- Email: [email protected]
Contents pages
PHYSICAL MESOMECHANICS Volume 10, Nos. 5 6, 2007
Printed by Printforce bv, Alphen aan den Rijn, The Netherlands
PHYSICAL MESOMECHANICS (ISSN 1029-9599) Journal has been founded in May, 1998 Published triannually The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication. Editor-in-Chief V.E. Panin Institute of Strength Physics and Materials Science SB RAS, Tomsk, 634021, Russia Tel.: +7 (3822) 492-481; fax: +7 (3822) 492-576; e-mail: [email protected] Deputy Editor V.M. Fomin, Russia Editorial Board G.I. Barenblatt, USA G. Capriz, Italy A. Carpinteri, Italy S.V. Goldin , Russia R.V. Goldstein, Russia Yu.V. Grinyaev, Russia B.L. Holian, USA D. Jeulin, France
P.V. Makarov, Russia O.B. Naimark, Russia S.V. Panin, Russia V.L. Popov, Russia G. Pluvinage, France S.G. Psakhie, Russia J.C. Radon, Great Britain
A brief guide for authors A submission to Physical Mesomechanics must be the original work of the author(s) and must not be published elsewhere or under consideration for another publication in its submitted or a substantially similar form in any language. Research papers will be considered. The following materials should be submitted. (1) Two copies of the typescript each including: (a) Title page with: title of article, name(s) of author(s), address(es) of establishment(s) where work was carried out. (b) Abstract. (c) Text with double line spacing on A4 (210 u 297 mm) or similar paper. (d) List of full references given in the numerical system (on separate sheet). (e) List of captions for illustrations. (f) Set of copies of illustrations.
Publication information Physical Mesomechanics (ISSN 1029-9599). For 2007, volume 10 is scheduled for publication. Subscription prices are available upon request from the Publisher or from the Regional Sales Office nearest you or from this journals website (http://www.elsevier.com/locate/ physme). Further information is available on this journal and other Elsevier products through Elseviers website (http://www.elsevier. com). Subscriptions are accepted on a prepaid basis only and are entered on a calendar year basis. Issues are sent by standard mail (surface within Europe, air delivery outside Europe). Priority rates are available upon request. Claims for missing issues should be made within six months of the date of dispatch.
Orders, claims, and journal enquiries Please contact the Customer Service Department at the Regional Sales Office nearest you: Copyright © 2007 ISPMS, Siberian Branch of the RAS. Published by Elsevier BV. All rights reserved.
K.S. Schmauder, Germany E.I. Shemyakin, Russia G.C. Sih, China A.N. Tikhonov, Russia V.M. Titov, Russia M.P. Wnuk, USA Yu.G. Yanovsky, Russia (2) One complete set of illustrations suitable for reproduction. The quality of labelling, line thickness and other details should be adequate to maintain acceptable size, density and clarity after an appropriate reduction in size. Photographic illustrations should be supplied as glossy prints (not negatives or slides). Graphics files may also be supplied but good quality originals are still required in case the electronic files cannot be used.
