://doi.org/10.1016/0165-2125(92)90027-Y

1991

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.

1990

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. Journal of Applied Mathematics and Mechanics , 1990, Vol. 54, No. 3, 393-397.
https://doi.org/10.1016/0021-8928(90)90143-X

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 Physics. Acoustics, May-June 1990, 36(3), 225-227.

1989

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

1987

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).

1986

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.

1985

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.

1983

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.
https://doi.org/10.1016/0021-8928(83)90036-9

1982

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).

1981

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.

1979

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).

1978

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).