Mechanical Waves and Strain-Rate Effects in Metals

  • Harry G. Hopkins
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

The dependence of the mechanical behaviour of certain metals, particularly mild steel, upon strain-rate has been well known and studied now for a long time. Investigations of strain-rate effects in metals have both interest and importance.

Keywords

Explosive Stein Folk 

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References

  1. [1]
    Campbell, J. D., and J. Duby: Proc. Roy. Soc. London A 236, 24 (1956).ADSCrossRefGoogle Scholar
  2. [2]
    Marsh, K. J., and J. D. Campbell: J. Mech. Phys. Solids 11, 49 (1963).ADSCrossRefGoogle Scholar
  3. [3]
    Kolsky, H.: Stress Waves in Solids, Oxford: Clarendon Press 1953.MATHGoogle Scholar
  4. [4]
    Morland, L. W.: Phil. Trans. Roy. Soc. London A 251, 341 (1959).MathSciNetADSMATHCrossRefGoogle Scholar
  5. [5]
    Cottrell, A. H.: Proceedings of the Conference on the Properties of Materials at High Rates of Strain, London: Institution of Mechanical Engineers 1957, p.1.Google Scholar
  6. [6]
    Taylor, G. I.: J. Instn. Civ. Engrs. 26, 486 (1946).Google Scholar
  7. [7]
    Harding, J., E. O. Wood and J. D. Campbell: J. Mech. Engng. Sei. 2, 88 (1960).CrossRefGoogle Scholar
  8. [8]
    Lee, E. H., and H. Wolf: J. Appl. Mech. 18, 379 (1951).Google Scholar
  9. [9]
    Kolsky, H.: Structural Mechanics (edited by J. N. Goodier and N. J. Hoff), Oxford, etc.: Pergamon Press 1960, p. 233.Google Scholar
  10. [10]
    Love, A. E. H.: The Mathematical (Theory of Elasticity, fourth Edition, Cambridge: University Press 1927.MATHGoogle Scholar
  11. [11]
    Redwood, M.: Mechanical Waveguides, Oxford, etc.: Pergamon Press 1960.Google Scholar
  12. [12]
    Pochhammer, L.: J. reine angew. Math. 81, 324 (1876).Google Scholar
  13. [13]
    Chree, C.: Trans. Camb. Phil. Soc. 14, 250 (1889).ADSGoogle Scholar
  14. [14]
    Davies, R. M.: Surveys in Mechanics (edited by G. K. Batchelor and R. M. Davies), Cambridge: University Press 1956, p. 64.Google Scholar
  15. [15]
    Abramson, H. N., H. J. Plass and E. A. Ripperger: Advances in Applied Mechanics, Vol. 5 (edited by H. L. Dryden and Th. von Kármán), New York: Academic Press 1958, p. 111.CrossRefGoogle Scholar
  16. [16]
    Miklowitz, J.: Appl. Mech. Rev. 13, 865 (1960).MathSciNetGoogle Scholar
  17. [17]
    Bancroft, D.: Phys. Rev. (2) 59, 588 (1941).ADSCrossRefGoogle Scholar
  18. [18]
    Davies, R. M.: Phil. Trans. Roy. Soc. London A 240, 375 (1948).ADSMATHCrossRefGoogle Scholar
  19. [19]
    Skalak, R.: J. Appl. Mech. 24, 59 (1957).MathSciNetMATHGoogle Scholar
  20. [20]
    Folk, R., G. Fox, C. A. Shook and C. W. Curtis: J. Acoust. Soc. Amer. 30, 552 (1958).MathSciNetADSCrossRefGoogle Scholar
  21. [21]
    McNiven, H. D., and D. C. Perry: J. Acoust. Soc. Amer. 34, 433 (1962).MathSciNetADSCrossRefGoogle Scholar
  22. [22]
    Hsieh, D. Y., and H. Kolsky: Proc. Phys. Soc. 71, 608 (1958).ADSCrossRefGoogle Scholar
  23. [23]
    Green, W. A.: Progress in Solid Mechanics, Vol. I (edited by I. N. Sneddon and R. Hill), Amsterdam: North-Holland Publ. Co. 1960, p. 225.Google Scholar
  24. [24]
    Rayleigh: The Theory of Sound, Vol.1, second Edition, London: MacMillan 1894, p. 251.Google Scholar
  25. [25]
    Mindlin, R. D., and G. Herrmann: Proceedings of the First U.S. National Congress of Applied Mechanics, New York: American Society of Mechanical Engineers 1952, p. 187.Google Scholar
  26. [26]
