Sergei A. Lychev
D.Sc., Ph.D., M.S.,
Leading Research Scientist at the Laboratory of Mechanics of Technological Processes
Institute for Problems in Mechanics of Russian Academy of Science
IPMech RAS
Russian Russian version | English English version
Sergei Lychev

Born: January 15, 1970

Education and Degrees:

Professional Status:

Scientific interests:

continuum mechanics, elasticity, thermoelasticity, thermoviscoelasticity, micristructure, dissipation, coupled fields, differential operators, spectral decompositions, experimental mechanics

List of selected publications:

2024

  1. S. Lychev, A. Digilov, G. Demin, E. Gusev, I. Kushnarev, N. Djuzhev, V. Bespalov, "Deformations of Single-Crystal Silicon Circular Plate: Theory and Experiment," Symmetry. 16 (2), 137 (2024)
    DOI: 10.3390/sym16020137
    [Journal, PDF]
  2. S. Lychev, A. Digilov, V. Bespalov, N. Djuzhev, "Incompatible Deformations in Hyperelastic Plates," Mathematics. 12 (4), 596 (2024)
    DOI: 10.3390/math12040596
    [Journal, PDF]

2023

  1. Sergei A. Lychev and Montaser Fekry. "Evaluation of residual stresses in additively produced thermoelastic cylinder. Part I. Thermal fields," Mechanics of Advanced Materials and Structures. 30 (10) 1975-1990 (2023)
    DOI: 10.1080/15376494.2022.2048325
    [Journal]
  2. Sergei A. Lychev and Montaser Fekry. "Evaluation of residual stresses in additively produced thermoelastic cylinder. Part II. Residual stresses," Mechanics of Advanced Materials and Structures. 30 (10) 1991-2000 (2023)
    DOI: 10.1080/15376494.2022.2048324
    [Journal]
  3. Sergei A. Lychev and Montaser Fekry. "Residual Stresses in a Thermo-viscoelastic Additively Manufactured Cylinder Subjected to Induction Heating," in Advanced Problem in Mechanics III. APM 2021. Lecture Notes in Mechanical Engineering (Springer, 2023), pp. 208-230.
    DOI: 10.1007/978-3-031-37246-9_17
    [Springer]
  4. S.A. Lychev, K.G. Koifman, N.A. Pivovaroff "Incompatible Deformations in Relativistic Elasticity," Lobachevskii Journal of Mathematics. 44 (6) 2352-2397 (2023)
    DOI: 10.1134/S1995080223060343
    [Journal]

2022

  1. V.P. Epifanov, S.A. Lychev, "Periodicity of the Mechanical Properties of Ice Resulting from the Formation of an Ice Field under Compression," Dokl. Phys. 67 (1), 5-10 (2022)
    DOI: 10.1134/S1028335821120041
    [Springer]
  2. Sergei A. Lychev and Montaser Fekry. "Reducing of Residual Stresses in Metal Parts Produced By SLM Additive Technology with Selective Induction Heating," in Advanced Problem in Mechanics II. APM 2020. Lecture Notes in Mechanical Engineering (Springer, 2022), pp. 175-193.
    DOI: 10.1007/978-3-030-92144-6_14
    [Springer]
  3. Tatiana Lycheva and Sergey Lychev. "The Simulation the Contact Interaction of the Needle and Brain Tissue," in Advanced Problem in Mechanics II. APM 2020. Lecture Notes in Mechanical Engineering (Springer, 2022), pp. 331-349.
    DOI: 10.1007/978-3-030-92144-6_27
    [Springer]
  4. S. Lychev, K. Koifman, D. Bout "Finite Incompatible Deformations in Elastic Solids: Relativistic Approach," Lobachevskii Journal of Mathematics. 43 (7) 1670-1695 (2022)
    DOI: 10.1134/S1995080222100250
    [Journal]

2021

  1. S. Lychev, K. Koifman, N. Djuzhev, "Incompatible Deformations in Additively Fabricated Solids: Discrete and Continuous Approaches," Symmetry. 13 (12), 2331 (2021)
    DOI: 10.3390/sym13122331
    [Journal, PDF]
  2. Sergey A. Lychev, Konstantin Koifman, Anton Petrenko, "Enhanced kinematics in oriented and Cosserat solids with structural inhomogeneity," AIP Conference Proceedings. 2371 (1) 050007 (2021)
    DOI: 10.1063/5.0059879
    [Journal, PDF]
  3. S.A. Lychev, K.G. Koifman, "Contorsion of Material Connection in Growing Solids," Lobachevskii Journal of Mathematics. 42 (8) 1852-1875 (2021)
    DOI: 10.1134/S1995080221080187
    [Journal]

