Elena A. Ivanova St. Petersburg State Polytechnical University

Selected publications

Fundamentals of continuum mechanics

• Vilchevskaya E.N., Ivanova E.A. The reduced equation of energy balance — an alternative approach. Appendix to the book: Zhilin P.A. Rational Continuum Mechanics. St. Petersburg.: Publishing House of the Polytechnic. University Press, 2012. 584 p. (P. 476-485) (In Russian) (192 Kb)
• Ivanova E.A. Zhilin's method and Truesdell's method — a comparative analysis. Appendix to the book: Zhilin P.A. Rational Continuum Mechanics. St. Petersburg.: Publishing House of the Polytechnic. University Press, 2012. 584 p. (P. 486-495) (In Russian) (196 Kb)
• Ivanova E.A., Krivtsov A.M. Material strain tensor. Appendix to the book: Zhilin P.A. Rational Continuum Mechanics. St. Petersburg.: Publishing House of the Polytechnic. University Press, 2012. 584 p. (P. 496-505) (In Russian) (212 Kb)
• Ivanova E.A., Vilchevskaya E.N. Description of thermal and micro-structural processes in generalized continua: Zhilin's method and its modifications. // Generalized Continua as Models for Materials with Multi-scale Effects or Under Multi-field Actions (Ed. H. Altenbach, S. Forest, A.M. Krivtsov). Berlin: Springer, 2013. P. 179-197. (268 Kb)
• Zhilin P.A. Altenbach H., Ivanova E.A., Krivtsov A.M. Material strain tensor. // Generalized Continua as Models for Materials with Multi-scale Effects or Under Multi-field Actions (Ed. H. Altenbach, S. Forest, A.M. Krivtsov). Berlin: Springer, 2013. P. 321-331. (220 Kb)

Thermodynamics, thermoelasticity and thermoviscoelasticity

• Ivanova E.A. On one approach to formulation of the coupled problem of thermoelasticity with the hyperbolic type heat conduction equation. Fifth Polykhov's reading. Selected Works of Int. Conf. on Mechanics. St. Petersburg. 2009. P. 301-306. (In Russian) (376 Kb)
• Ivanova E.A. Derivation of theory of thermoviscoelasticity by means of two-component medium. Acta Mechanica. 2010. Vol. 61, Issue 1. P. 261-286. (184 Kb)
• Ivanova E.A. On one model of generalised continuum and its thermodynamical interpretation. Mechanics of generalized Continua (Ed. H. Altenbach, G.A. Maugin, V. Erofeev). Berlin: Springer, 2011. P. 151-174. (400 Kb)
• Ivanova E.A. Derivation of theory of thermoviscoelasticity by means of two-component Cosserat continuum. Technische Mechanik. 2012. Vol. 32, Issue 2–5. P. 273–286. (128 Kb)
• Ivanova E.A. Modeling of thermoelastic processes in three-dimensional media and shells by means of the Cosserat continuum with micristructure. Radio electronics. Nanosystems. Information technology. 2013. Vol. 5. N 1. P. 98-110. (In Russian) (1374 Kb)
• Babenkov M.B., Ivanova E.A. Analysis of the wave propagation processes in heat transfer problems of the hyperbolic type. Continuum Mech. Thermodyn. Published on-line: 11 August 2013. DOI 10.1007/s00161-013-0315-8. (824 Kb)
• Ivanova E.A. Description of mechanism of thermal conduction and internal damping by means of two component Cosserat continuum. Acta Mechanica. Published on-line: 27 September 2013. DOI 10.1007/s00707-013-0934-y. (280 Kb)

Electro- and magnetoelasticity

• Ivanova E.A., Kolpakov Ya.E. The Cosserat continuum and piezoelectricity. Appendix to the book: Zhilin P.A. Rational Continuum Mechanics. St. Petersburg.: Publishing House of the Polytechnic. University Press, 2012. 584 p. (P. 506-531) (In Russian) (284 Kb)
• Grekova E.F., Ivanova E.A. The Kelvin medium and ferromagnetism. Appendix to the book: Zhilin P.A. Rational Continuum Mechanics. St. Petersburg.: Publishing House of the Polytechnic. University Press, 2012. 584 p. (P. 532-564) (In Russian) (304 Kb)
• Ivanova E.A., Kolpakov Ya.E. The use of moment theory to describe the piezoelectric effect in polar and non-polar materials. Generalized Continua as Models for Materials with Multi-scale Effects or Under Multi-field Actions (Ed. H. Altenbach, S. Forest, A.M. Krivtsov). 2013. Berlin: Springer. P. 163-178. (276 Kb)
• Ivanova E.A., Kolpakov Ya.E. Description of the piezoelectric effect in polar materials by means of the moment theory. Prikladnaya mekhanika itekhnicheskaya fizika. 2013. Vol. 54. N 6. 15 p. (In Russian)