    Hunter, S. C., and I. A. Johnson: These Proceedings, p. 149.Google Scholar
  27. [27]
    Hopkinson, J.: Proc. Manchester Lit. Phil. Soc. 11, 40, 119 (1872).Google Scholar
  28. [28]
    Hopkinson, B.: Proc. Roy. Soc. London A 74, 498 (1904).Google Scholar
  29. [29]
    Ludwik, P.: Phys. Z. 10, 411 (1909).Google Scholar
  30. [30]
    Deutler, H.: Phys. Z. 33, 247 (1932).Google Scholar
  31. [31]
    Prandtl, L.: Z. angew. Math. Mech. 8, 85 (1928).MATHCrossRefGoogle Scholar
  32. [32]
    Hunter, S. C.: unpublished U.K. War Office report 1962.Google Scholar
  33. [33]
    von Kármán, Th., and P. Duwez: J. Appl. Phys. 21, 987 (1950).MathSciNetADSMATHCrossRefGoogle Scholar
  34. [34]
    White, M. P., and L. Griffis: J. Appl. Mech. 14, p. A-337 (1947).Google Scholar
  35. [35]
    Taylor, G. I.: The Scientific Papers of G. I. Taylor, Vol. I, Mechanics of Solids (edited by G. K. Batohelor), Cambridge: University Press 1958, pp. 456, 467.Google Scholar
  36. [36]
    Rakhmatulin, Kh. A.: Prikl. Mat. Mekh. 9, 91 (1945).MathSciNetMATHGoogle Scholar
  37. [37]
    Donnell, L. H.: Trans. Amer. Soc. Mech. Engrs. 52 (I), APM, p. 153 (1930).Google Scholar
  38. [38]
    Duwez, P. E., and D. S. Clark: Proc. Amer. Soc. Test. Mat. 47, 502 (1947).Google Scholar
  39. [39]
    Sokolovsky, V. V.: Prikl. Mat. Mekh. 12, 261 (1948).Google Scholar
  40. [40]
    Soeiolovsky, V. V.: Doklady Akad. Nauk. SSSR 60, 775 (1948).MathSciNetGoogle Scholar
  41. [41]
    Malvern, L. E.: Quart. Appl. Math. 8, 405 (1950).MathSciNetGoogle Scholar
  42. [42]
    Malvern, L. E.: J. Appl. Mech. 18, 203 (1951).MathSciNetGoogle Scholar
  43. [43]
    Lee, E. H.: Verformung und Fließen des Festkörpers (edited by R. Grammel), Berlin/Göttingen/Heidelberg: Springer-Verlag 1956, p. 129.Google Scholar
  44. [44]
    Bell, J. F.: Technical Report No. 5, Baltimore: Department of Mechanical Engineering, The Johns Hopkins University 1951.Google Scholar
  45. [45]
    Sternglass, E. J., and D. A. Stuart: J. Appl. Mech. 20, 427 (1953).Google Scholar
  46. [46]
    Alter, B. E. K., and C. W. Curtis: J. Appl. Phys. 27, 1079 (1956).ADSCrossRefGoogle Scholar
  47. [47]
    Rubin, R. J.: J. Appl. Phys. 25, 528 (1954).MathSciNetADSMATHCrossRefGoogle Scholar
  48. [48]
    Riparbelli, C.: Proceedings of the First Midwestern Conference on Solid Mechanics, Urbana: University of Illinois 1953, p. 148.Google Scholar
  49. [49]
    Bell, J. F., and A. Stein: J. Mécan. 1, 395 (1962).Google Scholar
  50. [50]
    Bell, J. F.: J. Appl. Phys. 34, 134 (1963).ADSCrossRefGoogle Scholar
  51. [51]
    Kolsky, H., and L. S. Douch: J. Mech. Phys. Solids 10, 195 (1962).ADSCrossRefGoogle Scholar
  52. [52]
    Johnson, J. E., D. S. Wood, and D. S. Clark: J. Appl. Mech. 20, 523 (1953).Google Scholar
  53. [53]
    Plass Jr., H. J., and E. A. Ripperger: Plasticity (edited by E. H. Lee and P. S. Symonds), Oxford, etc.: Pergamon Press 1960, pp. 453, 475.Google Scholar
  54. [54]
    Hauser, F. E., J. A. Simmons, and J. E. Dorn: Response of Metals to High Velocity Deformation (edited by P. G. Shewmon and V. F. Zackay), New York and London: Interscience Publishers 1961, p. 93.Google Scholar
  55. [55]
    Kröner, E.: Appl. Mech. Rev. 15, 599 (1962).Google Scholar

Copyright information

© Springer Verlag, Berlin / Göttingen / Heidelberg 1964

Authors and Affiliations

  • Harry G. Hopkins
    • 1
  1. 1.Royal Armament Research and Development EstablishmentKentEngland

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