Substructural organization, dislocation plasticity and harmonic generation in cyclically stressed wavy slip metals

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 460, Issue 2043, 2004, Pages 757-780

  Cantrell, John H ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b NONE   (United States)

Author keywords

Dislocation plasticity; Metal fatigue; Nonlinearity parameter; Substructural organization

Indexed keywords

METAL; NICKEL;

ACOUSTICS; ARTICLE; CALCULATION; DENSITY; DISLOCATION; FATIGUE; MODEL; PARAMETER; PLASTICITY; STRESS; VEIN;

EID: 1542617032     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1181     Document Type: Article

References (57)

1. Anton, D. L. & Fine, M. E. 1983 Fatigue crack evolution in overaged Ni-14.4 at.% Al alloy with coherent precipitates. Mater. Sci. Engng 58, 135-142.
2. Antonopoulos, J. G. & Winter, A. T. 1976 Weak-beam study of dislocation structures in fatigued copper. Phil. Mag. 33, 87-95.
3. Antonopoulos, J. G., Brown, L. M. & Winter, A. T. 1976 Vacancy dipoles in fatigued copper. Phil. Mag. 34, 549-563.
4. Basinski, S. J., Basinski, Z. S. & Howie, A. 1969 Early stages of fatigue in copper single crystals. Phil. Mag. 19, 899-924.
5. Brown, L. M. 1981 Dislocations and the fatigue strength of metals. In Dislocation modelling of physical systems (ed. M. F. Ashby, R. Bullough, C. S. Hartley & J. P. Hirth), pp. 51-67. Pergamon.
6. Brown, L. M. 2000 Dislocation plasticity in persistent slip bands. Mater. Sci. Engng A 285, 35-42.
7. Buck, O. 1976 Harmonic generation for measurement of internal stress as produced by dislocations. IEEE Trans. Sonics Ultrason. SU-23, 346-350.
8. Buck, O. & Alers, G. A. 1979 New techniques for detection and monitoring of fatigue damage. In Fatigue and microstructure, pp. 101-147. American Society for Metals.
9. Cantrell, J. H. 1984 Acoustic-radiation stress in solids. I. Theory. Phys. Rev. B 30, 3214-3220.
10. Cantrell, J. H. 1994 Crystalline structure and symmetry dependence of acoustic nonlinearity parameters. J. Appl. Phys. 76, 3372-3380.
11. Cantrell, J. H. & Salama, K. 1991 Acoustoelastic characterisation of materials. Int. Mater. Rev. 36, 125-145.
12. Cantrell, J. H. & Yost, W. T. 1994 Acoustic harmonic generation from fatigue-induced dislocation dipoles. Phil. Mag. A 69, 315-326.
13. Cantrell, J. H. & Yost, W. T. 2000 Determination of precipitate nucleation and growth rates from ultrasonic harmonic generation. Appl. Phys. Lett. 77, 1952-1954.
14. Cantrell, J. H. & Yost, W. T. 2001 Nonlinear ultrasonic characterization of fatigue microstructures. Int. J. Fatigue 23, S487-S490.
15. Christ, H.-J. 1996 Cyclic stress-strain response and microstructure. In ASM handbook, vol. 19, pp. 73-95. ASM International.
16. Essmann, U., Goesele, U. & Mughrabi, H. 1981 Model of extrusions and intrusions in fatigued metals. 1. Point-defect production and the growth of extrusions. Phil. Mag. A 44, 405-426.
17. Frouin, J., Sathish, S., Matikas, T. E. & Na, J. K. 1999 Ultrasonic linear and nonlinear behavior of fatigued Ti-6Al-4V. J. Mater. Res. 14, 1295-1298.
18. Gregor, V. & Kratochvil, J. 1998 Self-organization approach to cyclic microplasticity: a model of a persistent slip band. Int. J. Plasticity 14, 159-172.
19. Grobstein, T. L., Sivashankaran, S., Welsch, G., Paigrahi, N., McGervey, J. D. & Blue, J. W. 1991 Fatigue damage accumulation in nickel prior to crack initiation. Mater. Sci. Engng A 138, 191-203.
20. Hancock, J. R. & Grosskreutz, J. C. 1969 Mechanisms of fatigue hardening in copper single crystals. Acta Metall. 17, 77-97.
21. Hecker, M. & Burmeister, H. J. 1996 Strain localization and internal stress fields in persistent slip bands. Physica Status Solidi A 158, 87-100.
22. Hikata, A., Chick, B. B. & Elbaum, C. 1965 Dislocation contribution to the second harmonic generation of ultrasonic waves. J. Appl. Phys. 36, 229-236.
23. Huang, K. 1950 On the atomic theory of elasticity. Proc. R. Soc. Lond. A 203, 178-194.
24. Hull, D. & Bacon, D. J. 1984 Introduction to dislocations. Pergamon.
25. Kennedy, A. J. 1961 Possible dislocation gating mechanisms for fatigue extrusions. Phil. Mag. 6, 49-53.
26. Kim, W. H. & Laird, C. 1978 Crack nucleation and stage I propagation in high strain fatigue. I. Microscopic and interferometric observations. Acta Metall. 26, 777-787.
27. Koehler, J. S. 1952 Imperfections in nearly perfect crystals. Wiley.
28. Kratochvil, J. 2000 One-dimensional model of formation of dislocation matrix structure and temperature dependence of size of vein pattern. Scr. Mater. 43, 95-101.
29. Kratochvil, J. 2001 Self-organization model of localization of cyclic strain into PSBs and formation of dislocation wall structure. Mater. Sci. Engng A 309-310, 331-335.
