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Институт Проблем Машиноведения РАН ( ИПМаш РАН ) Институт Проблем Машиноведения РАН ( ИПМаш РАН )

Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
A.B. Freidin

A.B. Freidin - Head of Department - Laboratory of Mathematical Methods in Mechanics of Materials

A.B. Freidin
Position :
Head of Department , Principal Researcher
Academic title :
Senior Researcher
Academic degree :
Doctor of Physical and Mathematical Sciences
199178 Russia, St. Petersburg, V. O., Bolshoy Pr., 61
Research interests :
Mechanics of Solids
Professional activity :

Current Positions

1999 - Present Head of the Laboratory of Mathematical Methods in Mechanics of Materials, IPME RAS
2001 - Present Professor of the Department of Mathematics and Mechanics,
St. Petersburg State University
2002 - Present Professor of the Department of Mechanics and Control,
Peter the Great St. Petersburg Polytechnic University

Academic Degrees

  • Doctor of Sciences, Physics and Mathematics, 1997
    Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences. St. Petersburg, Russia
    Thesis: Phase Transition Zones and Phase Equilibrium in Elastic Solids under the Process of Deformation
  • Ph.D., Physics and Mathematics, 1987
    Moscow Physical and Technical Institute. Moscow, Dolgoprudny, Russia
    Thesis: Crazes and Shear Deformation of Glassy Polymers and ABS-composites
  • M.Sc., Mechanical Engineering, 1976
    Leningrad Polytechnic Institute (now St. Petersburg State Polytechnical University)
    Department of Physics and Mechanics

Membership in Professional Societies

Member of Russian National Committee on Theoretical and Applied Mechanics

Member of Editorial Boards

  • Continuum Mechanics and Thermodynamics
  • Materials Physics and Mechanics

Scientific Advisory Board

Journal of Theoretical Computational and Applied Mechanics (JTCAM)
Open access journal: free for readers and authors

Grants and Projects

  • Thermodynamics and kinetics of structural transformations and damage accumulation in processes of deformation and fracture of multicomponent solids, 2014 - present (Project of IPME RAS, project leader)
  • Elaboration of models for the description of propagating phase and chemical transformations fronts in interconnection with the processes of deformation and fracture of construction elements in microengineering applications 2019 - 2023 (Russian Science Foundation, № 19-19-00552, project leader)
  • Mechanochemistry of advanced anode designs in Li-ion batteries , 2018 - 2020 (Russian Foundation for Basic Research-DFG (Germany), № 17-51-12055, project leader)
  • Problems of mechanics of phase and chemical transformations in homogeneous and composite materials, 2016 - 2018 (Russian Foundation for Basic Research, № 16-01-00815, project leader)
  • Statement and solution of coupled mechanochemistry problems, 2013 - 2015 (Russian Foundation for Basic Research, № 13-01-00687, project leader)
  • Fracture of the contact surfaces of ceramic tribosystems 2013-2015 (Russian Foundation for Basic Research, № 13-08-00553, team member)
  • Kinetics of phase and chemical transformations in deformable materials, 2010 - 2012 (Russian Foundation for Basic Research, № 10-01-00670, project leader)
  • Modelling the influence of mechanical factors on growth and fracture of bones, 2009-2011 (Russian Foundation for Basic Research, № 09-01-00849, team member)
  • New phase areas nucleation and development under thermal and load action on deformable solids, 2007-2009 (Russian Foundation for Basic Research, № 07-01-00525, project leader)
  • Modeling the effects of mechanics and chemistry on material damage and failure, 2006-2012 (Sandia National Laboratories, Contract 499338, project leader)
  • Influence of phase transformations on deformation, stability and fracture of elastic solids,. 2004-2006 (Russian Foundation for Basic Research, № 04-01-00431, project leader)
  • Theoretical and experimental studies of damage in relation with defects and phase transformations, 2003-2007 (Fundamental Research Program of RAS, project leader)
  • Mechanics of phase and structure transformations in multi-phase deformable medium, 2003-2007 (Fundamental Research Program of RAS, team leader)
  • Equilibrium and stability of two-phase deformations in nonlinear elastic solids within the framework of phase transition zones, 2004-2005 (INTAS Young Scientist Fellowship, NIS supervisor)
  • Mechanics of phase and structural transitions in multi-component deformable medium, 2002-2004 (Russian Ministry of Industry and Sciences, № 40.010.1 1.1195, project coordinator)
  • Phase transitions under static and dynamic loading of solids, 2002 - 2004 (Russian Foundation for Basic Research, № 01-01-00324, project leader)
  • Stress-induced phase transformations and stability of multi-phase states, 2002-2003 (The Royal Society Joint Project Grant, with Prof. Y. Fu, University of Keele, UK)
  • Phase transition zones and phase boundaries evolution under the process of deformation and fracture of solids, 1998 - 2000 (Russian Foundation for Basic Research, № 98-01-01054, project leader)
  • Integration Grants 2003, 2004 (team leader)
  • Deformations and stresses in hollow polymer particles on the stage of swelling. 2001 (project leader)
Teaching activities :