2020

  1. S.A. Lychev, K.G. Koifman, "Material Affine Connections for Growing Solids," Lobachevskii Journal of Mathematics. 41 (10) 2034-2052 (2020)
    DOI: 10.1134/s1995080220100121
    [Journal]
  2. Lycheva T., Lychev S., "Modeling and Optimization of the Shape of Contacting Solids at Finite Deformations," Proceedings of 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) 9140696
    DOI: 10.1109/stab49150.2020.9140696
    [link]
  3. Lychev S., Koifman K., Petrenko A., Bout D., "Modeling and Optimization for Oriented Growing Solids," Proceedings of 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) 9140700
    DOI: 10.1109/stab49150.2020.9140700
    [link]

2019

  1. S. Lychev, K. Koifman. Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics. De Gruyter, 2019. xx+388 p.
    DOI: 10.1515/9783110563214
    ISBN 978-3-11-056201-9
    [Google Books]
  2. S.A. Lychev, G.V. Kostin, K.G. Koifman and T.N. Lycheva, "Non-Euclidean Geometry and Defected Structure for Bodies with Variable Material Composition," J. Phys.: Conf. Ser. Vol. 1250 (2019) 012035
    DOI: 10.1088/1742-6596/1250/1/012035
    [Journal, PDF]
  3. S.A. Lychev, K.G. Koifman, "Geometric Aspects of the Theory of Incompatible Deformations. Part II. Strain and Stress Measures," Nanomechanics Science and Technology: An International Journal. 10 (2), 97-121 (2019)
    DOI: 10.1615/NanoSciTechnolIntJ.2018024573
    [Journal]
  4. S. Lychev, K. Koifman, "Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell," Acta Mech. 230 (11), 3989-4020 (2019)
    DOI: 10.1007/s00707-019-02399-7
    [Journal]
  5. S. Lychev, G. Kostin, K. Koifman, "Optimization of the Stress Intensity in Controlled Evolution of a Continuously Inhomogeneous Solid," IFAC-PapersOnLine. 52 (16) 221-226 (2019)
    DOI: 10.1016/j.ifacol.2019.11.782
    [Journal]

2018

  1. S. Lychev, G. Kostin, K. Koifman, "Evolution of Stresses and Deformations in Hollow Cylinder with Variable Material Composition: Mathematical Modeling and Optimization." IFAC-PapersOnLine Vol. 51, Issue 2, pp. 577-582 (2018)
    DOI: 10.1016/j.ifacol.2018.03.097
    [ScienceDirect]
  2. S.A. Lychev, G.V. Kostin, K.G. Koifman and T.N. Lycheva, "Modeling and Optimization of Layer-by-Layer Structures," J. Phys.: Conf. Ser. Vol. 1009 (2018) 012014
    DOI: 10.1088/1742-6596/1009/1/012014
    [Journal, PDF]

2017

  1. Sergei A. Lychev, "Geometric Aspects of the Theory of Incompatible Deformations in Growing Solids," in Mechanics for Materials and Technologies (Springer Netherlands 2017), pp. 327-347.
    DOI: 10.1007/978-3-319-56050-2_19
    [Springer]
  2. S.A. Lychev and V.V. Klindukhov, "Closed solutions for model problems in generalized thermoelasticity," J. Phys.: Conf. Ser. 788 (1), 012053 (2017)
    DOI: 10.1088/1742-6596/788/1/012053
    [link, PDF]
  3. S. Lychev, H. Altenbach, "Growing Solids and Thin-Walled Structures," Procedia IUTAM. Vol. 23, pp. 13-22 (2017)
    DOI: 10.1016/j.piutam.2017.06.002
    [ScienceDirect]
  4. S. Lychev, P. Bychkov, I. Saifutdinov, "Holographic Interferometry of Thin-walled Structure Distortion During the Stereolithography Process," Procedia IUTAM. Vol. 23, pp. 101-107 (2017)
    DOI: 10.1016/j.piutam.2017.06.009
    [ScienceDirect]
  5. S. Lychev, A. Manzhirov, M. Shatalov, I. Fedotov, "Transient Temperature Fields in Growing Bodies Subject to Discrete and Continuous Growth Regimes," Procedia IUTAM. Vol. 23, pp. 120-129 (2017)
    DOI: 10.1016/j.piutam.2017.06.012
    [ScienceDirect]