30. Kuhlmann-Wilsdorf, D. & Laird, C. 1980 Dislocation behavior in fatigue. V. Breakdown of loop patches and formation of persistent slip bands and of dislocation cells. Mater. Sci. Engng 46, 209-219.
31. Laird, C. 1978 Mechanisms and theories of fatigue. In Fatigue and micro structure, pp. 149-203. American Society for Metals.
32. Lukas, P. 1996 Fatigue crack nucleation and microstructure. In ASM handbook, vol. 19, pp. 96-109. ASM International.
33. Lukas, P., Klesnel, M. & Krejci, J. 1968 Dislocations and persistent slip bands in copper single crystals fatigued at low stress amplitude. Physica Status Solidi A 27, 545-558.
34. Mughrabi, H. 1978 The cyclic hardening and saturation behaviour of copper single crystals. Mater. Sci. Engng 33, 207-223.
35. Mughrabi, H. 1981 Cyclic plasticity of matrix and persistent slip bands in fatigued metals. In Proc. 4th Int. Conf. on Continuum Models of Discrete Systems (ed. O. Brulin & R. K. T. Hsieh), pp. 241-257. North Holland.
36. Mughrabi, H. 1983 Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals. Acta Metall. 9, 1367-1379.
37. Mughrabi, H., Wang, R., Differt, K. & Essmann, U. 1983 Fatigue crack initiation by cyclic slip irreversibilities in high-cycle fatigue. In Fatigue Mechanisms: Advances in Quantitative Measurement of Physical Damage, STP 811, pp. 5-45. American Society of Testing and Materials.
38. Na, J. K., Cantrell, J. H. & Yost, W. T. 1996 Linear and nonlinear properties of fatigued 410Cb stainless steel. In Review of Progress in Quantitative Nondestructive Evaluation (ed D. O. Thompson & D. E. Chimenti), vol. 15, pp. 1347-1352. Plenum.
39. Nazarov, V. E. 1991 Influence of the structure of copper on its acoustic nonlinearity. Fiz. Metal. Metalloved. 3, 172-178. (In Russian.)
40. Nazarov, V. E. & Sutin, A. M. 1997 Nonlinear elastic constants of solids with cracks. J. Acoust. Soc. Am. 102, 3349-3354.
41. Neumann, P. 1983 Fatigue. In Physical metallurgy (ed. R. W. Cahn & P. Haasen), pp. 1554-1594. Elsevier.
42. Sedlacek, R. 1995 Internal stresses in dislocation wall structures. Scr. Metall. Mater. 33, 283-288.
43. Sedlacek, V., Ruscak, M. & Cmakal, J. 1988 Initiation of fatigue cracks in aluminium alloys. In Basic mechanisms in fatigue of metals (ed. P. Lukas & J. Polak), pp. 73-81. Elsevier.
44. Suresh, S. 1991 Fatigue of materials. Cambridge University Press.
45. Sutin, A., Delclos, C. & Lenclud, M. 1995 Investigations of the second harmonic generation due to cracks in large carbon electrodes. In Proc. 2nd Int. Symp. on Acoustical and Vibratory Surveillance Methods and Diagnostic Techniques, Senlis, France, pp. 725-735.
46. Thurston, R. N. 1964 Wave propagation in fluids and normal solids. In Physical acoustics (ed. W. P. Mason), vol. 1, pp. 2-110. Academic.
47. Vasek, A. & Polak, J. 1991 Initiation and propagation of fatigue cracks in Aramco-iron under elastoplastic cyclic loading. Kovove Materialy 27, 113-123.
48. Wallace, D. C. 1970 Thermoelastic theory of stressed crystals and higher-order elastic constants. In Solid state physics (ed. H. Ehrenreich, F. Seitz, & D. Turnbull), vol. 25, pp. 301-403. Academic.
49. Wang, R. & Mughrabi, H. 1984 Secondary cyclic hardening in fatigued copper monocrystals and polycrystals. Mater. Sci. Engng 63, 147-163.
50. Wang, R., Mughrabi, H., McGovern, S. & Rapp, M. 1984 Fatigue of copper single crystals in vacuum and in air. I. Persistent slip bands and dislocation microstructures. Mater. Sci. Engng 63, 219-233.
51. Winter, A. T. 1974 A model for the fatigue of copper at low plastic strain amplitudes. Phil. Mag. 30, 719-738.
52. Winter, A. T. 1978 Nucleation of persistent slip bands in cyclically deformed copper crystals. Phil. Mag. 37, 457-463.
53. Winter, A. T., Pedersen, O. B. & Rassmussen, K. V. 1981 Dislocation microstructures in fatigued copper polycrystals. Acta Metall. 29, 735-748.
54. Wood, W. A., Cousland, S. Mc. & Sargant, K. R. 1963 Systematic microstructural changes peculiar to fatigue deformation. Acta Metall. 11, 643-652.
55. Woods, P. J. 1973 Low-amplitude fatigue of copper and copper-5 at.% aluminium single crystals. Phil. Mag. 28, 155-191.
56. Yost, W. T. & Cantrell, J. H. 1992 Absolute ultrasonic displacement amplitude measurements with a submersible electrostatic acoustic transducer. Rev. Scient. Instrum. 63, 4182-4188.
57. Yost, W. T., Namkung, M. & Allison, S. G. 1987 The use of ultrasonic harmonic generation to determine crack opening conditions in compact tension specimens. In Review of progress in quantitative nondestructive evaluation (ed. D. O. Thompson & D. E. Chimenti), vol. 7B, pp. 1525-1529. Plenum.