Advertisement

Combustion, Explosion and Shock Waves

, Volume 15, Issue 5, pp 617–638 | Cite as

Scale effects in fracture

  • A. G. Ivanov
  • V. N. Mineev
Article

Keywords

Shock Wave Brittle Fracture Elastic Energy Scale Effect Elastic Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    A. Yu. Ishlinskii, Pravda, May 22, 1976.Google Scholar
  2. 2.
    A. A. Griffith, Philos. Trans. R. Soc., London, Ser. A,221, 163 (1920).ADSGoogle Scholar
  3. 3.
    G. V. Karpenko, Zavod. Lab.,26, 1134 (1960).Google Scholar
  4. 4.
    M. P. Markovets, Zavod. Lab.,26, 1129 (1960).Google Scholar
  5. 5.
    Zavod. Lab.,26, 319–331; 1104–1140 (1960).Google Scholar
  6. 6.
    A. P. Aleksandrov and S. N. Zhurkov, The Phenomenon of Brittle, Fracture [in Russian], GTTI, Moscow (1933).Google Scholar
  7. 7.
    W. Weibull. Proc. Roy. Swed. Inst. Eng. Res.,151 (1939).Google Scholar
  8. 8.
    T. A. Kontorova and Ya. I. Frenkel', Zh. Tekh. Fiz.,11, 173 (1941).Google Scholar
  9. 9.
    T. A. Kontorova, in: Collection of Reports on Dynamic Strength [in Russian], VNIITMASh, Akad. Nauk SSSR (1946).Google Scholar
  10. 10.
    V. V. Bolotin, Statistical Methods in Structural Mechanics [in Russian], Gosstroiizdat (1961).Google Scholar
  11. 11.
    B. B. Chechulin, The Scale Factor and the Statistical Nature of the Strength of Metals [in Russian], GNTILChiTsM (1963).Google Scholar
  12. 12.
    V. G. Bessonov and V. V. Konovalenko, in: Mechanical Similarity of Structures Made of Reinforced Materials [in Russian], Naukova Dumka, Kiev (1970).Google Scholar
  13. 13.
    V. A. Petrov and A. N. Orlov, Fiz. Tverd. Tela.,15, 3371 (1973).Google Scholar
  14. 14.
    V. A. Petrov and A. V. Savitskii, Dokl. Akad. Nauk SSSR,224, 806 (1975).Google Scholar
  15. 15.
    V. A. Petrov, Fiz. Tverd. Tela,18, 1290 (1976).Google Scholar
  16. 16.
    A. V. Savitskii, B. Ya. Levin, and V. A. Petrov, Probl. Prochn.,6, 6 (1977).Google Scholar
  17. 17.
    N. N. Davidenkov, Introduction in: The Problem of Strength in Cement Steel [in Russian], L. S. Moroz and S. S. Shurakov, Mintransmash SSSR,Leningrad (1947).Google Scholar
  18. 18.
    E. M. Shevandin and Sh. S. Manevich, Zh. Tekh. Fiz.,16, 1223 (1946).Google Scholar
  19. 19.
    O. L. Anderson, in: Atomic Mechanism of Fracture [Russian translation], Metallurgizdat, Moscow (1963).Google Scholar
  20. 20.
    Kh. T. Korten, Fracture of Reinforced Plastics [in Russian], Khimiya, Moscow (1967).Google Scholar
  21. 21.
    B. Steverding, Int. J. of Fract. Mech.,5, 243 (1969).Google Scholar
  22. 22.
    A. G. Ivanov, V. N. Mineev, et al., Fiz. Goreniya Vzryva,10, No. 4, 603 (1974).Google Scholar
  23. 23.
    V. I. Betekhtin and S. N. Zhurkov, Probl. Prochn.,2, 39 (1971).Google Scholar
  24. 24.
    P. L. Pratt, Vacancies and Point Defects [Russian translation], Metallurgizdat, Moscow (1961).Google Scholar
  25. 25.
    M. J. Klein, Philos. Mag.,12, 735 (1965).Google Scholar
  26. 26.
    E. M. Shevandin and I. N. Kisin, Zh. Tekh. Fiz.,9, 957 (1939).Google Scholar
  27. 27.