Peter the Great St. Petersburg Polytechnic University, St. Petersburg University

Teaching Courses

  • Nonlinear mechanics of deformable solids
  • Fracture mechanics
  • Theory of plasticity
  • Special courses: Eshelby problem in mechanics of materials, Phase interfaces and chemical reaction fronts within the configurational forces mechanics
  • Head of the International Master's Degree Program "Continuum Mechanics: Fundamentals and Applications" at Peter the Great St. Petersburg Polytechnic University

Lectures in foreign universities

  • "Introduction to mechanics of moving interfaces: stress-affected chemical reactions".
    Ecole Polytechnique, Laboratoire de Mécanique des Solides, Paris, France, February 2020
  • "Elements of tensor calculus with examples from linear elasticity. Introduction to mechanics of fracture".
    Beijin University of Civil Engineering anf Architecture (BUCEA), China, December 2019
  • Lectures at Summer Schools on mathematics and mechanics in Beijing University of Civil Engineering and Architecture (BUCEA) in 2017, 2018 and 2019.
  • "Introduction to Mechanics of Fracture".
    Beijin University of Civil Engineering anf Architecture (BUCEA), China, October 2018
  • Course of lectures "Advanced mechanics and thermodynamics of continuum with applications to stress-induced phase transitions and mechanochemistry".
    Technische Universität Berlin (TU Berlin), Germany, April – May 2018 (ERASMUS program).
  • Distinguished Professor of Beijing University of Civil Engineering and Architecture. Beijing Oversea Talents Center (since 2018)
  • Courses of lectures for PhD students ""Introduction to mechanics of moving interfaces and chemical reactions fronts".
    Otto-von-Guericke Universität, Magdeburg, Germany, January 2016
  • "Eshelby problem in micromechanics of materials".
    Otto-von-Guericke Universität, Magdeburg, Germany, October-November 2011



  1. Freidin A.B. The Eshelby Problem. Textbook. Saint-Petersburg: POLYTECH-PRESS (Peter the Great St. Petersburg Polytechnic University). 2022. 150 p. DOI: 10.18720/SPBPU/2/id22-26
  2. Freidin A.B. Mechanics of Fracture. Eshelby Problem. Saint-Petersburg. Polytechnical University Press. 2010. 238 p. (In Russian) . DOI: 10.18720/SPBPU/2/si20-805

