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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).
Scientific Secretary
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]

  • 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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