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Plasticity and strength of solids

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Abstract

This article reviews research conducted over the past 15 years at the intersection of the physics and mechanics of a deformable solid on the basis of the concept that plastic deformation and failure represent the evolution of shear-stability loss of a loaded material at various scale levels. This research has led to the founding of a new scientific discipline: the physical mesomechanics of materials, in which a deformable solid is regarded as a multilevel self-organizing system. The development of mechanisms and stages of plastic deformation at different scale levels conforms to the principle of scale invariance. This qualitatively changes the methods of describing the plastic deformation and failure of solids. The most pressing areas of research in the physical mesomechanics of materials are noted; these will determine the basic trends in research on the strength of solids in the next decade.

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References

  1. J. Simon, Usp. Fiz. Nauk,97, No. 1, 160–168 (1969).

    Google Scholar 

  2. W. T. Reed, Dislocations in Crystals [in Russian], Metallurgizdat, Moscow (1957).

    Google Scholar 

  3. A. H. Cottrell, Dislocations and Plastic Flow in Crystals [in Russian], Metallurgizdat, Moscow (1958).

    Google Scholar 

  4. Van Buren, Defects in Crystals [Russian translation], IL, Moscow (1962).

    Google Scholar 

  5. J. Eshelby, Continuum Theory of Dislocations [Russian translation], IL, Moscow (1963).

    Google Scholar 

  6. J. Friedel, Dislocations [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  7. J. Hirt and I. Lothe, Dislocation Theory [Russian translation], Atomizdat, Moscow (1972).

    Google Scholar 

  8. R. Honeycomb, Plastic Deformation of Metals [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  9. V. A. Likhachev and R. Yu. Khairov, Introduction to Dislocation Theory [in Russian], Izd. LGU, Leningrad (1975).

    Google Scholar 

  10. R. de Witt, Continuum Theory of Disclinations [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  11. V. I. Vladimirov and A. E. Romanov, Disclinations in Crystals [in Russian], Nauka, Leningrad (1986).

    Google Scholar 

  12. E. Kroner, Gauge Field Theories of Defects in Solids, Max Plank Inst., Stuttgart (1982).

    Google Scholar 

  13. T. Suzuki, H. Esinaga, and S. Taksuti, Dynamics of Dislocations and Plasticity [Russian translation], Mir, Moscow (1989).

    Google Scholar 

  14. N. A. Koneva and É. V. Kozlov, in: Structural Levels of Plastic Deformation and Failure [in Russian], Nauka, Novosibirsk (1990), pp. 123–186.

    Google Scholar 

  15. A. Kadich and D. Edelen, Gage Theory of Dislocations and Disclinations [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  16. V. E. Panin, Yu. V. Grinyaev, T. F. Ensukova, and A. G. Ivanchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 5–27 (1982).

  17. V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev, Structural Levels of Deformation of Solids [in Russian], Nauka, Novosibirsk (1985).

    MATH  Google Scholar 

  18. V. E. Panin, Yu. V. Grinyaev, and V. E. Egorushkin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 36–51 (1987).

  19. V. E. Panin, Yu. V. Grinyaev, V. I. Danilov, et al., Structural Levels of Plastic Deformation and Failure [in Russian], Nauka, Novosibirsk (1990).

    Google Scholar 

  20. V. E. Panin (ed.), Physical Mesomechanics and the Computer Design of Materials [in Russian], Nauka, Novosibirsk (1995).

    Google Scholar 

  21. V. E. Panin (ed.), Designing New Materials and Hardening Technologies [in Russian], Nauka, Novosibirsk (1993).

    Google Scholar 

  22. Structural Levels and Plastic Deformation Waves in Solids (Special Issue), Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2 (1990).

  23. Physical Mechanics of a Medium with Structure (Special Issue), Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4 (1992).

  24. V. E. Panin, in: Abstracts of the CADAMT ’97 International Conference: Preprints, ISPMS, Tomsk (1997), pp. 15–17.

    Google Scholar 

  25. V. E. Panin, in: Proceedings of the Tenth International Conference on the Strength of Materials: Japan Institute of Metals, Sendai (1994), pp. 415–418.