Selected papers

  1. Kabanova P.K., Morozov A., Freidin A.B., Chudnovsky A. Numerical simulations of interface propagation in elastic solids with stress concentrators. In: Altenbach H., Bruno G., Eremeyev V.A. Gutkin M.Y., Müller W.H. (eds) Mechanics of Heterogeneous Materials. Advanced Structured Materials. Springer, Cham. Vol. 195. August 2023.
  2. Morozov, A., Freidin, A.B., Müller, W.H. (2023) On stress-affected propagation and stability of chemical reaction fronts in solids. International Journal of Engineering Science. 189:103876. DOI: 10.1016/j.ijengsci.2023.103876
  3. Freidin, A.B., Sharipova, L.L. (2023) On the Influence of Poiison’s Ratio on Phase Transformations Limiting Surfaces. In: Altenbach H., Berezovski A., dell'Isola F., Porubov A. (eds) Sixty Shades of Generalized Continua. Advanced Structured Materials. Springer, Cham. 170:235-256. DOI: 10.1007/978-3-031-26186-2_15
  4. Kabanova, P.K., Freidin, A.B. (2023) Numerical investigation of the evolution of new phase domains in an elastic solid. Computational Continuum Mechanics, 15(4), 466–479. DOI: 10.7242/1999-6691/2022.15.4.36
  5. Petrenko S., Freidin A.B., Charkaluk E. (2022) On chemical reaction planar fronts in an elastic-viscoelastic mechanical framework. Continuum Mechanics and Thermodynamics. 34(1):137-163. DOI: 10.1007/s00161-021-01051-x.
  6. Freidin, A.B. (2022) On Configurational Forces in the Mechanics of Phase and Chemical Transformations. Mechanics of Solids, 57(8):2020-2029. DOI: 10.3103/S0025654422080131
  7. Freidin A.B., Sharipova L.L., Cherkaev A.V. (2021) On equilibrium two-phase microstructures at plane strain Acta Mechanica 232:2005-2021. DOI: 10.1007/s00707-020-02905-2
  8. V.O. Shtegman, A.V. Morozov, A.B. Freidin, W.H. Muller (2021) On buckling induced by a chemical reaction. Materials Physics and Mechanics. 47;40-5 1. DOI: 10.18149/MPM.4712021_4
  9. Freidin A.B., Morozov A., Muller W.H. (2021) Propagation and stability of chemical reaction fronts in coupled problems of mechanochemistry. AIP Conference Proceeding 2371:020002. DOI: 10.1063/5.0059711
  10. V. Shtegman, A. Morozov, A. Freidin, and W.H. Müller (2021) Electromigration and Stress Affected Kinetics of IMC Growth of Binary Cu-Sn Couple AIP Conference Proceeding 2371:030007. DOI: 10.1063/5.0059609
  11. Y. Izmaylova, A. Freidin (2021) Modeling Surface Growth of Bone Tissue. AIP Conference Proceeding 2371:060002. DOI: 10.1063/5.0059595
  12. Freidin A.B., Vilchevskaya E.N. (2020) Chemical affinity tensor in coupled problems of mechanochemistry. In: Encyclopedia of Continuum Mechanics. Altenbach H., ¨Ochsner A. (eds), Springer, Berlin, Heidelberg. DOI:10.1007/978-3-662-55771-6_143
  13. Morozov A., Freidin A.B., Klinkov V.A., Semencha A. V., Muller W. H., Hauck T. (2020) Experimental and theoretical studies of Cu-Sn intermetallic phase growth during high-temperature storage of eutectic SnAg interconnects. Journal of Electronic Materials, 49, 7194-7210. DOI:10.1007/s11664-020-08433-y
  14. Shtegman V.O., Morozov A.V., Freidin A.B., Müller W.H. (2020) On stress-affected kinetics of intermetallic compound growth in the presence of electromigration. Вестник Пермского национального исследовательского политехнического университета. Механика. 2020, №4, DOI:10.15593/perm.mech/2020.4.01.
  15. Izmaylova Y.O., Freidin A.B. (2020) On a modeling stress-controlled surface growth of solids. PNRPU Mechanics Bulletin. 2020, №4
