Mihhail Berezovski

RESEARCH INTERESTS

My research interest lies mainly in the realm of the computational mathematics and mathematical material science. The main subject of my research is numerical analysis of dynamic response of advanced and novel materials such as micro-structured, multifunctional, hierarchical, and dynamic materials.

My research can be separated into the three following major categories:

Numerical methods for hyperbolic PDEs:
  • Development of higher-order finite-volume algorithms for wave propagation in linear and nonlinear media, including thermo-elastic, electromagnetic, and shallow water waves.
  • Higher-order finite-volume algorithms for dispersive waves in materials with microstructure, periodic and functionally graded media.
  • Font tracking algorithms for shock waves and phase-transition fronts.
Mathematical Material Science:
  • Analysis and implementation of constitutive models for wave propagation in heterogeneous and anisotropic material with microstructure at different time and space scales.
Computational Solid Mechanics:
  • Numerical analysis of dynamic response under impact loading of advanced and novel materials such as micro-structured, bio-inspired, hierarchical, and dynamic materials.
  • Numerical simulation of wave propagation in acoustic metamaterials (phononic crystals) with focus on negative index materials and acoustic diode.
  • Dynamic energy redistribution by wave handling in complex material structures.

PUBLICATIONS

2018
A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, and V. Adámek, Full field computing for elastic pulse dispersion in inhomogeneous bars, Composite Structures, 204 , 2018, 388-394.
Print M. Berezovski, A. Berezovski, Numerical Simulation of Energy Localization in Dynamic Materials, Advances in Mechanics of Microstructured Media and Structures, Springer, Cham, 2018, 75-83.
2017
A. Berezovski, M. Berezovski, Dynamics of discontinuities in elastic solids, Math. Mech. Solids, , 2017, 1-13.
A. Berezovski, M. Berezovski, Numerical simulation of acoustic emission during crack growth in 3-point bending test, Struct. Control Health Monit., 24(11), 2017, 1-8.
2016
Print A. Berezovski, M. Berezovski, Thermoelastic waves in microstructured solids, in: Continuous Media with Microstructure II, B. Albers, M. Kuczma (Eds) , Springer, 2016, 137-150.
2015
A. Berezovski, J. Engelbrecht, M. Berezovski, Pattern formation of elastic waves and energy localization due to elastic gratings, Int. J. Mech. Sci., 101, 2015, 137-144.
2014
Print A. Berezovski, J. Engelbrecht, M. Berezovski, Numerical simulation of elastic wave diffraction at embedded gratings, in: Proceedings of 27rd Nordic Seminar on Computational Mechanics NSCM-27, Stockholm, Ed. Eriksson, A.; Kulachenko, et al. (Eds.) , Lund University, 2014, 113-116.
2013
A. Berezovski, M. Berezovski, Influence of microstructure on thermoelastic wave propagation, Acta Mech., 224, 2013, 2623-2633.
Print A. Berezovski, J. Engelbrecht, A. Salupere, K. Tamm, T. Peets, M. Berezovski, Dispersive waves in microstructured solids, Int. J. Solids Struct., 50, 2013, 1981–1990.
2012
Print M. Berezovski, A. Berezovski, On the stability of a microstructure model, Comp. Mater. Sci., 52 , 2012, 193-196.
Print A. Berezovski, J. Engelbrecht, M. Berezovski, Wave propagation and dispersion in microstructured solid, in: Proceedings of the 25th Nordic Seminar on Computational Mechanics, K. Persson, J. Revstedt, et al. (Eds.), Lund University, 2012, 73-76.
2011
Print M. Rousseau, G. A. Maugin, M. Berezovski, Elements of study on dynamic materials, Arch. Appl. Mech, 81, 2011, 925-942.
Print A. Berezovski, J. Engelbrecht, M. Berezovski, Waves in microstructured solids: a unified viewpoint of modeling, Acta Mech., 220(1-4), 2011, 349 - 363.
Print A. Berezovski, M. Berezovski, J. Engelbrecht, Two-scale microstructure dynamics, J. Multiscale Modelling, 3(3), 2011, 177–188.
Print T. Soomere, M. Berezovski, E. Quak, B. Viikmäe, Modeling environmentally friendly fairways using Lagrangian trajectories: a case study for the Gulf of Finland, the Baltic Sea, Ocean Dynam., 61, 2011, 1669–1680.
Print A. Berezovski, J. Engelbrecht, M. Berezovski, Dispersive wave equations for solids with microstructure, Springer Proc. in Physics, 139, 2011, 699-705.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Wave propagation in heterogeneous materials with secondary substructure, in: Advances in Heterogeneous Material Mechanics (2011): Proceedings of the Third International Conference, May 22-26, 2011, Shanghai, China: Fan, Jinghong et al. (Eds.), Lancaster: DEStech Publications, Inc., 2011, 531 - 534.
2010