    A. A. Wells, Trans. N. Coast Inst. Eng. Shipbuild.,71, 278 (1955).Google Scholar
  28. 28.
    E. M. Shevandin, I. A. Razov and B. N. Serpeninov, Zavod. Lab.,22, 1339 (1956).Google Scholar
  29. 29.
    E. M.Shevandin, I. A. Razov, et al., Dokl. Akad. Nauk SSSR,113, 1057 (1957).Google Scholar
  30. 30.
    E. Orowan, J. Appl. Phys.,26, 900 (1955).CrossRefGoogle Scholar
  31. 31.
    C. J. Phillips, in: Fracture [Russian translation], Vol. 7, Part 1, Mir, Moscow (1976).Google Scholar
  32. 32.
    G. M. Bartenev and Yu. S. Zuev, Strength and Fracture of Highly Plastic Materials [in Russian], Khimiya, Moscow—Leningrad (1964).Google Scholar
  33. 33.
    J. Pearson and J. S. Rinehart, Explosive Working of Metals, Pergamon (1963).Google Scholar
  34. 34.
    G. V. Raevskii, Avtom. Svarka,6, 3 (1955).Google Scholar
  35. 35.
    Residual Stresses: A Collection [in Russian], IL, Moscow (1957).Google Scholar
  36. 36.
    S. S. Kanfor, Structural Steel [in Russian], Sudpromgiz, Leningrad (1960).Google Scholar
  37. 37.
    D. M. Shur, Tr, TsNIITMASh, No.40 (1953).Google Scholar
  38. 38.
    L. S. Livshits, Stroit. Truboprovodov,3, 18 (1968).Google Scholar
  39. 39.
    V. V. Rozhdestvenskii, Stroit. Truboprovodov,5, 27 (1970).Google Scholar
  40. 40.
    A. N. Monoshkov, V. A. Lupin, and V. G. Mindlin, in: Resistance of Welded Structures to Brittle Fracture [in Russian], LDNTP, Leningrad (1971).Google Scholar
  41. 41.
    Ya. Nemets, in: Investigation of Stresses and Strength of a Reactor Vessel [in Russian], Atomizdat, Moscow (1968).Google Scholar
  42. 42.
    Ya. Nemets, Strength Calculations for Pressure Vessels [in Russian], Mashinostroenie, Moscow (1964).Google Scholar
  43. 43.
    Ya. B. Fridman, Mechanical Properties of Metals [in Russian], Vol. 1, Mashinostroenie, Moscow (1974).Google Scholar
  44. 44.
    G. M. Bartenev and L. K. Izmailova, Dokl. Akad. Nauk SSSR,146, 1136 (1962).Google Scholar
  45. 45.
    D. Ya. Éidel'man, Stories about Shipwrecks [in Russian], Sudostroenie, Leningrad (1973).Google Scholar
  46. 46.
    A. G. Ivanov and S. A. Novikov, Zh. Eksp. Tekh. Fiz.,40, 1880 (1961).Google Scholar
  47. 47.
    A. G. Ivanov, S. A. Novikov, and Yu. I. Tarasov, Fiz. Tverd. Tela,4, 249 (1962).Google Scholar
  48. 48.
    E. F. Gryaznov, V. A. Odintsov, and V. V. Selivanov, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela,6, 1948 (1976).Google Scholar
  49. 49.
    N. N. Davidenkov, Some Problems in the Mechanics of Materials [in Russian], Lenizdat, Leningrad (1943).Google Scholar
  50. 50.
    Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena [in Russian], GIFML, Moscow (1963).Google Scholar
  51. 51.
    L. D. Landau and E. M. Lifshits, Fluid Mechanics, Pergamon (1959).Google Scholar
  52. 52.
    L. V. Al'tshuler, Usp. Fiz. Nauk,85, 197 (1965).Google Scholar
  53. 53.
    G. V. Stepanov, Probl. Prochn.,2, 109 (1971).Google Scholar
  54. 54.
    D. R. Curran, D. A. Shockey, and L. Seaman, J. Appl. Phys.,44, 4025 (1973).ADSCrossRefGoogle Scholar
  55. 55.
    E. I. Bogdanovskaya, L. V. Dubnov, et al., Fiz. Goreniya Vzryva,11, No. 5, 781 (1975).Google Scholar
  56. 56.