  16. M. Poluektov, A.B. Freidin, L. Figiel. (2019) Micromechanical modelling of mechanochemical processes in heterogeneous materials. Modelling and Simulation in Materials Science and Engineering 27(7):084005. DOI:10.1088/1361-651X/ab3b3a
  17. Alexander B. Freidin, Leah L. Sharipova (2019) Two-phase equilibrium microstructures against optimal composite microstructures. Arch Appl Mech 89(3):561-580. DOI:10.1007/s00419-019-01510-7
  18. Morozov A.V., Freidin A.B., Muller W. (2019) Stability of chemical reaction fronts in the vicinity of a blocking state PNRPU Mechanics Bulletin 3:58-64. DOI:10.15593/perm.mech/2019.3.06
  19. Alexander B. Freidin and Victor V. Eremeyev (2019) On Kinetic Nature of Hysteresis Phenomena in Stress-Induced Phase Transformations. In Book: H. Altenbach et al (eds.) Dynamical Processes in Generalized Continua and Structures. Advanced Structured Materials 103. DOI:10.1007/978-3-030-11665-1_12.
  20. Aleksandr Morozov, Alexander Semencha, Alexander Freidin, Wolfgang Müller, Margarita Dronova (2019) Si Nanopowder Based Anode Material for the Lithium Ion Battery Cell. Key Engineering Materials. 822:230-238 DOI:10.4028/www.scientific.net/KEM.822.230
  21. A. Morozov, A. Freidin, W. H. Müller, A. Semencha and M. Tribunskiy (2019) Modeling temperature dependent chemical reaction of intermetallic compound growth. 2019 20th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), Hannover, Germany 1-8. DOI:10.1109/EuroSimE.2019.8724531
  22. Poluektov, M., Freidin, A.B., Figiel, L. (2018) Modelling stress-affected chemical reactions in non-linear viscoelastic solids with application to lithiationreaction in spherical Si particles. Int. J. of Engineering Science, 128, 44-62. DOI:10.1016/j.ijengsci.2018.03.007
  23. Freidin A.B., Sharipova L.L. (2018) Forbidden strains and stresses in mechanochemistry of chemical reaction fronts. 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, pp 335–348. DOI:10.1007/978-3-319-72440-9_17
  24. Krivtsov M., Sokolov A. A., Muller W. H. Freidin A.B. (2018) One-Dimensional Heat Conduction and Entropy Production In: Advances in Mechanics of Microstructured Media and Structures. Advanced Structured Materials. Springer. V. 87. P. 197-214. DOI:10.1007/978-3-319-73694-5_12
  25. Morozov A., Khakalo S., Balobanov V., Freidin A.B., Muller W.H., and Niiranen J. (2018) Modeling Chemical Reaction Front Propagation by Using an Isogeometric Analysis Technische Mechanik. V. 38. № 1. P. 73 – 90. DOI:10.24352/UB.OVGU-2018-007
  26. Morozov A, Freidin A., Muller W.H., Hauck T., Schmadlak I. (2018) Modeling reaction front propagation of intermetallic compounds by using isogeometric analysis. 19th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), Toulouse. 2018. P. 1-10. DOI:10.1109/EuroSimE.2018.8369860
  27. Shubin S.N., Akulichev A.G., Freidin A.B. (2017) Elastomer composites based on filler with negative coefficient of thermal expansion: experiments and numerical simulations of stress-strain behavior. Materials Physics and Mechanics. Т. 32. № 3. С. 278-287. Ref.
  28. Shubin, S.N.; Akulichev, A.G, Freidin A.B. (2017) Feasibility of using microencapsulated phase change materials as filler for improving low temperature performance of rubber sealing materials. Soft Matter. V. 13. № 42. P. 7760-7770. DOI:10.1039/C7SM01623A
  29. Freidin A.B.., Sharipova L.L., Morozov N.F. (2017) On locking strains in mechanochemistry of chemical reaction fronts. Chebyshevskii Sbornik. V.18. № 3. P. 469-481. DOI:10.22405/2226-8383-2017-18-3-469-481