2016

  1. Andrei D. Polyanin, Sergei A. Lychev, "Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: Partial survey, classification, new results, and generalizations," Applied Mathematical Modelling. 40 (4), 3298-3324 (2016)
    DOI: 10.1016/j.apm.2015.10.016
    [ScienceDirect]
  2. S.A. Lychev, K.G. Koifman, "Geometric Aspects of the Theory of Incompatible Deformations. Part I. Uniform Configurations," Nanomechanics Science and Technology: An International Journal. 7 (3), 177-233 (2016)
    DOI: 10.1615/NanomechanicsSciTechnolIntJ.v7.i3.10
    [Journal]

2015

  1. S. Lychev and T. Lycheva, "Theoretical and experimental study of thin-walled growing laminated structures," in PCM-CMM-2015 – 3rd Polish Congress of Mechanics & 21st International Conference on Computer Methods in Mechanics. Book of Short Papers. Vol. 2. Ed. by M. Kleiber et al. (Drukarnia WIB Piotr Winczewski, Gdansk, 2015), pp. 923-924.
    [site, PDF]
  2. Alexander L. Levitin and Sergei A. Lychev, "Transient Problem for a Accreted Thermoelastic Block," in Transactions on Engineering Technologies: World Congress on Engineering 2014 (Springer Netherlands 2015), pp. 67-83.
    DOI: 10.1007/978-94-017-9804-4_5
    [Springer]
  3. Alexander V. Manzhirov and Sergei A. Lychev, "An Approach to Modeling of Additive Manufacturing Technologies," in Transactions on Engineering Technologies: World Congress on Engineering 2014 (Springer Netherlands 2015), pp. 99-115.
    DOI: 10.1007/978-94-017-9804-4_7
    [Springer]
  4. Sergei A. Lychev, Alexander V. Manzhirov, and Pavel S. Bychkov, "Discrete and Continuous Growth of Deformable Cylinder," in Transactions on Engineering Technologies: World Congress on Engineering 2014 (Springer Netherlands 2015), pp. 239-254.
    DOI: 10.1007/978-94-017-9804-4_17
    [Springer]

2014

  1. A.D. Polyanin and S.A. Lychev, "Various decomposition techniques for linear equations of continuum mechanics," Dokl. Phys. 59 (10), 487-490 (2014)
    DOI: 10.1134/S1028335814100152
    [link]
  2. A.D. Polyanin and S.A. Lychev, "Various representations of the solutions of systems of equations of continuum mechanics," Dokl. Phys. 59 (3), 148-152 (2014)
    DOI: 10.1134/S1028335814030069
    [link]
  3. S. Lychev, "Equilibrium equations for transversely accreted shells," ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift fur Angewandte Mathematik und Mechanik. 94 (1-2), 118-129 (2014)
    DOI: 10.1002/zamm.201200231
    [link]
  4. Alexander V. Manzhirov and Sergei A. Lychev, "Mathematical modeling of additive manufacturing technologies," Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2014, 2-4 July, 2014, London, U.K. - WCE, 2014, pp. 1404
    [link, PDF]
  5. Sergei A. Lychev and Alexander V. Manzhirov, "Discrete and continuous growth of hollow cylinder. Finite deformations," Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2014, 2-4 July, 2014, London, U.K. - WCE, 2014, pp. 1327-1332.
    [link, PDF]
  6. Alexander L. Levitin, Sergei A. Lychev, and Iusup N. Saifutdinov, "Transient dynamical problem for a accreted thermoelastic parallelepiped," Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2014, 2-4 July, 2014, London, U.K. - WCE, 2014, pp. 1196-1201.
    [link, PDF]

2013

  1. Lychev S. and Lycheva T., "Equations of motion for growing shells," Shell Structures: Theory and Applications - Proceedings of the 10th SSTA 2013 Conference Vol. 3. London: CRC Press. 2013. P. 125-128.
    [link]
  2. S.A. Lychev and A.V. Manzhirov, "The mathematical theory of growing bodies. Finite deformations," J. Appl. Math. Mech. 77 (4), 421-432 (2013)
    DOI: 10.1016/j.jappmathmech.2013.11.011
    [J. Appl. Math. Mech., ScienceDirect]
  3. S.A. Lychev and A.V. Manzhirov, "Reference Configurations of Growing Bodies," Mech. Solids. 48 (5), 553-560 (2013)
    DOI: 10.3103/S0025654413050117
    [Mech. Solids, Springer]
  4. A.V. Manzhirov "Nonlinear Models of Growing Solids," Proceedings of the Indian National Science Academy. 79 (4A), 529-545 (2013)
    DOI: 10.16943/ptinsa/2013/v79i4/47989
    [link, PDF]
  5. Manzhirov A.V., Lychev S.A., and Gupta N.K. "Geometrical Language in the Theory of Growing Solids." In "Topical Problems in Theoretical and Applied Mechanics." Eds N.K. Gupta, A.V. Manzhirov, R. Velmurugan. Delhi: Elit Publ. House Pvt Ltd. 2013. P. 1-23.

