Фрейдин А.Б. - Руководитель подразделения - Лаборатория математических методов механики материалов

Санкт-Петербургский политехнический университет Петра Великого, Санкт-Петербургский государственный университет

Курсы лекций

• Нелинейная механика деформируемых твердых тел
• Механика разрушения
• Теория пластичности
• Спец курс: Задача Эшелби в механике материалов, фазовые границы и фронты химических реакций с точки зрения механики конфигурационных сил
• Руководитель международной магистерской программы "Continuum Mechanics: Fundamentals and Applications" в Санкт-Петербургском государственном политехническом университете Петра Великого

Чтение лекций в зарубежных ВУЗах

• "Introduction to mechanics of moving interfaces: stress-affected chemical reactions".
  Политехническая школа (Ecole Polytechnique), лаборатория механики деформируемого твердого тела (Laboratoire de Mécanique des Solides), Париж, Франция, февраль, 2020
• "Elements of tensor calculus with examples from linear elasticity. Introduction to mechanics of fracture".
  Пекинский Университет Гражданского строительства и архитектуры (Beijin University of Civil Engineering anf Architecture (BUCEA)), Пекин, Китай, декабрь, 2019
• Чтение лекций на летних школах по математике и механике в Пекинском Университете Гражданского строительства и архитектуры (Beijing University of Civil Engineering and Architecture, BUCEA) в 2017, 2018 и 2019 годах.
• "Introduction to Mechanics of Fracture"
  Пекинский Университет Гражданского строительства и архитектуры (Beijin University of Civil Engineering anf Architecture (BUCEA)), Пекин, Китай, октябрь 2018.
• Курс лекций "Advanced mechanics and thermodynamics of continuum with applications to stress-induced phase transitions and mechanochemistry" Технический университет Берлина (TU Berlin), Берлин, Германия, апрель-май, 2018 (по программе ERASMUS.)
• Профессор Пекинского университета гражданского строительства и архитектуры по программе приглашения выдающихся ученых (Distinguished Professor of Beijing University of Civil Engineering and Architecture с 01.01.2018, Beijing Oversea Talents Center (Пекинский центр по приглашению выдающихся зарубежных ученых)).
• Чтение курса лекций для аспирантов "Introduction to mechanics of moving interfaces and chemical reactions fronts"
  Университет Отто фон Герике в Магдебурге (The Otto von Guericke University Magdeburg), Магдебург, Германия, январь 2016
• "Eshelby problem in micromechanics of materials"
  Университет Отто фон Герике в Магдебурге (The Otto von Guericke University Magdeburg), Магдебург, Германия, октябрь-ноябрь 2011.

Публикации

Монографии

1. Фрейдин А.Б. Задача Эшелби. Учебное пособие. Санкт-Петербург: ПОЛИТЕХ-ПРЕСС (Издательство Санкт-Петербургского Политехнического университета Петра Великого). 2022. 150 стр. DOI: 10.18720/SPBPU/2/id22-26 PDF
2. Фрейдин А.Б. Механика разрушения. Задача Эшелби. Санкт-Петербург: Издательство Санкт-Петербургского Политехнического университета. 2010. 238 стр. DOI: 10.18720/SPBPU/2/si20-805