    F. F. Vitman, M. I. Ivanov, and B. S. Ioffe, Fiz.-Khim. Mekh. Mater.,18, 717 (1964).Google Scholar
  57. 57.
    Kh. Kol'skii, in: Atomic Mechanism of Fracture [in Russian], Metallurgizdat, Moscow (1963).Google Scholar
  58. 58.
    G. A. Carison, J. Appl. Phys.,46, 4069 (1975).ADSCrossRefGoogle Scholar
  59. 59.
    J. Rinehart, in: Mekhanika (a collection of translations into Russian),3(19), 96 (1953).Google Scholar
  60. 60.
    J. S. Rinehart, International Symposium on Stress Wave Propagation in Materials, No. 4 (1960), p. 247.Google Scholar
  61. 61.
    K. B. Broberg, International Symposium on Stress Wave Propagation in Materials, No. 4 (1960), p. 229.Google Scholar
  62. 62.
    N. Davids, International Symposium on Stress Wave Propagation in Materials, No. 4 (1960), p. 271.MathSciNetGoogle Scholar
  63. 63.
    G. Nahmani, Les Ondes de Détonation, Paris (1961), p. 451.Google Scholar
  64. 64.
    D. W. Blincow and D. V. Keller, Symposium on Dynamic Behavior of Materials, ASTM, Materials Science, S-5 Tech. Publ. No. 336 (1962), p. 252.Google Scholar
  65. 65.
    Yu. I. Tarasov, Dokl. Akad. Nauk SSSR,165, 323 (1965).Google Scholar
  66. 66.
    L. V. Al'tshuler, S. A. Novikov, and I. I. Divnov, Dokl. Akad. Nauk SSSR,166, 67 (1966).Google Scholar
  67. 67.
    B. M. Butcher, L. M. Barker, et al., RTK,6, 3 (1964).Google Scholar
  68. 68.
    B. R. Breed, C. L. Mader, and D. Venable, J. Appl. Phys.,38, 3271 (1967).ADSCrossRefGoogle Scholar
  69. 69.
    F. R. Tuler, and B. M. Butcher, Int. J. Fract. Mech.,4, 431 (1968).Google Scholar
  70. 70.
    J. E. Peck, H. M. Bercowitz, and L. J. Cohen, Int. J. Fract. Mech.,5, 297 (1969).Google Scholar
  71. 71.
    L. J. Cohen and H. M. Bercowitz, Int. J. Fract. Mech.,7, 183 (1971).Google Scholar
  72. 72.
    B. Steverding and A. H. Werkheiser, Mech. Eng. Sci.,13, 200 (1971).Google Scholar
  73. 73.
    B. Steverding and S. H. Lehnigk, J. Appl. Phys.41, 2096 (1970).ADSCrossRefGoogle Scholar
  74. 74.
    B. Sterverding and S. H. Lehnigk. Int. J.Rock Mech. Min. Sci.,13, 75 (1976).CrossRefGoogle Scholar
  75. 75.
    V. R. Regel', A. I. Slutsker and É. E. Tomashevskii. Usp. Fiz. Nauk,106, 193 (1972).Google Scholar
  76. 76.
    S. N. Zhurkov and T. N. Sanfirova, Fiz. Tverd. Tela,2, 1033 (1960).Google Scholar
  77. 77.
    N. A. Zlatin and B. S. Ioffe, Zh. Tekh. Fiz.,42, 1740 (1972).Google Scholar
  78. 78.
    B. A. Tarasov, Prob. Prochn.,12, 63 (1972).MathSciNetGoogle Scholar
  79. 79.
    B. A. Tarasov, Prob. Prochn.,3, 121 (1974).Google Scholar
  80. 80.
    A. G. Ivanov and V. N. Mineev, Dokl. Akad. Nauk SSSR,220, 575 (1975).Google Scholar
  81. 81.
    N. A. Zlatin, G. S. Pugachev, et al., Fiz. Tverd. Tela,17, 2599 (1975).Google Scholar
  82. 82.
    J. J. Gilman and F. R. Tuler, Int. J. Fract. Mech.,6, 169 (1970).Google Scholar
  83. 83.