Address for submissions
Publishing Editor E.V. Kondurova Institute of Strength Physics and Materials Science SB RAS 2/1, Akademicheskii pr., Tomsk, 634021, Russia Tel: +7 (3822) 492 092 Fax: +7 (3822) 492 576 E-mail: [email protected] http://www.ispms.ru
Orlando: Elsevier, Customer Service Department, 6277 Sea Harbor Drive, Orlando, FL 32887-4800, USA; phone: (877) 8397126 or (800) 6542452 [toll free numbers for US customers]; (+1) (407) 3454020 or (+1) (407) 3454000 [customers outside US]; fax: (+1) (407) 3631354 or (+1) (407) 3639661; e-mail: [email protected] or [email protected] Amsterdam: Elsevier, Customer Service Department, PO Box 211, 1000 AE Amsterdam, The Netherlands; phone: (+31) (20) 4853757; fax: (+31) (20) 4853432; e-mail: [email protected] Tokyo: Elsevier, Customer Service Department, 4F Higashi-Azabu, 1-Chome Bldg, 1-9-15 Higashi-Azabu, Minato-ku, Tokyo 106-0044, Japan; phone: (+81) (3) 5561 5037; fax: (+81) (3) 5561 5047; e-mail: [email protected] Singapore: Elsevier, Customer Service Department, 3 Killiney Road, #08-01 Winsland House I, Singapore 239519; phone: (+65) 63490222; fax: (+65) 67331510; e-mail: [email protected]
6 2007 Physical Mesomechanics Volume 10 Numbers 5
Contents From Editors .................................................................................................................................................................... 224 Field theory of multilevel plastic flow in the neck of a deformed solid .......................................................................... 225 V.E. Panin, Yu.V. Grinyaev, and A.V. Panin (Russia) Mechanics of deformation and fracture of nanomaterials and nanotechnology .............................................................. 235 R.V. Goldstein and N.F. Morozov (Russia) Modeling of wear of solids at different scales ................................................................................................................. 247 I.G. Goryacheva(Russia)
Mechanics of media with stress-state dependent properties ............................................................................................ 255 E.V. Lomakin(Russia)
Hydrodynamic instabilities in solid media from the object of investigation to the investigation tool ....................... 265 A.L. Mikhailov (Russia) Dissipative structures in copper under impact deformation ............................................................................................ 275 Yu.I. Mescheryakov, N.I. Zhigacheva, A.K. Divakov, I.P. Makarevich, and B.K. Barakhtin(Russia) Analytical and numerical solutions for static and dynamic problems of the asymmetric theory of elasticity ........................................................................................................................................................... 281 V.V. Korepanov, M.A. Kulesh, V.P. Matveenko, and I.N. Shardakov(Russia) Energy accumulation and dissipation in metals as a result of structural-scaling transitions in a mesodefect ensemble ................................................................................................................................................ 294 O.A. Plekhov, I.A. Panteleev, and O.B. Naimark(Russia) Mathematical modeling and methods of indentifying strain and strength characteristics of materials ........................... 302 V.G. Bazhenov(Russia)
"
Physical Mesomechanics 56 (2007) 224
Dear readers, On 2228 August 2006, the IX All-Russian Congress on Theoretical and Applied Mechanics took place in Nizhnii Novgorod, Russia. The organizers of the Congress were the Russian National Committee on Theoretical and Applied Mechanics, the Russian Academy of Sciences, the RF Ministry of Education and Science, and the RF Ministry of Industry and Energy. The Congress gathered famous researchers and scientists in mechanics from all over the world. The participants reviewed the results obtained in theoretical and applied mechanics for the last five years after the VIII Congress. The state of the art in mechanics and the short- and long-term prospects for its development were discussed. The program included four sections: general and applied mechanics, mechanics of liquids and gases, solid mechanics, and complex and special disciplines of mechanics. The Congress has convincingly demonstrated that