Abstract
The reported studies are based on a series of cyclic deformation tests that were conducted at room temperature on decarburized high-purity α-iron specimens in mono-and polycrystalline form. The experimental data cover plastic strain ranges Δε pl in the regime 10−4 ≲ Δε pl ≲ 10−2 and variations in cyclic plastic strain rates έ pl between ∼10-5 and ∼10−2 s−1. In the case of single crystals, the effect of solute carbon (∼30 wt. ppm) was investigated as well. The mechanical data were supplemented by detailed studies of the dislocation arrangements by transmission electron microscopy and of the surface patterns by scanning electron and optical microscopy.
Detailed accounts are given of the following topics: cyclic hardening and saturation, dislocation mechanisms, shape changes due to asymmetric slip of serew dislocations, cyclic stress-strain response and fatigue crack initiation.
Under conventional conditions of “high” έ pl (≲10−4 s−1) the fatigue behaviour of α-iron at room temperature reflects the low mobility of the screw dislocations which is characteristic of the lowttemperature mode of deformation of body-centred cubic (b.c.c.) metals. As a consequence the behaviour exhibits significant differences with respect to that of fatigued face-centred cubic (f.c.c.) metals such as: strongly impeded dislocation multiplication below Δε pl ∼ 5 × 10−4, appreciable secondary slip at higher Δε pl leading to a cell structure (persistent slip bands do not form), shape changes due to asymmetric slip of screw dislocations and a relatively high effective stress level.
The reduction of έ pl and the presence of solute carbon atoms modify this behaviour significantly, making it more similar to that of f.c.c. metals. In all cases it was found that only the athermal component of the peak (saturation) stress but not the latter itself represents a suitable measure of the properties of the dislocation substructure.
On the basis of the cyclic deformation behaviour and of observations of trans-and intergranular fatigue crack initiation it was concluded that the fatigue limit of α-iron is an intrinsic property of the b.c.c. structure whose characteristics, however, are affected sensitively by interstitial impurity content and by the strain rate of the fatigue test.
Résumé
Les résultats rapportés dans le mémoire sont basés sur une série d'essais de déformation cyclique qui ont été conduits à température ambiante sur des échantillons de fer α décarburés à haute pureté sous une forme mono- et polycristalline. Les données expérimentales couvrent les amplitudes de déformation plastique Δε pl correspondant à 10−4 ≲ Δε pl ≲ 10−2 ainsi que des variations dans la vitesse de déformation plastique comprises entre 10-5 et 10-2 s-1. Dans le cas de cristaux simples, on a également étudié les effects du C en solution (∼30 ppm). Les données mécaniques ont été complétées par des études détaillées des arrangements des dislocations, en utilisant la microscopie électronique à transmission, ainsi que les aspects des surfaces en utilisant la microscopie optique et la microscopie électronique à balayage.
On a traité dans le détail les sujets suivants: accroissement cyclique et saturation, mécanisme de dislocation, modification de forme associée à des glissements assymétriques de dislocation vis, réponse cyclique contrainte/dilatation et amorcage de la fissure de fatigue.
Sous les conditions conventionnelles de haute vitesse de déformation plastique (supérieure à 10-4 s-1) le comportement en fatigue du fer α à la température ambiante rend compte de la faible mobilité des dislocations vis, ce qui est caractéristique d'un mode de déformation à basse température des métaux cubiques centrés. En conséquence, le comportement fait état de différences significatives par rapport aux métaux cubiques faces centrés soumis à fatigue tels que: une intense multiplication des dislocations en-dessous Δε pl ∼ 5 × 10−4, un glissement secondaire appréciable pour des valeurs de Δε pl supérieures qui conduit à une structure en cellules (c.à.d que des bandes de glissement persistantes ne se forment point), des modifications de forme dues à des glissements assymétriques de dislocation vis, ainsi qu'un niveau de contrainte effective relativement élevé.
La réduction de la vitesse de déformation plastique et la presence d'atomes de C en solution modifient ce comportement de manière significative, et le rapprochent davantage de celui des métaux cubiques centrés. Dans tous les cas, on a prouvé que seule la composante athermique de la contrainte de saturation, à défaut de cette dernière, représente une mesure appropriée des propriétés des substructures de dislocation.