    A. G. Ivanov, Fiz. Goreniya Vzryva,11, No. 3, 475 (1975).Google Scholar
  84. 84.
    D. R. Curran, Shock Waves and the Mechanical Properties of Solids, Vol. 5, Syracuse University Press (1971), p. 131.Google Scholar
  85. 85.
    S. N. Zhurkov and É. E. Tomashevskii, in: Some Problems in the Strength of a Solid [in Russian], Izd. Akad. Nauk. SSSR, Moscow-Leningrad (1959), p. 68.Google Scholar
  86. 86.
    M. A. Ivanov, in: Mechanics of Explosive Processes [in Russian], No. 29, Novosibirsk (1977).Google Scholar
  87. 87.
    S. A. Novikov, I. I. Divnov, and A. G. Ivanov, Fiz.-Khim. Mekh. Mater.,21, 608 (1966).Google Scholar
  88. 88.
    C. P. M. Smith, G. Eden, and B. D. Lambourn, Preprints of the Sixth Symposium on Detonation, San Diego, California (1976), P. 419.Google Scholar
  89. 89.
    K. B. Broberg, in: Mekhanika (a collection of translations into Russian),37, 151 (1956).Google Scholar
  90. 90.
    G. V. Stepanov, Probl. Prochn.,8, 66 (1976).Google Scholar
  91. 91.
    O. A. Kleshchevnikov, V. I. Sofronov, et al., Zh. Tekh. Fiz.,47, 1791 (1977).Google Scholar
  92. 92.
    F. R. Tuler, Shock Waves and the Mechanical Properties of Solids, Vol. 17, Syracuse University Press (1971), p. 395.Google Scholar
  93. 93.
    W. E. Baker, in: Proceedings of the Second UN International Conference on the Peaceful Uses of Atomic Energy, UN, Geneva (1958), p. 79.Google Scholar
  94. 94.
    V. V. Adushkin, Zh. Prikl. Mekh. Tekh. Fiz.,5, 107 (1963).Google Scholar
  95. 95.
    W. E. Baker, J. Appl. Phys.,27, 139 (1960).Google Scholar
  96. 96.
    W. E. Baker and F. J. Allen, Proc. Third U. S. National Congress Appl. Mech., N. Y. (1958), p. 79.Google Scholar
  97. 97.
    A. G. Ivanov, S. A. Novikov, and V. A. Sinitsyn, Zh. Prikl. Mekh. Tekh. Fiz.,6, 94 (1968).Google Scholar
  98. 98.
    V. A. Odintsov and L. A. Chudov, in: Problems in the Dynamics of Elasto-Plastic Media, Mekhanika, No. 5 (a collection of translations into Russian). Mir, Moscow (1975).Google Scholar
  99. 99.
    E. M. Shevandin and I. A. Razov, Cold Shortness and Limiting Plasticity of Metals in Shipbuilding [in Russian], Sudostroenie, Leningrad (1965).Google Scholar
  100. 100.
    A. G. Ivanov, V. A. Sinitsyn, and S. A. Novikov, Dokl. Akad. Nauk SSSR,194, 316 (1970).Google Scholar
  101. 101.
    A. G. Ivanov, S. A. Novikov, and V. A. Sinitsyn, Fiz. Goreniya Vzryva,8, No. 1, 124 (1972).Google Scholar
  102. 102.
    V. I. Tsypkin, O. A. Kleshchevnikov, et al., At. Energ.,38, 271 (1975).Google Scholar
  103. 103.
    V. I. Tsypkin, A. G. Ivanov, et al., At. Energ.,41, 303 (1976).Google Scholar
  104. 104.
    P. M. B. Slate, M. J. W. Billings, and P. J. R. Fuller, J. Inst. Met.,59, 244 (1967).Google Scholar
  105. 105.
    A. G. Ivanov, Probl. Prochn.,11, 50 (1976).Google Scholar
  106. 106.
    Kh. A. Rakhmatulin and Yu. A. Demyanov, Strength of Materials under Intensive Short-Term Loads [in Russian], Fizmatgiz, Moscow (1961).Google Scholar
  107. 107.
    J. F. Proctor, Exp. Mech.,10, 458 (1970).CrossRefGoogle Scholar
  108. 108.