  26. V. E. Panin, in: A Topical Encyclopedia of Current Knowledge Dedicated to A. Griffith, G. Cherepanov (ed.), Krieger, Melbourne, USA (1998), pp. 772–793.

    Google Scholar 

  27. V. E. Panin, Jpn. J. Appl. Phys.,64, No. 9, 888–894 (1995).

    Google Scholar 

  28. V. E. Panin, in: Proceedings of the Eleventh International Conference on the Strength of Materials (Special Issue), Mater. Sci. Eng.,A234–A236, 944–948 (1997).

    Google Scholar 

  29. Computer Design of Materials (Special Issue), Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11 (1995).

  30. V. E. Panin (ed.), Physical Mesomechanics of Heterogeneous Media and Computer-Aided Design of Materials, Cambridge Interscience, Cambridge (1998).

    Google Scholar 

  31. L. B. Zuev, V. I. Danilov, and M. M. Mnikh, Zavod. Lab.,56, No. 2, 90–93 (1990).

    Google Scholar 

  32. V. E. Panin, L. B. Zuev, and V. I. Danilov, Patent 930002731. Method and Apparatus for Non-Destructive Testing of the Mechanical Behaviour of Solid State Objects under Loading, Ruspatent, Moscow (1993).

    Google Scholar 

  33. P. V. Kuznetsov, V. E. Panin, and S. V. Panin, in: Abstracts of the CADAMT ’97 International Conference: Preprints, ISPMS, Tomsk (1997), pp. 63–64.

  34. U. Essman, Phys. Stat. Sol.,12, No. 2, 723–747 (1965).

    Article  Google Scholar 

  35. S. V. Harren, H. E. Deve, and R. J. Asaro, Acta Met.,36, No. 9, 2435–2480 (1988).

    Article  Google Scholar 

  36. V. A. Likhachev, V. E. Panin, and E. É. Zasimchuk, Cooperative Deformation Processes and Localization of Deformation [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  37. A. D. Korotaev, V. F. Sukhovarov, and A. N. Tyumentsev, Disperse Strengthening of Refractory Metals [in Russian], Nauka, Novosibirsk (1989).

    Google Scholar 

  38. V. F. Nesterenko and M. P. Bondar, Fiz. Goren. Vzryva, No. 4, 99–111 (1994).

  39. M. G. Zelin and A. K. Mukherjee, Mater. Sci. Eng. A, No. 208, 210–225 (1996).

  40. V. I. Trefilov, Yu. V. Mil’man, and S. A. Firstov, Physical Principles of the Strength of Refractory Metals [in Russian], Naukova Dumka, Kiev (1975).

    Google Scholar 

  41. V. E. Panin, V. E. Egorushkin, Yu. A. Khon, and T. F. Elsukova, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 5–28 (1982).

  42. V. E. Panin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 1, 3–8 (1987).

  43. V. E. Egorushkin, V. E. Panin, E. V. Savushkin, and Yu. A. Khon, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 1, 9–33, (1987).

  44. Yu. A. Khon and V. E. Panin, Fiz. Tverd. Tela,38, No. 6, 1767–1774 (1996).

    Google Scholar 

  45. M. I. Klinger, Usp. Fiz. Nauk,146, No. 1, 105–142 (1985).

    Google Scholar 

  46. A. I. Mel’ker and A. V. Ivanov, Fiz. Tverd. Tela,28, No. 11, 3396–3402 (1986).

    Google Scholar 

  47. A. A. Kusov, Fiz. Tverd. Tela,21, No. 10, 3095–3099 (1979).

    Google Scholar 

  48. V. A. Petrov, Fiz. Tverd. Tela,25, No. 10, 3124–3127 (1983).

    Google Scholar 

  49. V. I. Vettergren’, Fiz. Tverd. Tela,28, No. 11, 3417–3422 (1986).

    Google Scholar 

  50. V. E. Panin, in: Physics of Brittle Failure [in Russian], Izd. IPM AM UkrSSR, Kiev (1976), pp. 3–16.

    Google Scholar 

  51. V. E. Panin and Yu. V. Grinyaev, in: Abstracts of the Proceedings of the Ninth All-Union Conference on the Physics of Strength and Plasticity of Metals and Alloys [in Russian], Rotaprint Kuib. Politkhn. Inst., Kuibyshev (1979), pp. 42–43.

