Yaroslav Zhuk

Yaroslav Zhuk

Prof. Dr.Sci. Yaroslav Zhuk,

Department of Theoretical and Applied Mechanics,

Mechanics and Mathematics Faculty,

Taras Shevchenko National University of Kyiv,

Kyiv-01601, Ukraine


Education and scientific career:

1991 – Mechanics and Mathematics Faculty, National Taras Shevchenko University of Kyiv

1994 – PhD. (S.P.Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine)

2002 – Dr.Sci. - Habilitation in Physics and Mathematics (S.P.Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine).


Teaching and other experience:

1994-2012 – Researcher, Senior Researcher, Leading Researcher in S.P.Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine

1998 – Postdoc, Hong Kong University of Sci. & Tech. (Hong Kong)

1999-2000 – Fellow Royal Society/NATO (Imperial College London, UK)

2008-2010 – EPSRC Visiting Professor (University of Aberdeen, UK)

2012-2013 – Professor of Department of Theoretical and Applied Mechanics, Mechanics and Mathematics Faculty, Taras Shevchenko National University of Kyiv

since 2013 – Head of Department of Theoretical and Applied Mechanics


2016-2017 head of the project no. 16ÁÏ038-03 “Solution of applied problems of energy complex and transport on the basis of novel theoretical and experimental methods”

2018-2020 – head of the project no. 18ÁÏ038-01 “Models and methods of the reliability and service life improvement of transport and energy equipment”

Coupled Thermomechanics, Nanocomposites, Structural Dynamics

Research Fields:
Materials Science

Previous and Current Research

The forced resonant vibrations and vibrational heating of viscoelastic plates with actuators are modeled considering geometrical nonlinearity and transverse shear. An approximate analytical solution of the problem is obtained for a hinged rectangular plate by the Bubnov–Galerkin method. The effect of geometrical nonlinearity and shear deformations on the efficiency of active damping of vibrations with piezoelectric actuators is analyzed. A failure criterion for the system of controlling the forced vibration of a hinged rectangular thermoviscoelastic plate with piezoelectric sensors and actuators are proposed. This criterion is associated with the self-heating temperature reaching some critical value. The critical electric load is found on the basis of this criterion. An energy failure criterion for thermoviscoelastic structural members subject to abrasive wear and dissipative heating is proposed. The criterion is used to develop an algorithm to calculate the durability of such members under long-term cyclic loading. A simple formula of the number of cycles to failure is obtained. Experimental results on destruction of a rubber liner are given. Good agreement between the theoretical and experimental results is observed.

 International Grants:

1993 – Grant of American Physical Society

1999-2000 – Royal Society/NATO Fellowship (Imperial College London, UK)

2004-2006 – Royal Society International Joint Project Grant (University of Aberdeen, UK)

2008-2010 – EPSRC (Engineering and Physical Sciences Research Council) Grant (University of Aberdeen, UK)

2011 – Royal Society Of Edinburgh International Programme (University of Aberdeen, UK)

Future Projects and Goals

The acoustic pressure and acoustic radiation force (ARF) acting on the spherical rigid particle immersed in a fluid filling the rigid or elastic cylindrical tube is going to be calculated. An expression for ARF acting upon the spherical particle will be deduced for the case when the incident wave is a plane wave propagating along the axis of the tube. Both acoustic pressure and ARF can be determined as the function of the incident wave frequency;

practical problem of computer simulation of the dynamic behavior of horizontal axis wind turbine composite rotor blades is going to be addressed. This type of wind turbines is the dominant design in modern wind farms, as such its dynamics and strength characteristics should be carefully studied. For this purpose, the mechanical model of a rotor blade with a composite skin possessing a stiffener will be developed and implemented as a finite element model;

forced resonant vibrations and dissipative heating of hinged viscoelsatic elastomeric plate under cyclic loading will be developed for the particular case of the membrane prestress forces applied. The influence of the elastomer properties, level of prestress and the heat transfer conditions on the amplitude-frequency and temperature-frequency characteristics of the forced vibration as well as the response of the material below the melting temperature is going to be studied in details

Methodological and Technical Expertise

Our expertise includes:

  • computer and analytical solutions for structural dynamics problems;

