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Part of the book series: Encyclopedia of Physics / Handbuch der Physik ((HBUP))

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Abstract

Fracture produced by a monotonically increasing force represents the terminal point of a process of inelastic deformation at which the rate of such deformation is no longer sufficient to prevent the rapid spreading and coalescence of existing submicroscopic cracks. Under a repeatedly applied cyclic force, however, fracture is finally produced by a force-amplitude which is far below the force associated with fracture under a single load application; this amplitude decreases with increasing number of repetitions. If the number is relatively large, fracture occurs well within the range of stresses and deformations which, at least phenomenologically, can be considered elastic. Such fractures are designated as fatigue fractures. They occur without any noticeable overall permanent deformation, and the fracture surfaces in metals have a characteristic appearance which indicates the progressive character of the fatigue damage (Fig. 1): A smooth zone of brittle separation, showing “clam shell” markings which represent the outline of the fatigue crack at various periods in its growth, starts from one or several nuclei (stress concentrations) indicating the immediate “cause” or causes of the fatigue fracture, and spreads gradually; when the remaining cross-section can no longer withstand even a single further application of the cyclic force, fracture by momentary overload suddenly starts, producing a surface of coarse crystalline appearance. It is only at this stage that the crack-propagation mechanism associated with fracture under a single rapid load application becomes relevant with respect to fatigue fracture.

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References

  1. a) Smith, J. O.: Univ. Illinois Engng. Exp. Stat. Bull. No. 334 (1942).

    Google Scholar 

  2. b) Gough, H. J., H. V. Pollard and W. J. Clenshaw: Aeron. Res. Council Rep. and Mem. No. 2522 (1951).

    Google Scholar 

  3. c) Findley, W. N.: Nat. Adv. Comm. Aeron. Tech. Note No. 2924 (1952).

    Google Scholar 

  4. d) Marin, J.: Int. Conference on Fatigue of Metals, London Session 2, Paper 12 (1956).

    Google Scholar 

  5. Clark, D. S., and D. S. Wood: Proc. Amer. Soc. Test. Mater. 49, 717 (1949);

    CAS  Google Scholar 

  6. Clark, D. S., and D. S. Wood: Proc. Amer. Soc. Test. Mater. 53, 755 (1953).

    Google Scholar 

  7. Clark, D. S., and D. S. Wood: Trans. Amer. Soc. Metals 43, 571 (1951);

    Google Scholar 

  8. Clark, D. S., and D. S. Wood: Trans. Amer. Soc. Metals 45, 620 (1953).

    Google Scholar 

  9. a) Weibull, W.: Trans. Roy. Inst. Tech., Stockholm 10, 29 (1949).

    Google Scholar 

  10. b) Freudenthal, A. M.: Proc. Amer. Soc. Test. Mater. 51, 583 (1951).

    Google Scholar 

  11. Moore, H. F., and T. Ver: Univ. Illinois Engng. Exp. Stat. Bull. No. 208 (1930).

    Google Scholar 

  12. Oshiba, F.: Sci. Rep. Tôhoku Univ. 23, 589 (1934).

    Google Scholar 

  13. Koerber, F.: Proc. Fifth Internat. Congress Appl. Mech., Cambridge, Mass., 20, 1938.

    Google Scholar 

  14. a) Gough, H. J.: Proc. Amer. Soc. Test. Mater. 33, 3 (1933).

    Google Scholar 

  15. b) Gough, H. J., and W. A. Wood: Proc. Roy. Soc. Lond., Ser. A 154, 510 (1936).

    Article  CAS  Google Scholar 

  16. c) Gough, H. J., and W.A. Wood: Proc. Inst. Mech. Engrs., Lond. 141, 175 (1939).

    Article  CAS  Google Scholar 

  17. a) Wood, W. A., and P.L. Thorpe: Proc. Roy. Soc. Lond., Ser. A 174, 310 (1940).

    Article  Google Scholar 

  18. b) Wood, W. A., and A. K. Head: J. Inst. Met. 79, 89 (1951).

    CAS  Google Scholar 

  19. c) Wood, W. A., A. K. Head and F. P. Bullen: Proc. Roy. Soc. Lond., Ser. A 216, 332 (1953).

    Article  Google Scholar 

  20. d) Wood, W. A., and R. B. Davis: Proc. Roy. Soc. Lond., Ser. A 220, 255 (1954).

    Article  Google Scholar 

  21. e) Wood, W. A.: Fatigue in Aircraft Structures, 1. New York: Academic Press 1956.

    Google Scholar 

  22. f) Wood, W. A., and R. L. Segall: Proc. Roy. Soc. Lond., Ser. A 242, 180 (1957).

