| |  |  | Mechanics of Solids A Journal of Russian Academy of Sciences
 |  | Founded in January 1966
 Issued 6 times a year
 Print ISSN 0025-6544
 Online ISSN 1934-7936
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| Archive of Issues| Total articles in the database: |  | 13288 |  | In Russian (Èçâ. ÐÀÍ. ÌÒÒ): |  | 8164 
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| << Previous article | Volume 45, Issue 4 / 2010 | Next article >> |  | V.E. Panin, Yu.V. Grinyaev, and V.E. Egorushkin,  "Foundations of Physical Mesomechanics of Structurally Inhomogeneous Media," Mech. Solids. 45 (4), 501-518 (2010) |  | Year | 2010 | Volume | 45 | Number | 4 | Pages | 501-518 |  | DOI | 10.3103/S0025654410040023 |  | Title | Foundations of Physical Mesomechanics of Structurally Inhomogeneous Media |  | Author(s) | V.E. Panin (Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences, Akademicheskii pr-t 2/4, Tomsk, 634021 Russia, paninve@ispms.tsc.ru) Yu.V. Grinyaev (Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences, Akademicheskii pr-t 2/4, Tomsk, 634021 Russia, chertova@ispms.tsc.ru)
 V.E. Egorushkin (Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences, Akademicheskii pr-t 2/4, Tomsk, 634021 Russia)
 |  | Abstract | We present the basic principles of physical mesomechanics of structurally inhomogeneous media; the theory is developed on the basis of common approaches of nonequilibrium thermodynamics, gauge theory of defects, and mechanics of structured media. Within a multilevel approach, the plastic deformation evolution is considered in the entire hierarchy of structure-scale levels: at the nano, micro, meso, and macro level. Fracture is treated as the final stage of increasing disequilibrium of a solid, when the nonequilibrium thermodynamical Gibbs potential becomes zero and the structure-phase decay of the crystal occurs. |  | Keywords | physic, mesomechanics, gauge theories, structure-scale levels, nonlinear waves, deformation, fracture |  | References | 
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Izv. Vyssh. Uchebn. Zaved. Fiz.
25 (6), 5-27 (1982)
[Sov. Phys. J. (Engl. Transl.)
25 (6), 479-497 (1982)]. |  | 2. | V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev,
Structure Levels of Deformation of Solids
(Nauka, Novosibirsk, 1985)
[in Russian]. |  | 3. | V. E. Panin (Editor),
Structure Levels of Plastic Deformation and Fracture
(Nauka, Novosibirsk, 1990)
[in Russian]. |  | 4. | V. E. Panin (Editor),
Physical Mesomechanics and Computer Simulation of Materials
(Nauka, Novosibirsk, 1995)
[in Russian]. |  | 5. | V. E. Panin (Editor),
Physical Mesomechanics of Heterogeneous Media and Computer-Aided Design of Materials
(Cambridge Interscience Publ., Cambridge, 1998). |  | 6. | V. E. Panin,
"Overview on Mesomechanics of Plastic Deformation and Fracture of Solids,"
Theor. Appl. Fract. Mech.
30 (1), 1-11 (1998). |  | 7. | V. E. Panin and V. E. Egorushkin,
"Nonequilibrium Thermodynamics of a Deformed Solid
as a Multiscale System. Corpuscular-Wave Dualism of Plastic Shear,"
Fizich. Mezomekh.
11 (2), 9-30 (2008)
[Phys. Mesomech. (Engl. Transl.)
11 (3-4), 105-123 (2008)]. |  | 8. | V. E. Panin and Yu. V. Grinyaev,
"Physical Mesomechanics - a New Paradigm on the
Intersection of Physics and Deformable Body Mechanics,"
Fizich. Mezomekh.
6 (4), 9-36 (2003)
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"Chaotic Behavior of an Extended System,"
Physica D
37, 109-115 (1989). |  | 11. | V. E. Panin,
"Strain-Induced Defects in Solids at the Different Scale Levels of Plastic
Deformation and the Nature of Their Sources,"
Mater. Sci. Engng A
319-321, 197-200 (2001). |  | 12. | V. E. Panin, V. E. Egorushkin, A. V. Panin, and D. D. Moiseenko,
"On the Nature of Plastic Strain Localization in Solids,"
Zh. Tekh. Fiz.