mechanics is a multidisciplinary field of science describing the motion of all real-world systems. Mechanics has entered into all branches of science and is a fundamental basis for numerous contemporary engineering problems. This required the development of completely novel approaches and methods of mechanics both for analytical solutions and numerical simulation. Detailed information on the Congress is given in an analytical review of Academician D.M. Klimov published in the Herald of the Russian Academy of Sciences (Vol. 77, No. 5, 2007). This issue of our journal presents some plenary reports on topical problems of solid mechanics. They discuss the key trends in modern theoretical and applied mechanics: the development of analytical and numerical methods of continuum mechanics, consideration of a deformed solid as a multilevel system, application of new approaches to describing the behavior of heterogeneous media under different loading conditions. The subject of the reports in the present issue can be interesting for specialists in mechanics, physics, geophysics and geotectonics, modern materials science and various engineering applications. Editors of the issue: Academician of RAS Victor E. Panin, Professor Robert V. Goldstein
Printed by Printforce bv, Alphen aan den Rijn, The Netherlands
PHYSICAL MESOMECHANICS (ISSN 1029-9599) Journal has been founded in May, 1998 Published triannually The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication. Editor-in-Chief V.E. Panin Institute of Strength Physics and Materials Science SB RAS, Tomsk, 634021, Russia Tel.: +7 (3822) 492-481; fax: +7 (3822) 492-576; e-mail: [email protected] Deputy Editor V.M. Fomin, Russia Editorial Board G.I. Barenblatt, USA G. Capriz, Italy A. Carpinteri, Italy S.V. Goldin , Russia R.V. Goldstein, Russia Yu.V. Grinyaev, Russia B.L. Holian, USA D. Jeulin, France
P.V. Makarov, Russia O.B. Naimark, Russia S.V. Panin, Russia V.L. Popov, Russia G. Pluvinage, France S.G. Psakhie, Russia J.C. Radon, Great Britain
A brief guide for authors A submission to Physical Mesomechanics must be the original work of the author(s) and must not be published elsewhere or under consideration for another publication in its submitted or a substantially similar form in any language. Research papers will be considered. The following materials should be submitted. (1) Two copies of the typescript each including: (a) Title page with: title of article, name(s) of author(s), address(es) of establishment(s) where work was carried out. (b) Abstract. (c) Text with double line spacing on A4 (210 u 297 mm) or similar paper. (d) List of full references given in the numerical system (on separate sheet). (e) List of captions for illustrations. (f) Set of copies of illustrations.
Publication information Physical Mesomechanics (ISSN 1029-9599). For 2007, volume 10 is scheduled for publication. Subscription prices are available upon request from the Publisher or from the Regional Sales Office nearest you or from this journals website (http://www.elsevier.com/locate/ physme). Further information is available on this journal and other Elsevier products through Elseviers website (http://www.elsevier. com). Subscriptions are accepted on a prepaid basis only and are entered on a calendar year basis. Issues are sent by standard mail (surface within Europe, air delivery outside Europe). Priority rates are available upon request. Claims for missing issues should be made within six months of the date of dispatch.
Orders, claims, and journal enquiries Please contact the Customer Service Department at the Regional Sales Office nearest you: Copyright © 2007 ISPMS, Siberian Branch of the RAS. Published by Elsevier BV. All rights reserved.
K.S. Schmauder, Germany E.I. Shemyakin, Russia G.C. Sih, China A.N. Tikhonov, Russia V.M. Titov, Russia M.P. Wnuk, USA Yu.G. Yanovsky, Russia (2) One complete set of illustrations suitable for reproduction. The quality of labelling, line thickness and other details should be adequate to maintain acceptable size, density and clarity after an appropriate reduction in size. Photographic illustrations should be supplied as glossy prints (not negatives or slides). Graphics files may also be supplied but good quality originals are still required in case the electronic files cannot be used.