    Article  CAS  Google Scholar 

  23. Laurent, P. H.: Publ. sci. et techn. Min. de l’Air No. 256 (1952).

    Google Scholar 

  24. Hempel, M.: Fatigue in Aircraft Structures, p. 83. New York: Academic Press 1956. — Int. Conf. on Fatigue of Metals London, Session 6, Paper 7 (1956).

    Google Scholar 

  25. Smith, G. C.: Proc. Roy. Soc. Lond., Ser. A 242, 189 (1957).

    Article  CAS  Google Scholar 

  26. a) Thompson, N., and N. J. Wadsworth: Phil. Mag. (7) 45, 223 (1954);

    Google Scholar 

  27. a) Thompson, N., and N. J. Wadsworth: Phil. Mag. (8) 1, 113 (1956).

    Article  CAS  Google Scholar 

  28. a) Thompson, N., and N. J. Wadsworth: Phil. Mag. Suppl. 7, 72 (1958).

    CAS  Google Scholar 

  29. b) Thompson, N.: Fatigue in Aircraft Structures, p. 43. New York: Academic Press 1956.

    Google Scholar 

  30. a) Forsyth, P. J.E.: J. Inst. Met. 80, 181 (1951/52);

    CAS  Google Scholar 

  31. a) Forsyth, P. J.E.: J. Inst. Met. 82, 449 (1953/54);

    Google Scholar 

  32. a) Forsyth, P. J.E.: J. Inst. Met. 83, 395 (1955).

    CAS  Google Scholar 

  33. a) Forsyth, P. J.E.: J. Inst. Met. Phil. Mag. 2, 437 (1957).

    Article  CAS  Google Scholar 

  34. a) Forsyth, P. J.E.: Proc. Roy. Soc. Lond., Ser. A 242, 198 (1957).

    Article  Google Scholar 

  35. b) Forsyth, P. J. E.: Fatigue in Aircraft Structures, p. 20. New York: Academic Press 1956.

    Google Scholar 

  36. c) Forsyth, P. J. E.: Int. Conference on Fatigue in Metals, London, Session 6, Paper 5 (1956).

    Google Scholar 

  37. d) Forsyth, P. J.E., and C. A. Stubbington: J. Inst. Met. 83, 173 (1954);

    Google Scholar 

  38. d) Forsyth, P. J.E., and C. A. Stubbington: J. Inst. Met.85, 339 (1957).

    CAS  Google Scholar 

  39. Brown, A. F.: Adv. Physics 1, 427 (1952).

    Article  Google Scholar 

  40. Brown, A. F.: J. Inst. Metals 80, 115 (1952).

    Google Scholar 

  41. a) Yamaguchi, K.: Sci. Pap. Inst. Phys. Chem. Res., Tokyo 8, 289 (1928);

    Google Scholar 

  42. a) Yamaguchi, K.: Sci. Pap. Inst. Phys. Chem. Res., Tokyo 11, 223 (1929).

    CAS  Google Scholar 

  43. b) Cox, H. L., and W. J. Clenshaw: Proc. Roy. Soc. Lond., Ser. A 149, 312 (1935).

    Article  CAS  Google Scholar 

  44. Brown, A. F., and R. W. K. Honeycombe: Phil. Mag. 42, 1146 (1951).

    CAS  Google Scholar 

  45. Gould, A. J.: Int. Conference on Fatigue of Metals, London, Session 4, Paper 2 (1956).

    Google Scholar 

  46. Nishimura, H., and J. Takamura: Mem. Kyoto Univ. 23, 1 (1951).

    Google Scholar 

  47. Leibfried, G.: Z. Physik 127, 344 (1950).

    Article  CAS  Google Scholar 

  48. Wever, F.: Proc. IUTAM Colloquium on Fatigue, Stockholm 1955, p. 299. Berlin: Springer 1956.

    Google Scholar 

  49. a) Dehlinger, U.: Naturwiss. 17, 545 (1929).

    Article  CAS  Google Scholar 

  50. a) Dehlinger, U.: Naturwiss. Metallwirtsch. 10, 26 (1931).

    Google Scholar 

  51. b) Pfarr, B.: Z. techn. Phys. 14, 220 (1933).

    CAS  Google Scholar 

  52. c) Koerber, F., and M. Hempel: Mitt. K.-Wilh.-Inst. Eisenforsch. 17, 255 (1935).

    Google Scholar 

  53. d) Davies, R. B., J. Y. Mann and D. S. Kensley: Int. Conference on Fatigue of Metals, London, Session 6, Paper 9 (1956).

