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Elena N. Vilchevskaya

in Russian

Vilchevskaya Elena.jpg
Associate Professor
Chair of Theoretical Mechanics
Institute of Applied Mathematics and Mechanics (former Department of Physics and Mechanics)
Saint Petersburg State Polytechnical University (SPbSTU).
Leading Scientist
Institute for Problems in Mechanical Engineering Russian Academy of Sciences (IPME RAS).


  • Ph.D., Physics and Mathematics, 1996

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences. St. Petersburg, Russia Thesis: Calculation of the elastic stress fields in the neighborhood of thin inclusions and cracks

  • M.Sc., Mechanical Engineering, Diploma with honors, 1990

Leningrad Polytechnic Institute (now St. Petersburg State Polytechnical University) Department of Physics and Mechanics

Research interests[править]

  • Mechanics of materials with variable microstructures, stress-induced phase transformations, non-linear elasticity, mechanisms of plasticity and fracture
  • Mechanics of Composites
  • Thermodynamics

Selected publications[править]

  • E Vilchevskaya, I Sevostianov. Effect of pore shapes on the overall electrical conductivity of cathode material in Li-ion batteries. International Journal of Engineering Science 146, 103187 (2020)
  • E Vilchevskaya. (2019) On Micropolar Theory with Inertia Production. In: Altenbach H., Öchsner A. (eds) State of the Art and Future Trends in Material Modeling. Advanced Structured Materials, vol 100. Springer, Cham. pp. 421-442,
  • Alexander B. Freidin, Elena N. Vilchevskaya. Chemical Affinity Tensor in Coupled Problems of Mechanochemistry. In: Altenbach H., Öchsner A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg (2019). DOI:
  • A Smirnov, E Vilchevskaya, I Sevostianov. Evaluation of the effective viscoelastic properties of a material containing multiple oblate inhomogeneities using fraction-exponential operators International Journal of Engineering Science 144, 103124 (2019),
  • M Fomicheva, WH Müller, EN Vilchevskaya, N Bessonov. Funnel flow of a navier-stokes-fluid with potential applications to micropolar media. Facta Universitatis, Series: Mechanical Engineering 17 (2), 255-267 (2019) DOI: 10.22190/FUME190401029F
  • Polina Grigoreva, Elena N. Vilchevskaya, Wolfgang H. M¨uller. Stress and Diffusion Assisted Chemical Reaction Front Kinetics in Cylindrical Structures In Contributions to Advanced Dynamics and Continuum Mechanics. Eds. H.Altenbach, H.Irschik, V.Matveenko. pp.53-72, (2019) 53
  • W. Rickert, Anna S. Morozova, Wolfgang H. Müller, Elena N. Vilchevskaya, Besim Ben-Nissan, Innocent J. Macha. Drug Delivery from Polymer-Based Nanopharmaceuticals—Simulations of Selected Diffusion Processes. In Contributions to Advanced Dynamics and Continuum Mechanics. Eds. H.Altenbach, H.Irschik, V.Matveenko. pp.206-227, (2019). DOI: 10.1007/978-3-030-21251-3_12
  • Wilhelm Rickert, Elena N. Vilchevskaya, and Wolfgang H. Müller A note on Couette flow of micropolar fluids according to Eringen’s theory. Mathematics and Mechanics of Complex Systems. Vol. 7 (2019), No. 1, 25–50 DOI: 10.2140/memocs.2019.7.25
  • Mariia Fomicheva, Elena N.Vilchevskaya, Wolfgang H. Müller, Nikolay Bessonov. Milling matter in a crusher: modeling based on extended micropolar theory. April 2019 Continuum Mechanics and Thermodynamics 31, р. 1559-1570 DOI: 10.1007/s00161-019-00772-4
  • Aleksei A. Sokolov, Anton M. Krivtsov, Wolfgang H. Müller, and Elena N. Vilchevskaya. Change of entropy for the one-dimensional ballistic heat equation: Sinusoidal initial perturbation. Phys. Rev. E 99, Vol. 99, Iss. 4 – Published 4 April 2019. DOI: 10.1103/PhysRevE.99.042107
  • Ksenia P. Frolova, Elena N. Vilchevskaya, Svetlana M. Bauer, Wolfgang Mueller. Determination of the shear viscosity of the sclera. ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik. March 2019. DOI: 10.1002/zamm.201800156
  • Ksenia Frolova, Elena Vilchevskaya, Vladimir Polyanskiy, Ekaterina Alekseeva. Modelling of a Hydrogen Saturated Layer Within the Micropolar Approach. In Dr. Bilen Emek Abali, Prof. Dr. Holm Altenbach, Prof. Dr. Francesco dell'Isola, Prof. Dr. Victor A. Eremeyev, Prof. Dr. Andreas Öchsner (eds). New Achievements in Continuum Mechanics and Thermodynamics, 2019, DOI: 10.1007/978-3-030-13307-8_9