Address for submissions
Publishing Editor E.V. Kondurova Institute of Strength Physics and Materials Science SB RAS 2/1, Akademicheskii pr., Tomsk, 634021, Russia Tel: +7 (3822) 492 092 Fax: +7 (3822) 492 576 E-mail: [email protected] http://www.ispms.ru
Orlando: Elsevier, Customer Service Department, 6277 Sea Harbor Drive, Orlando, FL 32887-4800, USA; phone: (877) 8397126 or (800) 6542452 [toll free numbers for US customers]; (+1) (407) 3454020 or (+1) (407) 3454000 [customers outside US]; fax: (+1) (407) 3631354 or (+1) (407) 3639661; e-mail: [email protected] or [email protected] Amsterdam: Elsevier, Customer Service Department, PO Box 211, 1000 AE Amsterdam, The Netherlands; phone: (+31) (20) 4853757; fax: (+31) (20) 4853432; e-mail: [email protected] Tokyo: Elsevier, Customer Service Department, 4F Higashi-Azabu, 1-Chome Bldg, 1-9-15 Higashi-Azabu, Minato-ku, Tokyo 106-0044, Japan; phone: (+81) (3) 5561 5037; fax: (+81) (3) 5561 5047; e-mail: [email protected] Singapore: Elsevier, Customer Service Department, 3 Killiney Road, #08-01 Winsland House I, Singapore 239519; phone: (+65) 63490222; fax: (+65) 67331510; e-mail: [email protected]
6 2007 Physical Mesomechanics Volume 10 Numbers 5
Contents From Editors .................................................................................................................................................................... 224 Field theory of multilevel plastic flow in the neck of a deformed solid .......................................................................... 225 V.E. Panin, Yu.V. Grinyaev, and A.V. Panin (Russia) Mechanics of deformation and fracture of nanomaterials and nanotechnology .............................................................. 235 R.V. Goldstein and N.F. Morozov (Russia) Modeling of wear of solids at different scales ................................................................................................................. 247 I.G. Goryacheva(Russia)
Mechanics of media with stress-state dependent properties ............................................................................................ 255 E.V. Lomakin(Russia)
Hydrodynamic instabilities in solid media from the object of investigation to the investigation tool ....................... 265 A.L. Mikhailov (Russia) Dissipative structures in copper under impact deformation ............................................................................................ 275 Yu.I. Mescheryakov, N.I. Zhigacheva, A.K. Divakov, I.P. Makarevich, and B.K. Barakhtin(Russia) Analytical and numerical solutions for static and dynamic problems of the asymmetric theory of elasticity ........................................................................................................................................................... 281 V.V. Korepanov, M.A. Kulesh, V.P. Matveenko, and I.N. Shardakov(Russia) Energy accumulation and dissipation in metals as a result of structural-scaling transitions in a mesodefect ensemble ................................................................................................................................................ 294 O.A. Plekhov, I.A. Panteleev, and O.B. Naimark(Russia) Mathematical modeling and methods of indentifying strain and strength characteristics of materials ........................... 302 V.G. Bazhenov(Russia)
"
Physical Mesomechanics 56 (2007) 224
Dear readers, On 2228 August 2006, the IX All-Russian Congress on Theoretical and Applied Mechanics took place in Nizhnii Novgorod, Russia. The organizers of the Congress were the Russian National Committee on Theoretical and Applied Mechanics, the Russian Academy of Sciences, the RF Ministry of Education and Science, and the RF Ministry of Industry and Energy. The Congress gathered famous researchers and scientists in mechanics from all over the world. The participants reviewed the results obtained in theoretical and applied mechanics for the last five years after the VIII Congress. The state of the art in mechanics and the short- and long-term prospects for its development were discussed. The program included four sections: general and applied mechanics, mechanics of liquids and gases, solid mechanics, and complex and special disciplines of mechanics. The Congress has convincingly demonstrated that mechanics is a multidisciplinary field of science describing the motion of all real-world systems. Mechanics has entered into all branches of science and is a fundamental basis for numerous contemporary engineering problems. This required the development of completely novel approaches and methods of mechanics both for analytical solutions and numerical simulation. Detailed information on the Congress is given in an analytical review of Academician D.M. Klimov published in the Herald of the Russian Academy of Sciences (Vol. 77, No. 5, 2007). This issue of our journal presents some plenary reports on topical problems of solid mechanics. They discuss the key trends in modern theoretical and applied mechanics: the development of analytical and numerical methods of continuum mechanics, consideration of a deformed solid as a multilevel system, application of new approaches to describing the behavior of heterogeneous media under different loading conditions. The subject of the reports in the present issue can be interesting for specialists in mechanics, physics, geophysics and geotectonics, modern materials science and various engineering applications. Editors of the issue: Academician of RAS Victor E. Panin, Professor Robert V. Goldstein