Phase and structural transitions

• Vilchevskaya E.N., Ivanova E.A., Altenbach H. Description of liquid-gas phase transition in the frame of continuum mechanics. // Continuum Mech. Thermodyn. Published on-line: 23 April 2013. DOI 10.1007/s00161-013-0298-5. (572 Kb)

Experimental methods of determination of mechanical characteristics of micro- and nanoobjects

• Ivanova E.A., Morozov N.F. An approach to the experimental determination of the bending stiffness of nanosize shells. // Doklady Physics. 2005. Vol. 50, N 2. P. 83-87. (197 Kb)
• Ivanova E.A., Morozov N.F., Semenov B.N., Firsova A.D. On determination of elastic modula of nanostructures: theory calculations and experimental method. // Izvestiya RAN. Mekhanika Tverdogo Tela. 2005. N 4. P. 75-85. (In Russian) (194 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F., Solov'ev A.N. On the determination of eigenfrequencies for nanometer-size objects. // Doklady Physics. 2006. Vol. 51, N 2. P. 93-97. (267 Kb)
• Ivanova E.A., Indeitsev D.A., Morozov N.F. On the determination of the rigidity parameters of nanoobjects. // Technical Physics. 2006. V. 51, issue 10. P. 1327-1333. (65 Kb)
• Ivanova E.A., Indeitsev D.A., Morozov N.F. On the determination of rigidity parameters for nanoobjects. // Doklady Physics. 2006. Vol. 51, N 10. P. 569-573. (245 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F., Solov'ev A.N. Method of determining of eigenfrequencies of an ordered system of nanoobjects. // Technical Physics. 2007. V. 52, No 1. P. 1-6. (248 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F., Strochkov S.E. Natural Vibrations of Nanotubes. // Doklady Physics. 2007, Vol. 52, N. 8. P. 431-435. (249 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F., Strochkov S.E. The Spectrum of Natural Oscillations of an Array of Micro- or Nanospheres on an Elastic Substrate. // Doklady Physics. 2007. Vol. 52, N 12. P. 699-702. (514 Kb)
• Ivanova E.A., Morozov N.F. On the determination of the flexural rigidity of nanoshells. // Journal of Mathematical Sciences. 2009. Vol. 162. N 2. P. 205-210. (164 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F. Mechanical Problems in Nanotechnology. // Proceedings of the Saratov University. 2008. Vol. 8. Ser. Mathematics. Mechanics. Informatics. Issue 3. P. 25-32. (In Russian) (296 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F., Strochkov S.E. Natural vibrations in a system of nanotubes. // Journal of Applied Mechanics and Technical Physics. 2008. Vol. 49. N 2. P. 291-300. (320 Kb)
• Eremeyev V.A., Ivanova E.A., Indeitsev D.A. Wave processes in nanostructures formed by nanotube arrays or nanosize crystals. // Journal of Applied Mechanics and Technical Physics. 2010. Vol. 51. N 4. P. 569-578. (476 Kb)
• Eremeyev V.A., Ivanova E.A., Morozov N.F. Some problems of nanomechanics. // Fizicheskaya Mezomekhanika. 2013. Vol. 16. N 4. P. 67-73. (In Russian) (176 Kb)

Biomechanics

• Ivanova E.A., Morozov N.F. On one model of process of disturbance of normal functioning of biological nano-objects. // Ecological Journal of Science Centers of BSEC. 2008. N 1. P. 23-29. (In Russian) (260 Kb)