  30. Freidin A.B., Morozov N.F., Petrenko S., Vilchevskaya E.N. (2016) Chemical reactions in spherically symmetric problems of mechanochemistry. Acta Mech. 227 (1) 43-56. DOI:10.1007/s00707-015-1423-2
  31. Antimonov M.A., Freidin A.B., Cherkaev A. (2016) Phase transformations surfaces and exact energy lower bounds. Int. J. of Engineering Science. V. 98. P. 153-182. DOI:10.1016/j.ijengsci.2015.10.004
  32. Shubin S.N., Freidin A.B., Akulichev A.G. (2016) Elastomer composites based on filler with negative thermal expansion coefficient in sealing application. Arch. Appl. Mech. V. 86. P. 351–360. DOI:10.1007/s00419-016-1120-1
  33. Freidin A.B., Korolev I.K., Aleshchenko S.P., Vilchevskaya E.N. (2016) Chemical affinity tensor and chemical reaction front propagation: theory and FE-simulations. Int J Fract. V. 202. № 2. P. 245-259. DOI:10.1007/s10704-016-0155-1
  34. Shubin S.N., Freidin A.B. (2016) A new algorithm for generating a random packing of ellipsoidal inclusions to construct composite microstructure. PNRPU Mechanics Bulletin V. 4. P. 317-337. DOI:10.15593/perm.mech/2016.4.19
  35. Freidin A.B., Kucher V.A. (2016) Solvability of the equivalent inclusion problem for an ellipsoidal inhomogeneity. Mathematics and Mechanics of Solids. V. 21. № 2. P. 255-262. DOI:10.1177/1081286515588636
  36. Podolskaya E. A. , Panchenko A. Yu. , Freidin A.B., Krivtsov A.M. Loss of ellipticity and structural transformations in planar simple crystal lattices. Acta Mech., 2016, 227(1):185-201. DOI:10.1007/s00707-015-1424-1
  37. W.H. Muller, E.N. Vilchevskaya, A.B. Freidin. Structural Changes in Micro-Materials: Phenomenology, Theory, Applications, And Simulations. Tbilisi International Centre of Mathematics and Informatics. Lecture Notes of TICMI. Tbilisi. Volume 16, 2015, 74 pp. Ref.
  38. E. Vilchevskaya, A. Freidin, N. Morozov. Kinetics of the chemical reaction front in spherically symmetric problems of mechanochevestry. Doklady Physics, 2015 60(4):175-179 (translated from Doklady Akademii Nauk, 2015, 461(5):525-529) DOI: 10.1134/S1028335815040072, In Russian: DOI: 10.7868/S0869565215110109
  39. A.B. Freidin. On a chemical affinity tensor for chemical reactions in deformable solids. Mechanics of Solids, 2015, 50(3): 260-285 (translated from Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2015, 3:35–68) DOI: 10.3103/S0025654415030048, In Russian
  40. R.A. Filippov, A.B. Freidin, I.V. Hussainova, E.N. Vilchevskaya. Critical Radius of Zirconia Inclusions in Transformation Toughening of Ceramics. Physical Mesomechanics, 2015, 18(1):33-42 (translated from Fizicheskaya Mezomekhanika, 2014, 17(2):55-64) DOI: 10.1134/S1029959915010051, In Russian
  41. A.B. Freidin, E.N. Vilchevskaya, I.K. Korolev. Stress-assist chemical reactions front propagation in deformable solids. Int. J. Engineering Science, 2014, 83:57-75 DOI: 10.1016/j.ijengsci.2014.03.008
  42. Alexander B. Freidin. Chemical Affinity Tensor and Stress-Assist Chemical Reactions Front Propagation in Solids. ASME 2013 International Mechanical Engineering Congress and Exposition, Volume 9: Mechanics of Solids, Structures and Fluids, San Diego, California, USA, November 15-21, 2013 DOI: 10.1115/IMECE2013-64957
  43. Фрейдин А. Б., Морозов Н. Ф., Вильчевская Е. Н. Моделирование фронтов химических реакций в деформируемых телах. Вiсник Киiвського нацiонального унiвекрситету iменi Тараса Шевченка. 2013. 3:38-41