    Google Scholar 

  52. V. V. Rybin and V. N. Perevezentsev, Pis’ma ZhTF,7, No. 19, 1203–1205 (1981).

    Google Scholar 

  53. V. I. Vladimirov and A. A. Kusov, Fiz. Met. Metallov.,43, No. 6, 1127–1182 (1977).

    Google Scholar 

  54. S. A. Firstov, E. É. Zasimchuk, and N. D. Bega, Dokl. Akad. Nauk SSSR,214, No. 2, 337–340 (1979).

    Google Scholar 

  55. N. N. Aparov, I. V. Lyasotskii, V. E. Panin, and Yu. D. Tyapkin, Met. Metallov.,42, No. 4, 791–799 (1976).

    Google Scholar 

  56. Yu. D. Tyapkin and I. V. Lyasotskii, in: Achievements in Science and Engineering. Metals Science and Heat Treatment [in Russian], Vol. 15, Izd. VINITI, Moscow (1981), pp. 47–110.

    Google Scholar 

  57. A. R. Ubellode, The Molten State [in Russian], Metallurgiya, Moscow (1982).

    Google Scholar 

  58. Abstracts of International Workshop on Materials Instability under Mechanical Loading: Preprint, St Petersburg (1996).

  59. Abstracts of Mesofracture ’96 International Conference: Preprint, Tomsk (1996).

  60. E. C. Aifantis (ed.), Abstracts of Second Euroconference and International Symposium on Material Instabilities in Deformation and Fracture, HELLAS, Tessaloniki (1997).

    Google Scholar 

  61. R. De Borst, M. Geers, and R. Peerlings, in: Abstracts of Second Euroconference and International Symposium on Material Instabilities in Deformation and Fracture, E. C. Aifantis (ed.), HELLAS, Tessaloniki (1997), p. 3.

    Google Scholar 

  62. V. E. Panin, A. I. Slosman, and N. A. Kolesova, Fiz. Met. Metallov.,82, No. 2, 129–136 (1996).

    Google Scholar 

  63. V. E. Panin, A. I. Slosman, and N. A. Kolesova, Fiz. Met. Metallov.,84, No. 2, 130–135 (1997).

    Google Scholar 

  64. V. E. Panin, V. E. Egorushkin, T. F. Elsukova, and O. V. Veselova, Dokl. Akad. Nauk SSSR,316, No. 5, 1130–1132 (1991).

    Google Scholar 

  65. V. V. Rybin, Large Plastic Deformations and Metal Failure [in Russian], Metallurgiya, Moscow (1986).

    Google Scholar 

  66. V. E. Panin, S. V. Panin, and A. I. Mamaev, Dokl. Ross. Akad. Nauk.350, No. 1, 35–38 (1997).

    Google Scholar 

  67. V. E. Panin, L. S. Derevyagina, Ye. Ye. Deryugin, et al., in: Abstracts of the CADAMT ’97 International Conference: ISPMS, Tomsk (1997), pp. 158–159.

  68. P. V. Makarov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 42–58, (1992).

  69. S. I. Negreskul, S. G. Psakh’e, S. Yu. Korostelev, et al., Bull. Am. Phys. Soc. [Russian translation],34, No. 7, 1702–1704 (1989).

    Google Scholar 

  70. S. G. Psakh’e, Ya. Kori, and S. Yu. Korostelev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 58–69 (1995).

  71. V. A. Likhachev and V. G. Malinin, Structural — Analytic Theory of Strength [in Russian], Nauka, St. Petersburg (1993).

    Google Scholar 

  72. B. D. Annin, A. F. Revuzhenko, and E. I. Shemyakin, Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 66–86 (1987).