Mechanical properties of crystal lattices and nanocrystals

• Ivanova E.A., Krivtsov A.M., Morozov N.F. Peculiarities of the bending-stiffness calculation for nanocrystals. // Doklady Physics. 2002. Vol. 47, N 8. P. 620-622. (249 Kb)
• Ivanova E.A., Kirvtsov A.M., Morozov N.F. Bending stiffness calculation for nanosize structures. Fatigue and Fracture of Engineering Materials and Structures, 2003, 26. С. 715-718. (112 Kb)
• Ivanova E.A., Kirvtsov A.M., Morozov N.F., Firsova A.D. Inclusion of the Moment Interaction in the Calculation of the Flexural Rigidity of Nanostructures. // Doklady Physics, 2003. Vol. 48, N 8. P. 455-458. (67 Kb)
• Ivanova E.A., Krivtsov A.M., Morozov N.F., Firsova A.D. Decsription of crystal packing of particles with torque interaction. // Mechanics of Solids. 2003. Vol. 38. N 4. P. 76-88. (2073 Kb)
• Ivanova E.A., Krivtsov A.M., Morozov N.F., Firsova A.D. Theoretical mechanics. Determination of equivalent elastic characteristics of discrete systems. St.Petersburg, SPbSPU. 2004. 32 p. (In Russian) (259 Kb)
• Ivanova E.A., Kirvtsov A.M., Morozov N.F. Macroscopic relations of elasticity for complex crystal latices using moment interaction at microscale. // Applied Mathematics and Mechanics. Vol. 71. N 4, 2007. P. 543-561. (In Russian) (205 Kb)
• Berinskiy I.Е., Ivanova E.A., Kirvtsov A.M., Morozov N.F. Application of moment interactions to the construction of a stable model of graphite crystal lattice. // Mechanics of Solids. 2007. Vol. 42. N 5. P. 663-671. (165 Kb)

Dynamics of molecular systems

• Ivanova E.A., Krivtsov A.M. Energy control for polyatomic molecule. In book "Control of physical and technical systems". Saint-Petersburg. Nauka. 2004. (In Russian) (319 Kb)
• Ivanova E.A., Krivtsov A.M., Zhilin P.A. Description of rotational molecular spectra by means of an approach based on rational mechanics. // ZAMM. Z. Angew. Math. Mech. 87 (2007) N 2. P. 139-149. (135 Kb)

Theoratical foundations of particle and molecular dynamics

• Byzov A.P., Ivanova E.A. Interaction potentials for particles with rotational degrees of freedom. // Modern problems of continuum mechanics. Proc.of IX Int. Conf., devoted to the 85-anniversary from birthday of the academician of RAS I.I. Vorovich, Rostov-on-Don, Oct. 11-15, 2005. V. 2. P. 47-51. (In Russian) (110 Kb)
• Byzov A.P., Ivanova E.A. Mathematical modelling of the moment interactions of particles with rotary degrees of freedom // Scientific and Technical Sheets of St.Petersburg State Technical University. 2007. N 2. P. 260-268. (In Russian) (1306 Kb)

Mechanics of thin-wall constructions

• Zhilin P.A., Ivanova E.A. Modified energy functional for the Reissner theory of plates. // Mechanics of Solids. Vol. 30. No 2. 1995. P. 110-117. (410 Kb)
• Ivanova E.A. Approximate Hamilton functionals for the problems of low-frequency and high-frequency free vibrations of the Reissner plate. // Mechanics of Solids. Vol. 30. No 4. 1995. P. 168-175. (509 Kb)
• Ivanova E.A. Comparative analysis of low-frequency free vibrations of rectangular plates. // Mechanics of Solids. Vol. 32. No 6. 1997. P. 125-134. (541 Kb)
• Ivanova E.A. Asymptotic and numerical analysis of high-frequency free vibrations of rectangular plates. // Mechanics of Solids. Vol. 33. No 2. 1998. P. 139-149. (553 Kb)
• Ivanova E.A. High-frequency free vibrations of plates in the Reissner's type theory. // Shell-like Structures: Non-classical Theories and Applications (Ed. H. Altenbach, V. A. Eremeyev). Berlin: Springer, 2011. P. 153-164.
• Altenbach H., Eremeyev V.A., Ivanova E.A., Morozov N.F. Bending of a three-layer plate with a near-zero transverse shear stiffness. // Fizicheskaya Mezomekhanika. 2012. Vol. 15. N 6. P. 15-19. (In Russian) (152 Kb)
• Eremeyev, V.A., Ivanova, E.A., Altenbach, H., Morozov N.F. On effective stiffness of a three-layered plate with a core filled by a capillary fluid. In: W. Pietraszkiewicz, J.Gorski (eds.) Shell Structures: Theory and Applications, vol. 3. Taylor & Francis, London, 2014, p. 85-88. (76 Kb)