  44. 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 (translated from Izvestiya Akademii Nauk. Mekanika Tverdogo Tela, 2015, 3:35-68) DOI: 10.3103/S002565441301010X, In Russian
  45. E.N. Vilchevskaya, AB 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. DOI: 10.1007/978-3-642-35783-1_14
  46. Proskura, A.V., Freidin, A.B., Kolesnikova, A.L., Morozov, N.F., Romanov, A.E. Plane elasticity solution for a half-space weakened by a circular hole and loaded by a concentrated force. J Mech behav Mater 2013: 22 (1-2): 11-25 DOI: 10.1515/jmbm-2013-0008
  47. 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 DOI: 10.4028/www.scientific.net/KEM.527.68
  48. Babaev, A.A., Khokhlachev, P.P., Nikolaev, Yu.A., Terukov, E.I., Freidin, A.B., Filippov, R.A., Filippov, A.K., Manabaev, N.K Nanocomposite based on modified multiwalled carbon nanotubes: Fabrication by an oriented spinning process and electrical conductivity. Inorganic Materials, 2012, 48 (10) , pp. 997-1000. DOI: 10.1134/S0020168512090026
  49. Babaev, A.A., Khokhlachev, P.P., Nickolaev, Y.A., Terukov, E.I., Freidin, A.B., Filippov, R.A., Fillipov, A.K., Manabaev, N.K. Features of the specific resistance of nanocomposite films fabricated from multiwall carbon tubes by means of a directed spinning chuck. Bulletin of the Russian Academy of Sciences: Physics, 2012, 76 (9) , pp. 1051-1053 DOI: 10.3103/S1062873812070052
  50. Proskura, A.V., Freidin, A.B., Kolesnikova, A.L., Morozov, N.F., Romanov, A.E. Identification of defects in a solid body on the base of surface displacements. Materials Physics and Mechanics, 2012, 15 (1) pp. 9-25 pdf
  51. Bert, N.A., Kolesnikova, A.L., Korolev, I.K., Romanov, A.E., Freidin, A.B., Chaldyshev, V.V., Aifantis, E.C. Elastic fields and physical properties of surface quantum dots. Physics of the Solid State, 2011, 53 (10), pp. 2091-2102 DOI: 10.1134/S1063783411100052
  52. Volkova D.O., Freidin A.B. The influence of external strains and material parameters on the kinetics of plane phase interface zones. Vestnik St.Petersburg University. Ser. 1. 2012. Issue 2. P. 99-108. pdf
  53. Бабаев А.А., Хохлачев П.П., Николаев Ю.А., Теруков Е.И., Фрейдин А.Б., Филиппов Р.А., Филиппов А.К., Манабаев Н.К. Особености электрических свойств полученых пленок нанокомпозита на основе углеродных многостенных трубок методом направленного спиннинга. // Перспективные материалы. М., Спец. вып. : Новые материалы и технологии, 2011, 13:846-851.
  54. 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. pdf
  55. 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, 5:683-691 (translated from Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2011, 5:32–42) DOI: 10.3103/S0025654411050049, In Russian
  56. N.A. Bert, A.B. Freidin, A.L. Kolesnikova, I.K. Korolev, A.E. Romanov. On strain state and pseudo moire TEM contrast of InSb quantum dots coherently grown on InAs surface. Phisica Stat. Solidi A. (2010) 207(10), p. 2323-2326. DOI: 10.1002/pssa.201026247
  57. M.A. Antimonov, A.V. Cherkaev, A.B. Freidin. Optimal microstructures and exact lower energy bounds of elastic composites made of isotropic phases. Naucno-tehnicheskie vedomoti. Proceedings of the St. Petersburg Polytechnic University. Physics and Mathematics. 2010. N. 3. P. 112-122.
  58. M.A. Antimonov, A.B. Freidin. Equilibrium cylindrical inclusion of anisotropic phase in an isotropic elasic solid. Naucno-tehnicheskie vedomoti. Proceedings of the St. Petersburg Polytechnic University. Physics and Mathematics. 2010. N. 4. P. 37-44.