    Google Scholar 

  54. a) Bragg, W. L.: Nature, Lond. 149, 511 (1942).

    Article  Google Scholar 

  55. a) Bragg, W. L.: Trans. N-E. Coast Instn. Engrs. Shipb. 62, 25 (1945).

    Google Scholar 

  56. b) Freudenthal, A.M.: J. Franklin Inst. 248, 523 (1949).

    Article  Google Scholar 

  57. Sinclair, G. M., and W. J. Craig: Trans. Amer. Soc. Metals 44, 929 (1952).

    Google Scholar 

  58. a) Haigh, B. P.: Trans. Faraday Soc. (II) 24, 125 (1928).

    Article  Google Scholar 

  59. b) Lehr, E.: Z. Metallkde. 20, 78 (1928).

    CAS  Google Scholar 

  60. c) Hanstock, R. F.: Proc. Phys. Soc. Lond. 59, 275 (1947).

    Article  CAS  Google Scholar 

  61. d) Gerold, E., and A. Karius: Arch. Eisenhüttenw. 21, 191 (1950).

    Google Scholar 

  62. a) Gough, H. J., and D. Hanson: Proc. Roy. Soc. Lond., Ser. A 104, 539 (1923).

    Google Scholar 

  63. b) Orowan, E.: Proc. Roy. Soc. Lond., Ser. A 171, 79 (1939).

    Article  CAS  Google Scholar 

  64. c) Afanasev, N. N.: J. techn. Physics USSR. 19, 1553 (1940).

    Google Scholar 

  65. Foeppl, O.: J. Iron Steel Inst. (II) 134, 393 (1936).

    Google Scholar 

  66. Oding, I.A.: Proc. IUTAM Colloquium on Fatigue, Stockholm 1955, p. 178. Berlin: Springer 1956.

    Google Scholar 

  67. Mott, N. F.: Proc. IUTAM Colloqiuum on Deformation and Flow of Solids, Madrid 1955, p. 57. Berlin: Springer 1956.

    Google Scholar 

  68. Mason, W. P.: J. Acoust. Soc. Amer. 28, 1207 (1956).

    Article  Google Scholar 

  69. Cottrell, A. H., and D. Hull: Proc. Roy. Soc. Lond., Ser A 242, 211 (1957).

    Article  CAS  Google Scholar 

  70. a) Rosenhain, W.: J. Iron Steel Inst. (II) 70, 189 (1906).

    Google Scholar 

  71. b) Snoek, J.L.: Physica, Haag 8, 711 (1941).

    Article  CAS  Google Scholar 

  72. c) Zener, C: Trans. Amer. Inst. Min. Metallurg. Engrs. 167, 155 (1946).

    Google Scholar 

  73. Freudenthal, A. M., and J. H. Weiner: J. Appl. Phys. 27, 44 (1956).

    Article  Google Scholar 

  74. Freudenthal, A. M.: Proc. Roy. Soc. Lond., Ser. A 187, 416 (1946).

    Article  CAS  Google Scholar 

  75. Epstein, B.: J. Appl. Phys. 19, 140 (1948).

    Article  Google Scholar 

  76. Mises, R. v.: Rév. Math. Univ. Interbalkanique 1, 1 (1936).

    Google Scholar 

  77. Freudenthal, A. M., and E. J. Gumbel: Adv. Appl. Mech. 4, 116 (1955).

    Google Scholar 

  78. Freudenthal, A.M., and E. J. Gumbel: J. Appl. Phys. 25, 1435 (1954).

    Article  Google Scholar 

  79. Freudenthal, A. M., and E. J. Gumbel: Trans. Roy. Soc. Lond., Ser. A 216, 309 (1953).

    Article  CAS  Google Scholar 

  80. Freudenthal, A. M., and E. J. Gumbel: J Amer. Statist. Assoc. 49, 575 (1954).

    Article  Google Scholar 

  81. Freudenthal, A. M.: Proc. IUTAM Colloquium on Fatigue, Stockholm 1955, Berlin: Springer 1956.

    Google Scholar 

  82. Freudenthal, A.M.: Proc. Amer. Soc. Test. Mater. 53, 896 (1953).

    Google Scholar 

  83. Freudenthal, A. M., and R. A. Heller: Fatigue in Aircraft Structures, p. 146. New York: Academic Press 1956.

    Google Scholar 

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Freudenthal, A.M. (1958). Fatigue. In: Flügge, S. (eds) Elasticity and Plasticity / Elastizität und Plastizität. Encyclopedia of Physics / Handbuch der Physik. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43081-1_6

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  • DOI: https://doi.org/10.1007/978-3-662-43081-1_6

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