Alexander B. Freidin

Office Address

Institute for Problems in Mechanical Engineering
Russian Academy of Sciences (IPME RAS)

V.O., Bol'shoy Pr., 61, St.Petersburg 199178, Russia
Tel.: +7-812-3214780; Fax: +7-812-3214771
E-mail:

Current Positions

2006 - Present	Head of the Department of Mathematical Methods in Mechanics of Materials and Structures Institute for Problems in Mechanical Engineering of Russian Academy of Sciences
1999 - Present	Head of the Laboratory of Mathematical Methods in Mechanics of Materials Institute for Problems in Mechanical Engineering of Russian Academy of Sciences
2001 - Present	Professor of the Department of Mathematics and Mechanics, St. Petersburg State University
2002 - Present	Professor of the Department of Physics and Mechanics, St. Petersburg State Polytechnical 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

Area of Research

Applied mathematics and mechanics, mechanical behavior of materials

Current Research Interests

Mechanics of materials with variable microstructures, stress-induced phase transformations, mechanochemistry, composite materials and ceramics, biomechanics, nonlinear elasticity

Membership in Professional Societies

Russian National Committee on Theoretical and Applied Mechanics

Member of Editorial Boards

Archive of Applied Mechanics

Continuum Mechanics and Thermodynamics

Teaching Courses

Nonlinear mechanics of deformable solids
Fracture mechanics
Theory of plasticity
Special course: Eshelby problem in mechanics of materials

Grants and Projects

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)

Publications

Monography

A.B. Freidin.

Selected papers

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
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. doi
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
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.
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.
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).
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
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
A.B. Freidin. On new phase inclusions in elastic solids // Z.Angew.Math.Mech. (2007) 87, № 2, p.102 - 116. doi
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
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) pdf, doi
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 pdf, doi
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.
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 pdf, doi
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
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
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
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
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) pdf
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. pdf, doi
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.
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.
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).
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)
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).
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.
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.
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.
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
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
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
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.
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
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.
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.
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.
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).