  • Innocent J. Macha, Besim Ben-Nissan, Elena N. Vilchevskaya, Anna S. Morozova, Bilen Emek Abali, Wolfgang H. Müller * and W. Rickert. Drug Delivery From Polymer-Based Nanopharmaceuticals—An Experimental Study Complemented by Simulations of Selected Diffusion Processes. Frontiers in Bioengineering and Biotechnology., 08 March 2019.
  • Anna S. Morozova, Elena N. Vilchevskaya, Wolfgang H. Müller, Nikolay M. Bessonov. Interrelation of Heat Propagation and Angular Velocity in Micropolar Media. In Holm Altenbach, Alexander Belyaev, Victor A. Eremeyev, Anton Krivtsov, Alexey V. Porubov (eds), Dynamical Processes in Generalized Continua and Structures. Springer, 2019 p.413-425 DOI: 10.1007/978-3-030-11665-1_23
  • E Vilchevskaya, V Levin, S Seyedkavoosi, I Sevostianov. Replacement relations for a viscoelastic material containing multiple inhomogeneities. International Journal of Engineering Science (2019) 136, p. 26-37
  • Григорьева П.М., Вильчевская Е.Н. Влияние выбора модели диффузии на кинетику химической реакции. Diagnostics, Resource and Mechanics of Materials and Structures. 2018. № 6. С. 59-82. DOI: 10.17804/2410-9908.2018.6.059-082
  • A. Seyedkavoosi , Elena Vilchevskaya , I. Sevostianov , Randomly Oriented Cracks in a Transversely Isotropic Material, International Journal of Solids and Structures № 150, (2018), р. 222–229, doi 10.1016/j.ijsolstr.2018.06.013
  • Elena N. Vilchevskaya, Wolfgang H. M¨uller. Some remarks on recent developments in micropolar continuum theory. Journal of Physics Conference Series 991(1):012079, April 2018. DOI10.1088/1742-6596/991/1/012079
  • Müller W.H., Vilchevskaya E.N. (2018) Micropolar Theory with Production of Rotational Inertia: A Rational Mechanics Approach. In: Altenbach H., Pouget J., Rousseau M., Collet B., Michelitsch T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham
  • Polina Grigoreva, Elena N. Vilchevskaya, Wolfgang H. M¨uller Modeling stress-affected chemical reactions in solids–A rational mechanics approach. In Advances in Mechanics of Microstructured Media and Structures, Francesco dell'Isola, Victor A. Eremeyev, Alexey V. Porubov (Eds). Series Advanced Structured Materials, Vol.87, Springer, Cham, 2018. 346p. ISBN 978-3-319-73694-5
  • Muller W.H., Vilchevskaya E.N. Micropolar media with structural transformations – Theory and an example problem. Materials Physics and Mechanics (2017) 32(3) p. 243-252
  • Elena A. Ivanova, Elena N. Vilchevskaya. Truesdell's and Zhilin's approaches, Derivation of Constitutive equations. Encyclopedia of Continuum Mechanics, edited by Holm Altenbach and Andreas Öchsner. (2017), doi:10.1007/978-3-662-53605-6_58-1
  • Muller W.H., Vilchevskaya E.N. Micropolar theory from the viewpoint of mesoscopic and mixture theories. Physical Mesomechanics, 2017, Vol. 20 No 3 pp 263-279, Физическая мезомеханика 20 3 2017 p.25-39
  • Muller W.H., Vilchevskaya E.N., Weiss W. Micropolar theory with production of rotational inertia: A farewell to material description. Physical Mesomechanics, 2017, Vol. 20 No 3 pp 250-262. Физическая мезомеханика 20 3 2017 p.13-24
  • Alexander B. Freidin, Igor K. Korolev, Sergey P. Aleshchenko, Elena N. Vilchevskaya. Chemical affinity tensor and chemical reaction front propagation: theory and FE-simulations. International Journal of Fracture, (2016), December 2016, Volume 202, Issue 2, pp 245–259, DOI 10.1007/s10704-016-0155-1
  • Elena A. Ivanova, Elena N. Vilchevskaya. Micropolar continuum in spatial description. Continuum Mechanics and Thermodynamics, (2016), 1-22 DOI 10.1007/s00161-016-0508-z
  • Elena A. Ivanova, Elena N. Vilchevskaya, Wolfgang H.Muller. Time Derivatives in Material and Spatial Description—What Are the Differences and Why Do They Concern Us? In book: Advanced Methods of Continuum Mechanics for Materials and Structures, (2016), pp.3-28