  • acoustics;

  • computer simulation of transient and steady state response of structures and members;

  • computer simulation of coupled thermomechanical and thermoelectromechanical processes;

  • mechanics of nanocomposites, traditional composites, smart materials, MEMS;

  • acoustic radiation force determination for the particles placed in liquid;

  • contact problem;

  • dissipative heating analysis;

  • computer simulation of the wind turbine blade response to different type of loading;

Selected Publications

1.      Kirichok I. F., Zhuk Y.A., Kruts S. Yu. Chapter 4: “Accounting for Shear Deformation in the Problem of Vibrations and Dissipative Heating of Flexible Viscoelastic Structural Element with Piezoelectric Sensor and Actuator”, in book “Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics” (Understanding Complex Systems book series (UCS)), Eds. Sadovnichiy V. A., Zgurovsky M. Z., Springer, 2021. – P. 51-69. ISBN: 978-3-030-50301-7, ISSN 1860-0832. DOI: https://doi.org/10.1007/978-3-030-50302-4

2.      Zhuk A. P., Zhuk Ya. A. Effect of Radiation Force on a Flexible Spherical Particle at the Free Liquid Surface // International Applied Mechanics. – 2020, – Vol. 56, No. 6. – P. 690 – 699. https://doi.org/10.1007/s10778-021-01045-x.

3.      Zhuk A., Ostos O. Effect of Preloading on the Resonant Vibrations and Dissipative Heating of a Rectangular Thermoviscoelastic Plate // International Applied Mechanics. – 2020, – Vol. 56, No. 4. – P. 432–444, https://doi.org/10.1007/s10778-020-01027-5.

4.      Zhuk A., Ostos O., Pyatetska O. Prestress effect on the thermomechanical response and fatigue life prediction of viscoelastic plates // Mathematical Modelling and Computing. – 2020. – Vol. 7, No. 1. – 112–124. https://doi.org/10.23939/mmc2020.01.112.

5.      Navadeh N., Goroshko I. O., Zhuk Y. A., Fallah A. S. Approximate Mode-based Simulation of Composite Wind Turbine Blade Vibrations using a Simplified Beam Model // European Journal of Computational Mechanics. – 2019. – Vol. 28, No. 4. – 307–324.

6.      Hashemi M., Zhuk Y. A. The influence of temperature on the cyclic properties of the transversely isotropic nanocomposite system under kinematic harmonic loading // Journal of Mathematical Sciences. – 2019. –Vol. 236, Issue 2. – P. 185–198. https://doi.org/10.1007/s10958-018-4105-5.

7.      Kyrychok, I.F., Zhuk, Y. & Karnaukhova, T.V. Resonance vibration and dissipative heating of a flexible viscoelastic beam with piezoactuators in the presence of shear strains // Journal of Mathematical Sciences. – 2019. –Vol. 243, Issue 1. – P. 73-84. https://doi.org/10.1007/s10958-019-04527-z.

8.      Zhuk A.P., Zhuk Y.A. On the Acoustic Radiation Force Acting Upon a Rigid Spherical Particle Near the Free Liquid Surface // International Applied Mechanics. – 2018. – V. 54, No. 5 – 544–551. DOI https://doi.org/10.1007/s10778-018-0907-x

9.      Hashemi M., Zhuk Y.A. Thermomechanical Stability and Thermal Fatigue Failure of Nanocomposite Structural Elements under Static and Cyclic Loading. – Lambert Academic Publishing, 2018. – 208 p. (ISBN-13: 978-613-8-38636-0; ISBN-10: 6138386361; EAN: 9786138386360)

10. Navadeh N., Goroshko I. O., Zhuk Y. A. Fallah A. S. An FEM-based AI approach to model parameter identification for low vibration modes of wind turbine composite rotor blades // European Journal of Computational Mechanics. – 2017. – Vol. 26, No 5-6. – P.541–556. doi.org/10.1080/17797179.2017.1382317.


Homepage: http://www.zhuk.com.ua

Postal address: Taras Shevchenko National University of Kyiv, Mechanics and Mathematics Faculty, Ukraine, Kyiv-03680, Glushkov Av. 4e

Email: yaroslavzhuk@knu.ua