Selected papers in conference proceedings

R.A. Filippov, A.B. Freidin, E.N. Vilchevskaya. On transition layers in nanocomposites as new phase areas // Proc. XXXIX Summer School-Conference Advanced problems in mechanics, APM 2011, p.158-163.
E.N. Vilchevskaya, A.B. Freidin. Modeling mechanochemistry of the diffusion controlled chemical reaction front propagation in elastic solids. Òðóäû ìåæäóíàðîäíîé êîíôåðåíöèè Proc. XXXVIII Summer School-Conference Advanced problems in mechanics. APM 2010. St. Petersburg (Repino) http://apm-conf.spb.ru. P. 741-749
M.A. Antimonov. A.V. Cherkaev. A.B. Freidin. On transformation surfaces construction for phase transitions in deformable solids. Òðóäû ìåæäóíàðîäíîé êîíôåðåíöèè Proc. XXXVIII Summer School-Conference Advanced problems in mechanics. APM 2010. St. Petersburg (Repino) http://apm-conf.spb.ru. P.23-29.
A.B. Freidin , D.O. Kucheyeva. The influence of external strains and material parameters on the kinetics of stationary moving interfaces. Proc. XXXVIII Summer School-Conference Advanced problems in mechanics. APM 2010. St. Petersburg (Repino) http://apm-conf.spb.ru . P.225-230.
I.K.Korolev, A.B.Freidin, S.V.Petinov "FEM simulation of fatigue damage crack nucleation and growth in a predamaged material" // Proc. Crack Paths (CP 2009). Vicenza. 2009. P.156-164.
A.B. Freidin. Modeling the interconnections between a structural transformation front and a growing crack. Advances in materials science. Eds: N.Kuznezov, O.N.Shubin. Sandia National Laboratories. Albuquerque, USA. 2009. P.VI-7-VI-11.
I.K.Korolev, S.V.Petinov, A.B.Freidin. FEM simulation of fatigue damage, crack nucleation and growth in a pre-damaged material. Advances in materials science. Eds: N.Kuznezov, O.N.Shubin. Sandia National Laboratories. Albuquerque, USA. Prague, 2009. P.VI-12-VI-16.
E.N. Vilchevskaya, A.B. Freidin. Modeling coupled interaction between crack growth, diffusion and chemical reactions. Advances in materials science. Eds: N.Kuznezov, O.N.Shubin. Sandia National Laboratories. Albuquerque, USA. Prague, 2009. P. III-2-III-6.
A.B.Freidin. On chemical reaction fronts in nonlinear elastic solids. Proceedings of XXXVI International Summer School-Conference APM2009. Eds: D. A. Indeitsev, A. M. Krivtsov. St.Petersburg. Institute for problems in mechanical Engineering. 2009. P.231-237.
I.K.Korolev, S.V.Petinov, A.B.Freidin. FEM simulation of fatigue damage, crack nucleation and growth in a pre-damaged material. Proceedings of XXXVI International Summer School-Conference APM 2009. Eds: D. A. Indeitsev, A. M. Krivtsov. St.Petersburg. Institute for problems in mechanical Engineering. 2009. P.372-379.
Elena N. Vilchevskaya, Alexander B. Freidin. Modelling a chemical reaction front propagation in elastic solids: 1D case. Proceedings of XXXVI International Summer School-Conference APM' 2009. Eds: D. A. Indeitsev, A. M. Krivtsov. St.Petersburg. Institute for problems in mechanical Engineering. 2009. P.681-691.
E.N.Vilchevskaya, A.B.Freidin. Modeling coupled interaction between crack growth, stress-assist diffusion and chemical reactions. Proceedings of XXXVI International Summer School-Conference APM' 2008. Eds: D. A. Indeitsev, A. M. Krivtsov. St.Petersburg. Institute for problems in mechanical Engineering. 2008. P. 706-712.
I.K. Korolev, S.V. Petinov, A.B. Freidin. FEM simulation of fatigue damage in a polycrystalline silicon structures. RELMAS'2008. (Assesment of reliability of materials and structures: problems and solutions). International Conference. St.Petersburg, Russia, June 17-20, 2008. Vol. 1. St.Petersburg, Polytechnical Publishing House. 2008. P. 177-181
Alexander B. Freidin, Elena N. Vilchevskaya. On initial state of stress induced phase transformation due to multiple appearance of new phase ellipsoidal nuclei// Proceedings of the XXXIII Summer School Advanced Problems in Mechanics. (2006) p. 311 - 317
A.B.Freidin, L.L Sharipova, E.N. Vilchevskaya. Phase transition zones in relation with constitutive equations of elastic solids // Proc. XXXII Summer School APM-2004, IPME RAS, St. Petersburg (2004) p. 140 - 150. pdf
E.Vilchevskaya, A.Freidin. On phase transformations of an inclusion in an external strain field // Proc. XXXII Summer School APM-2004, IPME RAS, St. Petersburg, p.447-454. pdf
V.Eremeyev, A.Freidin, L.Sharipova. Influence of phase transitions on stability of deformable bodies // Structure and properties of the perspective materials and alloys: Proceedings of XL International seminar “Actual problem of strength of materials” (30.09-4.10.2002. Vel. Novgorod), Vel. Novgorod, (2003) p.69 - 75 (In Russian).
E. Vilchevskaya, A. Freidin, L. Sharipova. Influence of deformation path on the strain localization due to phase transition, Structure and properties of the perspective materials and alloys // Proceedings of XL International seminar “Actual problem of strength of materials” (30.09-4.10.2002. Vel. Novgorod), Vel. Novgorod, (2003) p.42 - 48 (In Russian).
A.B.Freidin, V.A.Eremeyev, L.L.Sharipova. On nonuniqueness and stability of centrally symmetric two-phase deformations // Proc. of XXIX Summer School “Advanced Problems in Mechanics”, St. Petersburg, IPME RAS, (2002) p.73 - 83.
A.B.Freidin, E.N.Vilchevskaya. Phase transition zones for one class of nonlinear elastic materials // Proc. of XXIX Summer School “Advanced Problems in Mechanics”, St. Petersburg, IPME RAS, (2002) p.216 - 221. pdf
A.B.Freidin. Two-Phase Deformation Fields and Ellipticity of Nonlinear Elastic Materials // Proc. of the XXVII Summer School “Advanced Problems in Mechanics”. St. Petersburg. IPME RAS, (2000).
A.B. Freidin, E.M. Croitoro. Phase transition zones and two-phase strain fields in elastic solids // Proc. of 1st Canadian Conference on Nonlinear Solids Mechanics, Victoria, British Columbia, Canada, June 16 - June 20, (1999) 2, p.509 – 518. pdf
A.B. Freidin, E.M. Croitoro. Deformations with discontinuous gradients and ellipticity of isotropic hyperelastic materials // Proc. of 1st Canadian Conference on Nonlinear Solids Mechanics, Victoria, British Columbia, Canada, June 16 - June 20, (1999) 2, p.670 - 681. pdf
A.B. Freidin, Heterogeneous deformation of elastic solids due to multiple appearance of new phase layers. // Proceedings of the International Seminar ``Actual Problems of Strength''. 15-18 October, 1997. Novgorod, Russia. Vol. 1, pp. 236-240 (in Russian).
N.F. Morozov, I.R. Nazyrov and A.B. Freidin, Small strains approach to the problem on phase transformations of elastic solids. // Proceedings of II International Conference ``Modern problems of mechanics of continuum media''. 19--20 September, 1996. Rostov-na-Donu, Russia. Vol. 1, pp. 101-106 (in Russian).
A.B. Freidin, Phase transition zones for elastic solids. // Proceedings of II Intern. Conference "Modern problems of mechanics of continuum media". 19-20 Sept. 1996. Rostov-na-Donu, Russia. Vol. 3, pp. 135-139 (in Russian).