  • Wolfgang H.Muller, Elena N.Vilchevskaya. A Closed-Form Solution for a Linear Viscoelastic Self-gravitating Sphere. In book: Advanced Methods of Continuum Mechanics for Materials and Structures, (2016), pp.79-101
  • Olga V. Brazgina, Elena A. Ivanova, Elena N. Vilchevskaya. Saturated porous continua in the frame of hybrid description. Continuum Mechanics and Thermodynamics (2016)
  • Elena Vilchevskaya, Igor Sevostianov. Overall thermal conductivity of a fiber reinforced composite with partially debonded inhomogeneities. International Journal of Engineering Science 98,01/2016, p 99-109
  • A. Freidin, N. Morozov, S. Petrenko, E. Vilchevskaya. Chemical reactions in spherically symmetric problems of mechanochemistry. Acta Mechanica (2015), 226 (9)
  • Elena Vilchevskaya, Igor Sevostianov. Effective elastic properties of a particulate composite with transversely-isotropic matrix. International Journal of Engineering Science 94 (2015) 139–149
  • R A Filippov, A B Freidin, I V Hussainova, E N Vil’chevskaya. Critical Radius of Zirconia Inclusions in Transformation Toughening of Ceramics. Physical Mesomechanics 01/2015; 18(17 2):55-64.
  • A.B. Freidin, E.N. Vilchevskaya, I.K. Korolev. Stress-assist chemical reactions front propagation in deformable solids. International Journal of Engineering Science 10/2014; 83.
  • A. B. Freidin, R. A. Filippov, I. Hussainova, E. N. Vilchevskaya. Critical radius of zirconia inclusions for the effect of transformation toughening in ceramics (in Russian). Physical Mesomechanics 01/2014; 17(2):55- 64.
  • Vilchevskaya, E.N., Filippov, R.A., Freidin, A.B. On transient layers as new phase domains in composite materials. // Mechanics of Solids, 2013, 48 (1) , pp. 92-118 [1]
  • Elena N. Vilchevskaya, Elena A. Ivanova, Holm Altenbach. Description of liquid-gas phase transition in the frame of continuum mechanics. // Continuum Mech. Thermodyn. April, 2013 [2]
  • Ivanova, E., Vilchevskaya, E.: Description of thermal and micro-structural processes in generalized continua: Zhilin’s method and its modifications. In: Altenbach, H., Forest, S., Krivtsov, A.M. (eds.) Generalized Continua as Models for Materials, pp. 179–197. Springer, Berlin, Heidelberg (2013)
  • E.N. Vilchevskaya, A.B. Freidin, On kinetics of chemical reaction fronts in elastic solids. // Surface Effects in Solid Mechanics, H. Altenbach and N. F. Morozov (eds.), Advanced Structured Materials. 2013. V.30. Springer-Verlag Berlin Heidelberg. P. 105-117. [3]
  • Freidin, A.B., Filippov, R.A., Hussainova, I., Vilchevskaya, E.N. Critical radius in the effect of strains formation toughening of zirconia doped ceramics and cermets. // Key Engineering Materials, 2012 527 , pp. 68-73 [4]
  • R.A. Filippov, A.B. Freidin, E.N. Vilchevskaya. On new phase intermediate layers in nanocomposites as a source of increasing the elastic moduli// Nanosystems: Physics, Chemistry, Mathematics. (2011) 2(2), p. 107-118. [5]
  • E.N. Vilchevskaya, A.B. Freidin, I.K. Korolev. On Phase Transitions in a Domain of Material Inhomogeneity. II. Interaction of a Crack with an Inclusion Experiencing a Phase Transition// Mechanics of Solids. (2011) No. 5, p. 683-691. [6]
  • A.B. Freidin, E.N. Vilchevskaya. Multiple development of new phase inclusions in elastic solids// International Journal of Engineering Science (2009) 47 p. 240 - 260. [7]
  • E.N.Vilchevskaya, A.B.Freidin. On phase transformations in a material inhomogeneity. P.1. A phase-transforming inclusion in a uniform external field// Izvestia RAN, Mekhanika Tverdogo Tela (2007) 5, p.208 - 228. (Mechanics of Solids 42, № 5, p.823-840) [8]
  • A.B.Freidin, Y.B.Fu, L.L.Sharipova, E.N.Vilchevskaya. Shperically symmetric two-phase deformations and phase transition zones// International Journal of Solids and Structures, (2006) 43, p.4484 - 4508. [9]
  • E.N. Vilchevskaya, A.B. Freidin. Multiple appearances of new phase ellipsoidal nuclei // Doklady Akademii Nauk, (2006) 411, № 6, p.770 - 774, (Doklady Physics v.51, 12, p.692-696). [10]


  • Theoretical mechanics
  • Tensor calculus
  • Mechanics of Continua
  • Micromechanics of Heterogeneous Media
  • Thermodynamics


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