  59. I.K. Korolev, S.V. Petinov, A.B. Freidin. Numerical simulation of damage accumulation and fatigue crack growth in elastic materials. Computational mechanics of continuum media (2009) 2(3), p. 34-43 (in Russian).
  60. 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. DOI: 10.1016/j.ijengsci.2008.09.015
  61. 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) DOI: 10.3103/S0025654407050159
  62. A.B. Freidin. On new phase inclusions in elastic solids. Z.Angew.Math.Mech. (2007) 87, № 2, p.102 - 116. DOI: 10.1002/zamm.200610305
  63. Eremeev V.A., Freidin A.B., Pavluchenko V.N., Ivanchev S.S.On the instability of elastic sphere under swelling. Doklady Akademii Nauk (2007) 412, № 1, p.52 - 55.(Doklady Physics, v.52, 1, p. 37 - 40) DOI: 10.1134/S1028335807010090
  64. V.Eremeyev, A.Freidin, L. Sharipova. On the stability of two-phase equilibrium elastic bodies. Prikladnaia Matematica i Mekhanika (PMM) (2007) № 1 p. 66 - 92 (Journal of Applied Mathematics and Mechanics 71 p.61 - 64) DOI: 10.1016/j.jappmathmech.2007.03.007
  65. 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 DOI: 10.1016/j.ijsolstr.2005.10.008
  66. V.A. Eremeyev, A.B. Freidin, V.N. Pavlyuchenko, S.S. Ivanchev. Instability of hollow polymeric microspheres upon swelling. Doklady Physics. 2007, Vol. 52, No. 1, 37-40.
  67. Freidin A., Sharipova L. On a model of heterogeneous deformation of elastic bodies by the mechanism of multiple appearance of new phase layers. Meccanica, (2006) 41 p.321 - 339 DOI: 10.1007/s11012-005-5901-9
  68. A.B. Freidin, E.N. Vilchevskaya Multiple appearances of new phase ellipsoidal nuclei. Doklady Akademii Nauk (2006) 411, № 6, p. 770 - 774 (Doklady Physics v.51, 12, p.692-696). DOI: 10.1134/S1028335806120135
  69. Y.Fu, A.Freidin. Characterization and stability of two-phase piecewise-homogeneous deformations. Proc. of the Royal. Soc. Lond., A 460, p.3065 - 3094 pdf
  70. A.B.Freidin, E.N.Vilchevskaya, L.L. Sharipova. Two-phase deformations of solids. Proc. of the Lobachevskii centre of Mathematics. Vol.22. Models in Continuum Mechanics. The lections of XVII session of the International school of models in continuum mechanics (Russia, Kazan) (2004) p. 162 - 200 (In Russian) pdf
  71. V.A. Eremeev, A.B. Freidlin, L.L. Sharipova. Nonuniqueness and Stability in Problems of Equilibrium of Elastic Two-Phase Bodies. Doklady Physics (2003) 48, № 7, p. 359 - 363. Translated from Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), 391, № 2, (2003) p.189 - 193. pdf
  72. A.B. Freidin, L.L. Sharipova. Equilibrium two-phase deformations and phase transition zones in a small-strain approach. Izvestiya VUZov. Sev.-Kavk. region. (Notices of Universities. South of Russia. Natural sciences) Nonlinear Problems of Continuum Mechanics 2nd special issue. (2003) p.267-274. (In Russian)
  73. A.B.Freidin, E.N.Vilchevskaya, L.L.Sharipova. Two-phase deformations within the framework of phase transition zones. Theoretical and Applied Mechanics (Belgrade) (2002) 28 - 29, p. 145 - 167. DOI: 10.2298/TAM0229145F
  74. I.A.Brigadnov, A.B.Freidin, D.A.Indeitzev, N.F.Morozov, Yu.V.Petrov. Energy estimations of phase transformations under the action of a spherically converging compression wave. Mater. Phys. Mech. (2001) 3(1), p.21 - 24. Ref.
  75. N.F. Morozov, I.A. Brigadnov, D.A. Indeitzev, Yu.V.Petrov, A.B. Freidin. Energy estimations of phase transformations in a ball under the action of a spherically converging compression wave. Doklady Physics (Proceedings of the Russian Academy of Sciences), (2001), 377, № 6, p.291-293.