77 (8), 62-69 (2007)
[Tech. Phys. (Engl. Transl.)
52 (8), 1024-1030 (2007)]. |  | 13. | V. E. Panin (Editor),
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[Sov. Phys. Solid State (Engl. Transl.)
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Physics of Strength and Plasticity of Surface Layers of Materials
(Nauka, Moscow, 1983)
[in Russian]. |  | 18. | V. E. Panin, D. D. Moiseenko, P. V. Maksimov, and A. V. Panin,
"Physical Mesomechanics of a Solid Treated as a Multilevel System.
III. Inelastic Forerunner of Plastic Shear Origination,"
Fizich. Mezomekh.
9 (5), 5-15 (2006)
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Izv. Vyssh. Uchebn. Zaved. Fiz.
21 (12), 95-101 (1978)
[Sov. Phys. J. (Engl. Transl.)
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"Effect of Interfaces on Mechanical Properties of Heterostructures,"
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12 (4), 43-46 (2009)
[Phys. Mesomech. (Engl. Transl.)
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"Dynamics of Plastic Deformation. Waves of Localized Plastic Deformation in Solids,"
Izv. Vyssh. Uchebn. Zaved. Fiz.
35 (4), 19-41 (1992)
[Russ. Phys. J. (Engl. Transl.)
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Finite Deformation of Elastic Solid
(Wiley, New York, 1951). |  | 24. | V. E. Panin, A. V. Panin, and D. D. Moiseenko,
"Physical Mesomechanics of a Deformed Solid as a Multilevel System.
II. Chessboard-Like Mesoeffect of the Interface in Heterogeneous Media in External Fields,"
Fizich. Mezomekh.
9 (6), 5-15 (2006)
[Phys. Mesomech. (Engl. Transl.)
10 (1-2), 5-14 (2007)]. |  | 25. | A. V. Panin,
"Nonliner Waves of Localized Plastic Flow in Nanostructure Surface Layers
of Solids and Thin Films,"
Fizich. Mezomekh.
8 (3), 5-17 (2005)
[Phys. Mesomech. (Engl. Transl.)]. |  | 26. | P. V. Makarov,
"On Hierarchical Nature of Deformation and Fracture of Solids,"
Fizich. Mezomekh.
7 (4), 25-34 (2004)
[Phys. Mesomech. (Engl. Transl.)]. |  | 27. | V. A. Romanova, Z. Z. Balokhonov, and N. I. Karpenko,
"Modeling of Mechanical Behavior of Materials with Three-Dimensional Internal Structure Taken into Account,"
Fizich. Mezomekh.
7 (2), 71-79 (2004)
[Phys. Mesomech. (Engl. Transl.)]. |  | 28. | S. G. Psakhie, Ya. Khori, S. Yu. Korostelev, et al.,
"Variable Cellular Automaton Method as a Tool for
Modeling in the Framework of Physical Mesomechanics,"
Izv. Vyssh. Uchebn. Zaved. Fiz.
38 (11), 58-69 (1995)
[Sov. Phys. J. (Engl. Transl.)]. |  | 29. | V. E. Panin, Yu. V. Grinyaev, V. E. Egorushkin, et al.,
"Excited State Spectrum and Vortex Mechanical Field in a Deformable Crystal,"
Izv. Vyssh. Uchebn. Zaved. Fiz.
30 (1), 36-51 (1987)
[Sov. Phys. J. (Engl. Transl.)
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"Description of Heterogeneous Solids in the Framework of the Gauge Approach,"
Fizich. Mezomekh.
9 (5), 17-25 (2006)
[Phys. Mesomech. (Engl. Transl.)
10 (1-2), 69-77 (2007)]. |  | 31. | V. E. Panin,
"Synergetic Principles of Physical Mesomechanics,"
Fizich. Mezomekh.