Sur base du comportement à la déformation cyclique et des observations d'amorcage de fissure de fatigue trans-et intergranulaire, on a conclu que la limite de fatigue du fer α est une propriété intrinsèque d'une structure cubique centrée dont les caractéristiques toutefois, se trouvent être sensiblement affectées par la teneur en impuretés intersticielles et par la vitesse de déformation de l'essai de fatigue.
Similar content being viewed by others
References
J.C. Grosskreutz and H. Mughrabi, in Constitutive Equations in Plasticity, edited by A.S. Argon, MIT Press, Cambridge, Mass. (1975) 251–326.
P.B. Hirsch, in Proceedings of International Conference on the Strength of Metals and Alloys, Supplement to the Transactions of the Japan Institute of Metals 9 (1968) XXX-XXXIX.
J.W. Christian, in Proceedings of Second International Conference on the Strength of Metals and Alloys, Asilomar, American Society for Metals, Metals Park, Ohio (1970) 31–70.
B. Šesták and A. Seeger, Zeitschrift für Metallkunde 69 (1978) 195–202, 355–363, 425–432.
A. Seeger, The Philosophical Magazine, Series 7, 45 (1954) 771–773.
B. Šestàk and A. Seeger, physica status solidi (b) 43 (1971) 433–444.
H. Mughrabi and Ch. Wüthrich. The Philosophical Magazine 33 (1976) 963–984.
H. Mughrabi, K. Herz and F. Ackermann, in Proceedings of Fourth International Conference on the Strength of Metals and Alloys, Nancy, Vol. 3 (1976) 1244–1248.
H. Mughrabi, F. Ackermann and K. Herz, in Fatigue Mechanisms, Proceedings,of an ASTM-NBS-NSF Symposium, edited by J.T. Fong, American Society for Testing and Materials, Philadelphia ASTM-STP 675 (1979) 69–105.
W.A. Wood and W.P. Mason, Journal of Applied Physics 39 (1968) 4514–4516.
C.F. Burdett, The Philosophical Magazine 24 (1976) 1459–1464.
W.P. Mason, Engineering Fracture Mechanics 8 (1976) 89–101.
T. Takamura and K. Ishii, Proceedings of Fifth International Conference on Internal Friction and Ultrasonic Attenuation in Solids, Aachen, edited by D. Lenz and K. Lücke, Springer Verlag, Berlin-Heidelberg-New York, Volume II, (1975) 478–485.
H. Müllner, P. Bajons, H. Kousek and B. Weiss, Proceedings of Fifth International Conference on Internal Friction and Ultrasonic Attenuation in Solids, Aachen, edited by D. Lenz and K. Lücke, Springer Verlag, Berlin-Heidelberg-New York, Volume II, (1975) 76–383.
H. Mughrabi, Zeitschrift für Metallkunde 66 (1975) 719–724.
H. Mughrabi, K. Herz and X. Stark, Acta Metallurgica 24 (1976) 659–668.
H. Mughrabi, R. Kütterer, K. Lubitz and H. Kronmüller, physica status solidi (a) 28 (1976) 261–270.
J.T. Michalak, Acta Metallurgica 13 (1965) 213–222.
K. Herz, H. Mughrabi and M. Wilkens, Arbeitsbericht MPI 77/P3 (in English) des Max-Planck-Instituts für Metallforschung, Institut für Physik, Stuttgart, Federal Republic of Germany (1977).
K. Herz, Doctorate Thesis, Stuttgart University (1976).
X. Stark, Diplom Thesis, Stuttgart University (1973).
J.R. Hancock and J.C. Grosskreutz, Acta Metallurgica 17 (1969) 77–97.
S. Ikeda, Transactions of the Japan Institute of Metals 20 (1979) 235–243.
F.V. LawrenceJr. and R.C. Jones, Metallurgical Transactions 1 (1970) 367–376.
A. Yoshikawa and M. Okamoto, Supplement to Transactions of the Japan Institute of Metals 9 (1968) 471–475.
S. Ikeda, in Proceedings of 5th International Conference on the Strength of Metals and Alloys, Aachen Vol. 2 (1979) 1157–1162.