Print M. Berezovski, A. Berezovski, T. Soomere, B. Viikmäe, On wave propagation in laminates with two substructures, Est. J. Eng., 16(3), 2010, 228–242.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Waves in materials with microstructure: numerical simulation, Proc. Estonian Acad. Sci., 59(2), 2010, 99 - 107.
Print B. Viikmäe, T. Soomere, M. Viidebauma, M. Berezovski, Temporal scales for transport patterns in the Gulf of Finland, the Baltic Sea, Est. J. Eng., 16(3), 2010, 211–227.
M. Berezovski, Numerical Simulation of Wave Propagation in Heterogeneous and Microstrucured Materials, Tallinn: TUT Press, 2010.
Print J. Engelbrecht, A. Berezovski, M. Berezovski, Deformation Wave in Microstructured materials: Theory and Numerics, in: IUTAM Symposium on Recent Advances of Acoustic Waves in Solids, Wu, Tsung-Tsong; Ma, Chien-Ching (Eds.), IUTAM Bookseries, Springer, 26(1), 2010, 19-29.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Numerical simulations of one-dimensional microstructure dynamics, AIP Conf. Proc., 1233, 2010, 1052 - 1057.
2009
Print A. Berezovski, M. Berezovski, J. Engelbrecht, Waves in Inhomogeneous Solids, in: Applied Wave Mathematics - Selected Topics in Solids, Fluids and Mathematical Methods, E.Quak, T. Soomere (Eds.), Springer, 2009, 55-81.
2007
A. Berezovski, M. Berezovski, J. Engelbrecht, G. A. Maugin, Numerical simulation of waves and fronts in inhomogeneous solids, in: Multi-Phase and Multi-Component Materials Under Dynamic Loading, W.K. Nowacki, H. Zhao (Eds.), Inst. Fund. Technol. Res. Warsaw, (EMMC-10 Conference proceedings), 2007, 71-80.
2006
Print A. Berezovski, M. Berezovski, J. Engelbrecht, Numerical simulation of nonlinear elastic wave propagation in piecewise homogeneous media, Mat. Sci. Engng A, 418, 2006, 364–369.
Published Conference Abstracts
Print A. Berezovski, J. Engelbrecht, M. Berezovski, Numerical simulation of elastic wave diffraction, 13th European Mechanics of Materials Conference, Warsaw, Poland, September 8th - 11th, 2013, Book of Abstracts, p. 201.
Print A. Berezovski, M. Berezovski, Dispersive wave propagation in solids with microstructure, SIAM Conference on Computational Science & Engineering (CSE13), The Westin Boston Waterfront, Boston, Massachusetts, USA, February 25 - March 1, 2013, Book of Abstracts, p. 141.
Print A. Berezovski, J. Engelbrecht, M. Berezovski, Influence of internal structures on wave dispersion in solids, EUROMECH Colloquium 540 - Advanced Modelling of Wave Propagation in Solids, 1-3 October 2012, Prague, Czech Republic, Book of Abstracts, 31-32.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Wave propagation in heterogeneous materials with secondary substructure, The 3rd International Conference for Heterogeneous Materials Mechanics (ICHMM), Shanghai University, China, 22-29 May, 2011, Book of Abstracts.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Two-scale macroscopic dynamics of materials with microstructure, The 20th International Workshop on Computational Mechanics of Materials (IWCMM 2010). Loughborough University, UK, 8-10 September 2010, Book of Abstracts, pp. 13–14.
Print A. Berezovski, M. Berezovski, and J. Engelbrecht, Multiscale Microstructure Dynamics, International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2010), Berlin (Germany), August 30th - September 2nd, 2010, Book of Abstracts, p. 1.
Print A. Berezovski, M. Berezovski, J. Engelbrecht, Dispersive wave equations for microstructured solids, CPEA’10 - Course and Conference on Continuum Physics and Engineering Applications, Rackeve (Budapest), Hungary, May 29- June 7 2010, Programme and Abstracts, p. 35.
Print M. Berezovski, A. Berezovski, J. Engelbrech, Numerical simulation of wave propagation in materials with microstructure, SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, Pennsylvania, May 23-26, 2010, MS10 Abstracts, 57–58.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Numerical simulations of one-dimensional microstructure dynamics, 2nd Int. Symp. on Computational Mechanics (ISCM II) and 12th Int. Conf. on Enhancement and Promotion of Computational Methods in Eng. and Sci. (EPMESC XII), November 30 – December 3, 2009 Hong Kong - Macau, Book of Abstracts, p. 193.
Print M. Berezovski, A. Berezovski, J. Engelbrecht, Waves in materials with microstructure: Numerical simulation, in: A.Berezovski and T.Soomere (eds.) Int. Conf. Complexity of Nonlinear Waves. Book of abstracts, TUT, Tallinn, 2009, p. 9.
Print M. Rousseau, G.A. Maugin, M. Berezovski, Elements of wave propagation in dynamic materials. Proc. of 7th EUROMECH Solid Mech. Conf., September 7–11, 2009, Lisbon, Portugal, p. 55.
Print J. Engelbrecht, A. Berezovski, M. Berezovski, Deformation waves in microstructured materials: Theory and Numerics, IUTAM Symp. on Recent Advances of Acoustic Waves in Solids, May 25–28, 2009, Taipei, Taiwan. Abstracts Book, 21–22.