  76. A.B.Freidin. On phase equilibrium in an isotropic non-linear elastic material. Izvestia Vuzov. Nonlinear Problems of Mechanics of Solids. (2000) p. 150 - 168 (in Russian).
  77. A.B. Freidin, and N.F. Morozov, Phase transition zones in a strain space and boundary problems for elastic solids undergoing phase transformations. Izvestia RAN, Neorganicheskaja Himia (1999), No. 8 (translated into English in Inorganic Chemistry)
  78. A.B. Freidin, Small strains approach to the theory on solid-solid phase transformations under the process of deformation. Studies on Elasticity and Plasticity. St. Petersburg State University, 1999, Vol. 18, pp. 270-295 (in Russian).
  79. I.R.Nazyrov, A.B.Freidin. Phase transformations of deformable solids in a model problem on an elastic sphere. Izvestia RAN, Mekhanika Tverdogo Tela (Mechanics of Solids), (1998) 33, p. 52 - 71.
  80. N.F.Morozov, A.B.Freidin. Phase transition zones and phase transformations of elastic solids under different stress states, Proceedings of the Steklov Mathematical Institute (1998) 223, p.220 - 232.
  81. N.F.Morozov, I.R.Nazyrov, A.B.Freidin. One-dimensional problem on phase transformation of an elastic sphere, Dokladi Akademii Nauk (Proceedings of the Russian Academy of Sciences) (1996) 346, p. 188 - 191.
  82. A.B. Freidin, A.M. Chiskis. Regions of phase transitions in nonlinear-elastic isotropic materials. Part 1: Basic relations // Izvestia RAN. Mekhanika Tverdogo Tela (1994) N 4, p. 91 - 109 (Mechanics of Solids (1994) 29, No. 4, p. 91 - 109) Russian English
  83. A.B. Freidin, A.M. Chiskis. Regions of phase transitions in nonlinear-elastic isotropic materials. Part 2: Incompressible materials with a potential depending on one of strain invariants // Izvestia RAN, Mekhanika Tverdogo Tela (1994) N 5, p. 49 - 61. (Mechanics of Solids (1994) 29, No. 5, p. 46 - 58.) Russian English
  84. A.B. Freidin. Crazes and shear bands in glassy polymers as layers of a new phase. Mekhanika Kompozitnih Materialov (Mechanics of Composite Materials) (1989) p.3 - 10. Russian English
  85. Ya. Gol'dman, A. B. Freidin. Effect of hydrostatic pressure on the shear strain of acrylonitrile-butadiene styrene plastic. Mechanics of Composite Materials, 1989, Vol. 25, N. 1, P. 19-23.
  86. L.B. Kublanov, A.B. Freidin. Solid phase seeds in a deformable material, Prikladnaia Matematica i Mekhanika (PMM) (1988) 52, p.493 - 501 (Journal of Applied Mathematics and Mechanics (1988) 52, p.382 - 389). Russian English
  87. A. B. Freidin, E. E. Manusevich, K. A. Vylegzhanina, L. F. Dokukina and Yu.S. Polyakov. Mechanisms of the plastic deformation of ABS-M copolymers. Plast. Massy. (1988), No. 4, pp. 38-40. Translated into English in Soviet Plastics.
  88. A.B. Freidin, A.Ya. Gol'dman. Appearance of crazing and shear bands as deformation phase transitions in glassy polymers. Mechanics of Composite Materials. 1984. Vol. 20, N. 5, P. 517-523.
  89. Ya. Gol'dman, A. B. Freidin, A. A. Lebedev. Dependence of the yield point of polymer materials on hydrostatic pressure and certain plasticity criteria. Strength of Materials, 1983, Vol. 15, N. 3, P. 373-377.
  90. A.B. Freidin, Yield surface and craze and shear band initiation in glassy polymers. Proceedings of the Leningrad Polytechnic Institute (1983), No. 393, pp. 76-82 (in Russian).
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