Multybody dynamics

• Ivanova E.A. On one approach to solving the Darboux problem. // Mechanics of Solids. Vol. 35. No 1. 2000. P. 36-43. (407 Kb)
• Ivanova E.A. A New Approach to Solution of some Problems of the Rigid Body Dynamics. // ZAMM. Z. Angew. Math. Mech. 81 (2001). N 9. P. 613-622. (165 Kb)
• Ivanova E.A. Exact solution of a problem of rotation of an axisymmetric rigid body in a linear viscous medium. // Mechanics of Solids. Vol. 36. No 6. 2001. P. 11-24. (900 Kb)
• Ivanova E.A. On the use of a new method of solution of Darboux problem for solution of the problem of motion of a ball on a routh plane. // Proc. of XXVIII Summer School "Nonlinear oscillations in Mechanical Systems. Actual Problems in Mechanics". V. 1. St. Petersburg. 2001. P. 361-367. (106 Kb)
• Ivanova E.A. The rotation of a symmetrical rigid body under the action of superposition of a following moment and a constant moment. // Proc. of the XXIX Summer School "Advanced Problems in Mechanics". St.Petersburg. 2002. P. 348-356. (169 Kb)
• Ivanova E.A. Rotation of rigid body under the action of constant motor moment and friction moment. // Proc. of XXX Summer School "Advanced Problems in Mechanics". St. Petersburg. 2003. P. 292-296. (93 Kb)

Dynamics of ultracentrifuges

• Ivanova E.A. The motion of a rigid body on the inertial elastic plate. A nonlinear formulation of the problem and some effects. // Proc. of the XXIX Summer School "Advanced Problems in Mechanics". St.Petersburg. 2002. P. 339-347. (161 Kb)
• Ivanova E.A., Zhilin P.A. Non-stationary regime of the motion of a rigid body on an elastic plate. // Proc. of the XXIX Summer School "Advanced Problems in Mechanics". St.Petersburg. 2002. P. 357-363. (124 Kb)

Papers, devoted to P.A. Zhilin

• Indeitsev D.A., Ivanova E.A., Krivtsov A.M. "P.A. Zhilin - searching for Thuth". In book: "P.A. Zhilin. Advanced problems in mechanics". St.Petersburg. 2006. V. 2. P. 6-8. (60 Kb)
• Indeitsev D.A., Ivanova E.A., Krivtsov A.M. Short biography and scientific results of P.A. Zhilin. In book: "P.A. Zhilin. Advanced problems in mechanics". St.Petersburg. 2006. V. 2. P. 9-31. (313 Kb)
• Altenbach H., Indeitsev D., Ivanova E., Krivtsov A. “Pavel Andreevich Zhilin (1942 — 2005).” Foreword. ZAMM. Z. Angew. Math. Mech. 87 (2007) N 2. P. 79-80. (76 Kb)
• Ivanova E.A., Indeitsev D.A., Krivtsov A.M. About Pavel Andreevich Zhilin (1942-2005). // Bulletin of the Perm University. Series: Mathematics. Mechanics. Informatics. 2008. N 4. P. 204-206. (In Russian) (244 Kb)
• Indeitsev D.A., Ivanova E.A., Krivtsov A.M., Zhilina N.A. Brief biography of P.A.Zhilin. // Bulletin of the Perm University. Series: Mathematics. Mechanics. Informatics. 2008. N 4. P. 207-208. (In Russian) (144 Kb)
• Altenbach H., Eremeyev V.A., Indeitsev D.A., Ivanova E.A., Krivtsov A.M. On the Contributions of Pavel Andreevich Zhilin to Mechanics. Technische Mechanik. 2009. Band 29. Heft 2. S. 115-134. (863 Kb)
• Grekova E.F., Ivanova E.A., Krivtsov A.M. . Editors' preface to the book: Zhilin P.A. Rational Continuum Mechanics. St. Petersburg.: Publishing House of the Polytechnic. University Press, 2012. 584 p. (P. 12-16). (In Russian) (96 Kb)

To view PDF files you can download free version of Adobe Acrobat Reader.

Guidelines to view the publications