  73. A. F. Revuzhenko, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 83–102 (1992).

  74. A. F. Revuzhenko, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 70–85 (1995).

  75. V. A. Likhachev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 83–102 (1982).

  76. V. E. Panin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 6–25 (1995).

  77. V. E. Panin, E. E. Deryugin, and L. S. Derevyagina, Fiz. Met. Metallov.,84, No. 1, 106–111 (1997).

    Google Scholar 

  78. V. L. Popov and V. E. Panin, Dokl. Ross. Akad. Nauk,352, No. 1, 51–53 (1997).

    Google Scholar 

  79. V. S. Ivanova, Synergetics: The Strength and Failure of Metallic Materials [in Russian], Nauka, Moscow (1992).

    Google Scholar 

  80. V. S. Ivanova, A. S. Balankin, I. Zh. Bunin, and A. A. Oksogoev, Synergetics and Fractals in Materials Science [in Russian], Nauka, Moscow (1994).

    MATH  Google Scholar 

  81. A. M. Kosevich, Dislocations in Elasticity Theory [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  82. Yu. V. Grinyaev and N. V. Chertova, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 34–50 (1990).

  83. Yu. V. Grinyaev and V. E. Panin, Dokl. Ross. Akad. Nauk,353, No. 1, 37–39 (1997).

    Google Scholar 

  84. E. Kroner, Mechanica,31, 577–587 (1996).

    Article  ADS  Google Scholar 

  85. E. Kroner, Int. J. Theor. Phys.,29, 1219–1237 (1990).

    Article  MathSciNet  Google Scholar 

  86. E. Kroner and D. C. Lagoudas, Int. J. Eng. Sci.,30, No. 1, 47–53 (1992).

    Article  MathSciNet  Google Scholar 

  87. A. Seeger, in: Abstracts of Second Euroconference and International Symposium on Material Instabilities in Deformation and Fracture, E. C. Aifantis (ed.), HELLAS, Tessaloniki (1997), pp. 1–2.

    Google Scholar 

  88. B. Devincre and L. P. Kubin, Mat. Sci. Eng.,A234–A236, 8–14 (1997).

    Google Scholar 

  89. V. E. Panin, L. B. Zuev, and V. I. Danilov, Dokl. Akad. Nauk SSSR,308, No. 6, 1375–1379 (1989).

    Google Scholar 

  90. L. B. Zuev, N. M. Mnikh, and V. I. Danilov, Probl. Mashinostr. Nadezhn. Mash., No. 4, 51–56 (1992).

  91. Q. Lin and N. Hansen, Mat. Sci. Eng.,A234–A236, 672–675 (1997).

    Google Scholar 

  92. A. D. Korotaev, A. N. Tyumentsev, V. G. Gonchikov, and A. I. Olemskoi, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 81–92 (1991).

  93. Yu. R. Kolobov, V. B. Marvin, I. V. Ratochka, and A. D. Korotaev, Dokl. Akad. Nauk SSSR,283, No. 3, 605–608 (1985).

    Google Scholar 

  94. Yu. R. Kolobov, Author’s Abstract of Candidate’s Dissertation, Tomsk (1990).

  95. V. E. Panin, S. P. Burkova, V. S. Pleshanov, and O. N. Lavrov, Fiz. Met. Metallov.,82, No. 4, 148–153 (1996).

    Google Scholar 

  96. S. V. Panin, Author’s Abstract of Candidate’s Dissertation, Institute of the Strength Physics of Materials, Siberian Branch, Russian Academy of Sciences, Tomsk (1997).

    Google Scholar 

  97. V. P. Alekhin, Physics of the Strength and Plasticity of Surface Layers [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  98. V. I. Vettergren’, S. Sh. Rakhinov, and V. N. Svetlov, Fiz. Tverd. Tela,37, No. 4, 913–921 (1995).

    Google Scholar 

  99. V. I. Vettergren’, S. Sh. Rakhinov, and V. N. Svetlov, Fiz. Tverd. Tela,37, No. 12, 3635–3644 (1995).

    Google Scholar 

  100. V. I. Vettergren’, S. Sh. Rakhinov, and V. N. Svetlov, Fiz. Tverd. Tela,39, No. 9, 1560–1563 (1997).

    Google Scholar 

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Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 7–34, January, 1998.

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Panin, V.E. Plasticity and strength of solids. Russ Phys J 41, 1–20 (1998). https://doi.org/10.1007/BF02813679

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