J. Krejči and P. Lukáš, physica status solidi (a) 5 (1971) 315–325.
W.A. Wood, W.H. Reimann and K.R. Sargant, Transactions of the Metallurgical Society of AIME 230 (1964) 511–518.
P. Lukáš and M. Klesnil, Czechoslovak Journal of Physics B 14 (1964) 600–607.
P. Lukáš, M. Klesnil and P. Rys, Zeitschrift für Metallkunde 56 (1965) 109–113.
J.T. McGrath and W.J. Bratina, The Philosophical Magazine 12 (1965) 1293–1305.
Y. Bergström, O. Vingsbo and G. Lagerberg, Materials Science and Engineering 5 (1969/70) 153–162.
H. Abdel Raouf, P.P. Benham and A. Plumtre, Canadian Metallurgy Quarterly 30 (1971) 87–95.
O.K. Chopra and C.V.B. Gowda, The Philosophical Magazine 30 (1974) 583–591.
R.P. Wei and A.J. Baker, The Philosophical Magazine 12 (1965) 1005–1020.
H.D. Nine, The Philosophical Magazine 26 (1972) 1409–1418.
R. Neumann, Zeitschrift für Metallkunde 66 (1975) 25–32.
M. Anglada and F. Guiu, in Proceedings of 5th International Conference on the Strength of Metals and Alloys, Aachen Vol. 2 (1979) 1237–1241.
F. Ackermann, Max-Planck-Institut für Metallforschung (1978/79), unpublished work.
H.D. Solomon and C.J. McMahonJr. in Work-Hardening, edited by J.P. Hirth and J. Weertmann Gordon and Breach, New York (1968) 311–332.
A. Seeger and B. Šesták, Scripta Metallurgica 5 (1971) 875–882.
H. Mughrabi, Scripta Metallurgica 13 (1979) 479–484.
H. Mughrabi, in Proceedings of Fifth International Conference on the Strength of Metals and Alloys, Aachen (1979) edited by P. Haasen, V. Gerold and G. Kostorz, Pergamon Press, Oxford and New York Vol. 3 (1980) 1615–1638.
H. Abdel Raouf and A. Plumtree, Metallurgical Transactions 2 (1971) 1863–1867.
H. Abdel Raouf, A. Plumtree and T.H. Topper, in Cyclic Stress-Strain Behaviour-Analysis, Experimentation and Failure Prediction, ASTM STP 519, American Society for Testing and Materials (1973) 28–57.
H.F. Wachob and H.H. Johnson, Metallurgical Transactions 10A (1979) 305–310.
A.T. Winter, The Philosophical Magazine 30 (1974) 719–738.
P.J. Woods, The Philosophical Magazine 28 (1973) 155–191.
H. Mughrabi, Materials Science and Engineering 33 (1978) 207–223.
M. Doner, J.C. Diprimio and E.I. Salkovitz, Acta Metallurgica 21 (1973) 1547–1559.
M. Hempel, A. Kochendörfer and E. Hillnhagen, Archiv für das Eisenhüttenwesen 28 (1957) 433–444.
D.V. Wilson and J.K. Tromans, Acta Metallurgica 18 (1970) 1197–1208.
C.E. Feltner and C. Laird, Transactions of the Metallurgical Society of AIME 245 (1969) 1372–1373.
H. Abdel Raouf and A. Plumtree, Metallurgical Transactions 2 (1970) 1251–1254.
P. Lukáš and M. Klesnil, Materials Science and Engineering 11 (1973) 345–356.
C.S. Smith and L. Guttman, Transactions AIME 197 (1953) 81–87, Journal of Metals (January 1953).
D.J. Abson and J.J. Jonas, Metal Science Journal 4 (1970) 24–28.
M. Hempel, in Fracture, edited by B.L. Averbach, D.K. Felbeck, G.T. Hahn and D.A. Thomas, Technology Press MTT and John Wiley & Sons, Inc., New York (1959) 376–411.
H.D. Nine, Journal of Applied Physics 44 (1973) 4875–4881.