    H. A. Liebowitz, A Treatise on Fracture, Vols. 1–7, Academic Press (1968–1972).Google Scholar
  109. 109.
    V. I. Betekhtin, A. I. Zaripov, and A. N. Bakhtibaev, Third All-Union Conference on the Physics of Brittle Fracture [in Russian], Part 1, Kiev (1976).Google Scholar
  110. 110.
    Yu. I. Fadeenko, Zh. Prikl. Mekh. Tekh. Fiz.,6, 154 (1977).Google Scholar
  111. 111.
    E. Orowan, in: Atomic Mechanism of Fracture [Russian translation], Metallurgizdat, Moscov (1963).Google Scholar
  112. 112.
    E. Norris and R. Wylie, in: Impact Testing on Metals, ASTM (1970).Google Scholar
  113. 113.
    T. W. Barbee, Jr., L. Seaman, et al., J. Mater.,7, 393 (1972).CrossRefGoogle Scholar
  114. 114.
    L. Davison and A. L. Stevens, J. Appl. Phys.,43, 988 (1972).ADSCrossRefGoogle Scholar
  115. 115.
    S. Cochran and D. Banner, J. Appl. Phys.,48, 2729 (1977).ADSCrossRefGoogle Scholar
  116. 116.
    S. N. Zhurkov, V. S. Kuksenko, and A. I. Slutsker, Fiz. Tverd. Tela,11, 296 (1969).Google Scholar
  117. 117.
    Yu. A. Voloshenko-Klimovitskii, The Dynamic Yield Point [in Russian], Nauka, Moscow (1965).Google Scholar
  118. 118.
    C. Zener and J. H. Hollomon, J. Appl. Phys.,15, 22 (1944).CrossRefGoogle Scholar
  119. 119.
    Yu. V. Suvorova, Zh. Prikl. Mekh. Tekh. Fiz.,3, 55 (1968).Google Scholar
  120. 120.
    Yu. N. Rabotnov and Yu. V. Suvorova, Prikl. Mat. Mekh.,35, 20 (1971).Google Scholar
  121. 121.
    R. G. Davis and C. L. Magee, Trans. ASME, Ser. D, No. 2, 58 (1975).Google Scholar
  122. 122.
    A. P. Bol'shakov, S. A. Novikov, et al., Zh. Prikl. Mekh. Tekh. Fiz.,1, 184 (1975).Google Scholar
  123. 123.
    S. A. Novikov and V. A. Sinitsyn, Probl. Prochn.,12, 104 (1976).Google Scholar
  124. 124.
    A. M. Kosevich, Usp. Fiz. Nauk,114, 509 (1974).Google Scholar
  125. 125.
    M. Kornfeld, Elasticity and Strength of a Liquid [Russian translation], GITTL, Moscow (1951).Google Scholar
  126. 126.
    S. P. Kozyrev and K. K. Shal'nev, Dokl. Akad. Nauk SSSR,492, 552 (1970).Google Scholar
  127. 127.
    B. M. Rovinskii, V. M. Sinaiskii, and M. Ya. Gal'perin, Fiz.-Khim. Mekh. Mater.,21, 929 (1966).Google Scholar
  128. 128.
    S. A. Novikov, Yu. S. Sobolev, et al., Probl. Prochn.,3, 96 (1977).Google Scholar
  129. 129.
    G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).Google Scholar
  130. 130.
    V. A. Ryzhanskii, V. N. Mineev, et al., Mekh. Polim.,2, 283 (1978).Google Scholar
  131. 131.
    V. Weiss and S. Yukawa, in: Applied Problems in the Ductility of Fracture [Russian translation], Vol. 25, Mir, Moscow (1968).Google Scholar
  132. 132.
    L. D. Volovets, N. A. Zlatin, and G. S. Pugachev, Pis'ma Zh. Tekh. Fiz.,4, 451 (1978).Google Scholar
  133. 133.
    L. D. Volovets, N. A. Zlatin, and G. S. Pugachev, Pis'ma Zh. Tekh. Fiz.,4, 1079 (1978).Google Scholar
  134. 134.
    Yu. I. Fadeenko, Fiz. Goreniya Vzryva,3, No. 2, 276 (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • A. G. Ivanov
  • V. N. Mineev

There are no affiliations available

Personalised recommendations