3 (6), 5-36 (2000)
[Phys. Mesomech. (Engl. Transl.)]. |  | 32. | S. Yoshida,
"Dynamics of Plastic Deformation Based on Restoring and Energy
Dissipative Mechanisms in Plasticity,"
Fizich. Mezomekh.
11 (2), 31-32 (2008)
[Phys. Mesomech. (Engl. Transl.)
11 (3-4), 137-143 (2008)]. |  | 33. | V. E. Panin, T. F. Elsukova, V. E. Egorushkin, et al.,
"Nonlinear Wave Effects of Curvature Solitons in Surface Layers of High-Purity Aluminum Polycrystals under Severe Plastic Deformation. I. Experiment,"
Fizich. Mezomekh.
10 (6), 21-32 (2007)
[Phys. Mesomech. (Engl. Transl.)
11 (1-2), 63-72 (2008)]. |  | 34. | V. E. Panin, N. S. Surikova, T. F. Elsukova, et al.,
"Nanostructured Phase Boundaries in Aluminum under Cyclic Intensive Plastic Deformation,"
Fizich. Mezomekh.
12 (6), 5-16 (2009). |  | 35. | Yu. V. Grinyaev and N. V. Chertova,
"The Gauge Theory of Plastic Deformation in Continuum Mechanics,"
Izv. Vyssh. Uchebn. Zaved. Fiz.
33 (2), 36-50 (1990)
[Russ. Phys. J. (Engl. Transl.)
33 (2), 123 (1990)]. |  | 36. | Yu. V. Grinyaev,
"Gauge-Invariant Description of Structure-Inhomogeneous Media Deformation,"
in Physical Mesomechanics and Computer Construction of Materials,
Ed. by V. E. Panin
(Nauka, Novosibirsk, 1995),
Vol. 1,
pp. 102-112
[in Russian]. |  | 37. | V. I. Vladimirov and A. E. Romanov,
Disclination in Crystals
(Nauka, Leningrad, 1986)
[in Russian]. |  | 38. | V. E. Panin, E. E. Deryugin, Z. Schmauder, and I. V. Storozhenko,
"Strain Localization Effects in Composites Based on Al with Al2O3 inclusions,"
Fizich. Mezomekh.
12 (6), 5-16 (2009). |  | 39. | V. E. Panin, L. S. Derevyagina, E. E. Deryugin, et al.,
"Laws of Prefracture Stage in Physical Mesomechanics,"
Fizich. Mezomekh.
6 (6), 97-106 (2003). |  | 40. | Yu. V. Grinyaev, N. V. Chertova, and V. E. Panin,
"Dynamical Equations of an Ensemble of Defects in the Presence of Disoriented Substructures,"
Zh. Tekh. Fiz.
68 (9), 134-135 (1998)
[Tech. Phys. (Engl. Transl.)
42 (9), 1128-1129 (1998)]. |  | 41. | N. V. Chertova and Yu. V. Grinyaev,
"Propagation Characteristics of Plane Waves of Defects in a Viscoplastic Medium,"
Pis'ma Zh. Teoret. Fiz.
25 (18), 91-94 (1999)
[Tech. Phys. Lett. (Engl. Transl.)
25 (9), 756-757 (1999)]. |  | 42. | V. V. Rybin,
Large Plastic Strains and Metal Fracture
(Metallurgiya, Moscow, 1986)
[in Russian]. |  | 43. | I. Yu. Smolin, P. V. Makarov, and R. A. Bakeev,
"Generalized Model of Elastoplastic Medium with Independent Plastic Rotations,"
Fizich. Mezomekh.
7 (Special Issue, Pt. 1), 89-92 (2004). |  | 44. | L. S. Derevyagina, V. E. Panin, and A. I. Gordienko,
"Self-Organization of Plastic Shears in Localized Deformation Macrobands
in the Neck of High-Strength Polycrystals, Its Role in Material Fracture under Uniaxial Tension,"
Fizich. Mezomekh.
10 (4), 59-72 (2007)
[Phys. Mesomech. (Engl. Transl.)
11 (1-2), 51-62 (2008)]. |  |  | Received | 01 March 2010 |  | Link to Fulltext |  |  | << Previous article | Volume 45, Issue 4 / 2010 | Next article >> |  |  | 
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