M. Hempel, A. Kochendörfer and E. Hillnhagen, Archiv für das Eisenhüttenwesen 28 (1957) 417–422.
H.A. Lipsitt and G.T. Horne, Proceedings of the International Conference on Fatigue of Metals, The Institution of Mechanical Engineers and The American Society of Mechanical Engineers (1956) 513–519.
M. Saletore and R. Taggart, Materials Science and Engineering 36 (1978) 259–270.
V.S. Ivanova, V.M. Goritskiy, L.G. Orlov, nd V.F. Terent'yev, Fizika metallov i metallovedenia 34 (1972) 456–463.
V.F. Terent'yev, I.S. Kogan and L.G. Orlov, Fizika metallov i metallovedenia 40 (1975) 199–202.
R.C. Boettner and A.J. McEvilyJr., Acta Metallurgica 13 (1965) 937–946.
D.J. Lloyd and A.P. Greenough, Metal Science Journal 4 (1970) 180–183.
J. Awatani, K. Katagiri and A. Koreeda, Bulletin of the Japan Society of Mechanical Engineers 12 (1969) 1320–1328.
D.I. Golland and P.L. James, Acta Metallurgica 15 (1967) 1889–1894.
D.I. Golland and P.L. James, Metal Science Journal 4 (1970) 113–118.
H. Nisitani and K. Takao, in proceedings of the 1971 International Conference on Mechanical Behaviour of Materials, The Society of Materials Science, Japan, Vol. II (1972) 153–164.
K. Katagiri, J. Awatani, A. Omura, K. Koyanagi and T. Shiraishi, in Fatigue Mechanisms, Proceedings of an ASTM-NBS-NSF symposium, edited by J.T. Fong, American Society for Testing and Materials, Philadelphia (1979) 106–128.
C. Laird and D.J. Duquette, in Corrosion Fatigue, NACE-2, edited by A.J. McEvily and R.W. Staehle, National Association of Corrosion Engineers, Houston (1971) 88–117.
P. Beardmore and P.H. Thornton, Acta Metallurgica 18 (1970) 109–115.
H. Mughrabi, Proceedings of NATO Advanced Study Institute on Surface Effects in Crystal Plasticity, edited by R.M. Latanision and J.T. Fourie, Noordhoff, Leyden (1977) 479–485.
T. Magnin and J.H. Driver, Materials Science and Engineering 39 (1979) 175–185.
A. Wöhler, cf. abstracted account in Engineering (London) 11 (1871) 199–200, 221, 244, 261, 299–300, 327, 349–350, 397, 439–441.
H.A. Lipsitt and G.T. Horne, American Society for Testing Materials, Proceedings 57 (1957) 587–599.
G. Oates and D.V. Wilson, Acta Metallurgica 12 (1964) 21–33.
P.O. Kettunen, Journal of the Iron and Steel Institute 202 (1964) 209–215.
M. Klesnil, Metal Treatment and Drop Forging 32 (1965) 55–63.
J.T. McGrath, W.J. Bratina and A. Plumtree, in Quantitative Relation Between Properties and Microstructure, edited by D.G. Brandon and A. Rosen, Israel University Press, Jerusalem (1969) 391–397.
A. Ferro and G. Montalenti, The Philosophical Magazine 10 (1964) 1043–1052.
A. Ferro, P. Mazzetti and G. Montalenti, The Philosophical Magazine 12 (1965) 867–875.
A.M. Adair and H.A. Lipsitt, Transactions of the Metallurgical Society of AIME 236 (1966) 1235–1237.
P. Lukáš, M. Klesnil and J. Polák, Materials Science and Engineering 15 (1974) 239–245.
C. Laird, Materials Science and Engineering 22 (1976) 231–236.
H.J. Gough, 8th Edgar Marburg Lecture, Proceedings of the Thirty-Sixth Annual Meeting, American Society for Testing Materials 33 (1933) 3–114.
U. Dehlinger, Zeitschrift für Metallkunde 44 (1953) 240–242.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mughrabi, H., Herz, K. & Stark, X. Cyclic deformation and fatigue behaviour of α-iron mono-and polycrystals. Int J Fract 17, 193–220 (1981). https://doi.org/10.1007/BF00053520
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00053520