Alexander B.Freidin

Office address

Institute of Problems in Mechanical Engineering
V.O., Bol'shoy pr., 61, St.Petersburg 199178, Russia
Tel.: 7 (812) 3214780; Fax: 7 (812) 3214771
E-mail:

Current positions

1999 - present	Head of the Laboratory of Mathematical Methods in Mechanics of Materials, Institute of Problems in Mechanical Engineering Russian Academy of Sciences, Head of the Department of Mathematical Methods in Mechanics of Materials and Structures (from 2007)
2001 - present	Professor of the Department of Mathematics and Mechanics, St. Petersburg State University
1999 - present	Professor of the Department of Mathematics, St. Petersburg State Marine University
2001 - present	Professor of the Department of Mathematics, St. Petersburg State Academy of Service and Economics
2002 - present	Professor of the Department of Physics and Mechanics, St. Petersburg State Polytechnical University

Academic qualification

Doctor of Science, Physics and Mathematics, 1997, Institute for for Problems of Mechanical Engineering
Russian Academy of Sciences. St. Petersburg
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
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 researchs

Current research interests

Applications: martensite transformations, shape memory effects, localization of strains, crazes and shear bands in polymers and composites

Teaching courses

Theory of plasticity
Mechanics of fracture
Mathematical models of mechanics of deformable solids
Mathematics

Grants and Projects

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, 2006-2009 (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)

Selected Publications

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.
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)
A.B. Freidin. On new phase inclusions in elastic solids // Z.Angew.Math.Mech. (2007) 87, № 2, p.102 - 116
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)
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)
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
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
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).
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
Y.Fu, A.Freidin. Characterization and stability of two-phase piecewise-homogeneous deformations // Proc. of the Royal. Soc. Lond., A 460, p.3065 - 3094
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)
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.
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.
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.
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)
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, 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.
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.
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 un der the action of a spherically converging compression wave, Dokladi Akademii Nauk (Proceedings of the Russian Academy of Sciences), (2001), 377, № 6, p.1 - 3.
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. 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.
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.
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
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