2012

  1. A.L. Levitin, S.A. Lychev, A.V. Manzhirov, and M.Yu. Shatalov, "Nonstationary Vibrations of a Discretely Accreted Thermoelastic Parallelepiped," Mech. Solids. 47 (6), 677-689 (2012)
    DOI: 10.3103/S0025654412060106
    [Mech. Solids, Springer]
  2. A.V. Manzhirov and S.A. Lychev, "The mathematical theory of growing solids: Finite deformations," Dokl. Phys. 57 (4), pp 160-163 (2012)
    DOI: 10.1134/S1028335812040015
    [link]

2011

  1. S.A. Lychev, "Universal Deformations of Growing Solids," Mech. Solids. 46 (6), 863-876 (2011)
    DOI: 10.3103/S0025654411060069
    [Mech. Solids, Springer]
  2. S.A. Lychev, T.N. Lycheva, and A.V. Manzhirov, "Unsteady Vibration of a Growing Circular Plate," Mech. Solids. 46 (2), 325-333 (2011)
    DOI: 10.3103/S002565441102021X
    [Mech. Solids, Springer]
  3. Lychev S.A. and Manzhirov A.V. "Residual Stresses in Growing Bodies," in "Topical Problems in Solid and Fluid Mechanics," Eds A.V. Manzhirov, N.K. Gupta, D.A. Indeitsev. Delhi: Elit Publ. House Pvt Ltd. 2011. Pp. 66-79
  4. Manzhirov A.V. and Lychev S.A. "On the Equilibrium of Accreted Plates," in "Topical Problems in Solid and Fluid Mechanics." Eds A.V. Manzhirov, N.K. Gupta, D.A. Indeitsev. Delhi: Elit Publ. House Pvt Ltd. 2011. Pp. 294-300

2010

  1. S.A. Lychev, A.V. Manzhirov, and S.V. Joubert, "Closed Solutions of Boundary-Value Problems of Coupled Thermoelasticity," Mech. Solids. 45 (4), 610-623 (2010)
    DOI: 10.3103/S0025654410040102
    [Mech. Solids, Springer]
  2. Alexander V. Manzhirov and Sergey A. Lychev. Finite deformations of accreted solids. Proceedings of XXXVIII Summer School-Conference APM2010. St. Petersburg, 2010. Pp. 444-452
    [site, PDF]

2009

  1. S.A. Lychev and A.V. Manzhirov, "Differential operators associated with the equations of motion and nondissipative heat conduction in the Green-Naghdi theory of thermoelasticity," J. Phys.: Conf. Ser. 181 (1), 012096 (2009)
    DOI: 10.1088/1742-6596/181/1/012096
    [link, PDF]
  2. A.V. Manzhirov and S.A. Lychev, "Mathematical modeling of growth processes in nature and engineering: A variational approach," J. Phys.: Conf. Ser. 181 (1), 012018 (2009)
    DOI: 10.1088/1742-6596/181/1/012018
    [link, PDF]
  3. S.A. Lychev and V.A. Kovalev. Nonstationary vibrations of 3-layered thermoviscoelastic thin-walled structures. Proceedings of XXXVII Summer School-Conference APM2010. St. Petersburg, 2009. Pp. 380-388

2008

  1. S.A. Lychev, "Coupled dynamic thermoviscoelasticity problem," Mech. Solids. 43 (5), 769-784 (2008)
    DOI: 10.3103/S0025654408050129
    [Mech. Solids, Springer]

1999

  1. Yu.E. Senitskii and S.A. Lychev, "Determination of the norm of kernels of integral transformations and their application," Russian Mathematics (Izvestiya VUZ. Matematika). 43 (8), 56-65 (1999)
    [link]

E-mail: lychevsa[at]mail.ru
Web: https://ipmnet.ru/~lychev/en/
ResearcherID profile:  www.researcherid.com/rid/P-6023-2014
Scopus profile: www.scopus.com/authid/detail.url?authorId=35422213200
ResearchGate profile: www.researchgate.net/profile/Serge_Lychev/
Google Scholar profile: scholar.google.ru/citations?user=Vyzmj7cAAAAJ
Page last updated: 17 February 2024