Избранные статьи

1. Alexander B. Freidin, Ilya A. Rublev, Igor K. Korolev. (2024) On the initial boundary value problem for the propagating chemical reaction front in an elastic solid. Acta Mechanica. 2024. Т. 235. № 7. С. 4289-4310. DOI: doi.org/10.1007/s00707-024-03945-8
2. Alexander B. Freidin. (2024)Translation of Jerald L. Ericksen’s introduction to the collection “Studies on mechanics of continua”. Journal of Elasticity. 2024. V. 155(3-4) 829-832. DOI: 10.1007/s10659-023-10043-8
3. M. Poluektov, A.B. Freidin. (2024) Localisation of stress-affected chemical reactions in solids described by coupled mechanics-diffusion-reaction models. International Journal of Engineering Science. 2024. Т. 196. С. 104006. DOI: 10.1016/j.ijengsci.2023.104006
4. Morozov A., Poluektov M., A.B. Freidin, Figiel Ł., Müller W.H. (2024) Stability of chemical reaction fronts in solids: analytical and numerical approaches. European Journal of Mechanics - A/Solids. 2024. Т. 104. С. 105211. DOI: 10.1016/j.euromechsol.2023.105211
5. Kabanova P.K., Freidin A.B. (2023) On the localization of a new phase domain in the vicinity of an elliptical hole. Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM). 2023. Т. 104. № 3. P. e202301035. DOI: 10.1002/zamm.202301035
6. Kabanova P.K., Morozov A., Freidin A.B., Chudnovsky A. (2023) 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. DOI: 10.1007/978-3-031-28744-2_10
7. Фрейдин А. Б. (2023) Связанные задачи механохимии: локализованные и объемные реакции. В книге: XIII Всероссийский съезд по теоретической и прикладной механике. сборник тезисов докладов в 4 т. Министерство науки и высшего образования РФ; Российская академия наук; Российский национальный комитет по теоретической и прикладной механике; Санкт-Петербургский политехнический университет Петра Великого. Санкт-Петербург, 2023. С. 1032-1034. 
8. 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
9. Карасева У. П, Фрейдин А. Б. (2023) О влиянии напряжений на неравновесную вязкость стекол. Ученые записки Казанского университета. Серия: Физико-математические науки. 2023. Т. 165. № 3.С. 219-235. DOI: 10.26907/2541-7746.2023.3.219-235
10. 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
11. Чубюк А.М., Антипин Н.А., Фрейдин А. Б. (2022) Разрушение хрупкой преднапряжённой пластины с трещиной при динамическом нагружении. В книге: Передовые производственные технологии: компьютерные (суперком- пьютерные) технологии и организация наукоемких производств. Сборник тезисов докладов Национальной научно-практической конференции с международным участием. Под редакцией Ю.Я. Болдырева, П.А. Аркина. Санкт-Петербург, 2022. С. 162-176. 
12. 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.
13. Фрейдин А.Б. (2022) О конфигурационных силах в механике фазовых и химических превращений. Прикладная математика и механика, 86(4):571-583. DOI: 10.31857/S0032823522040075
14. Кабанова П.К., Фрейдин А.Б. (2022) Численное исследование эволюции областей новой фазы в упругом теле. Вычислительная механика сплошных сред, 15(4), 466–479. DOI: 10.7242/1999-6691/2022.15.4.36
15. Freidin, A.B., Korolev, I.K., Aleshchenko, S.P. (2022). FEM-simulations of a Chemical Reaction Front Propagation in an Elastic Solid with a Cylindrical Hole. In: Polyanskiy, V.A., K. Belyaev, A. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, vol 164. Springer, Cham. DOI: 10.1007/978-3-030-93076-9_10
16. 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
17. 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
18. 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
19. 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
20. Y. Izmaylova, A. Freidin. (2021) Modeling Surface Growth of Bone Tissue. AIP Conference Proceeding 2371:060002. DOI: 10.1063/5.0059595
21. 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
22. 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
23. 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.
24. Измайлова Я.О., Фрейдин А.Б. (2020) О моделировании поверхностного роста твердых тел под действием напряжений. Вестник Пермского национального исследовательского политехнического университета. Механика. 2020, №4. DOI:10.15593/perm.mech/2020.4.09
25. 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
26. 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
27. 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
28. 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. DOI:10.1007/978-3-030-11665-1_12.
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. 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 behaviour. Materials Physics and Mechanics. Т. 32. № 3. С. 278-287.  DOI: 10.18720/MPM.3232017_7
37. 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
38. Фрейдин А.Б., Шарипова Л.Л., Морозов Н.Ф. (2017) О блокирующих деформациях в механохимии фронтов химических реакций. Чебышевский сборник. Т.18. № 3. С. 469-481. DOI:10.22405/2226-8383-2017-18-3-469-481
39. 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
40. 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
41. 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
42. 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
43. Шубин С.Н., Фрейдин А.Б. (2016) Алгоритм построения пространственных стохастических микроструктур дисперсно-упрочненных композитов с включениями эллипсоидальной формы. Вестник Пермского национального исследовательского политехнического университета "Машиностроение, материаловедение". Т. 4. С. 317-337. DOI:10.15593/perm.mech/2016.4.19
44. 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
45. 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
46. 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.
47. 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
48. 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
49. 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
50. 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
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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
58. 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
59. 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
60. 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
61. 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
62. 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.
63. 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
64. 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
65. 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
66. 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.
67. 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.
68. 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).
69. 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
70. 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
71. 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
72. 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
73. 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
74. 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
75. 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.
76. 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
77. A.B. Freidin, E.N. Vilchevskaya. (2006) 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
78. 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
79. 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
80. 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
81. 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) 
82. 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
83. 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.
84. 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.
85. 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).
86. 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)
87. 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).
88. 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.
89. 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.
90. 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.
91. 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
92. 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
93. 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
94. 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.
95. 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
96. 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.
97. 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.
98. 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.
99. 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).