Skip to main content
Erschienen in: Metallurgical and Materials Transactions A 12/2010

01.12.2010

Analysis of Deformation Kinetics in Seven Body-Centered-Cubic Pure Metals Using a Two-Obstacle Model

verfasst von: Paul S. Follansbee

Erschienen in: Metallurgical and Materials Transactions A | Ausgabe 12/2010

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Published temperature and strain-rate-dependent yield stress data in seven nominally pure bcc metals are analyzed according to a two-obstacle model. A strong intrinsic lattice resistance such as a Peierls barrier and a weaker obstacle representing the collective effects of impurity constituents are combined in a single expression and fit to the individual data sets. Sensitivity of the model fits to selected model parameters is assessed. The activation volume for each obstacle is evaluated and examined to validate the underlying model assumptions. Application of the model demonstrates a consistent Peierls barrier in all seven metals and a reasonable carbon-content dependence in iron of the strength of the impurity obstacle.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Fußnoten
1
The polynomial fit is a less than ideal representation but serves the purpose of illustrating the subtle differences between fits 1 through 3.
 
2
As will be shown in Figure 9, the activation volumes between the seven bcc metals analyzed here vary by approximately a factor of 4, which puts into perspective this 35 pct variation in Nb.
 
3
The difference between theoretical predictions and experimental measurements is typically an order of magnitude or more rather than the ~25 pct error accompanying this oversight.
 
Literatur
1.
Zurück zum Zitat J.W. Christian: The Theory of Transformations in Metals and Alloys, 2nd ed., Pergamon Press, Oxford, United Kingdom, 1975, p. 278. J.W. Christian: The Theory of Transformations in Metals and Alloys, 2nd ed., Pergamon Press, Oxford, United Kingdom, 1975, p. 278.
2.
Zurück zum Zitat R.W.K. Honeycombe: The Plastic Deformation of Metals, 2nd ed., Edward Arnold Publishers, Victoria, Australia, 1984, p. 108. R.W.K. Honeycombe: The Plastic Deformation of Metals, 2nd ed., Edward Arnold Publishers, Victoria, Australia, 1984, p. 108.
3.
Zurück zum Zitat H. Conrad and W.D. Robertson: Trans. AIME, 1957, vol. 209, pp. 503–11. H. Conrad and W.D. Robertson: Trans. AIME, 1957, vol. 209, pp. 503–11.
4.
Zurück zum Zitat J.W. Christian: Metall. Trans. A, 1983, vol. 14A, pp. 1237–56.ADS J.W. Christian: Metall. Trans. A, 1983, vol. 14A, pp. 1237–56.ADS
5.
Zurück zum Zitat P.B. Hirsch: Trans. JIM, 1968, vol. 9, Suppl. P.B. Hirsch: Trans. JIM, 1968, vol. 9, Suppl.
6.
Zurück zum Zitat V. Vitek and M.S. Duesbery: in Mechanical Properties of Bcc Metals, M. Meshii, ed., TMS-AIME, Warrendale, PA, 1982, pp. 3–11. V. Vitek and M.S. Duesbery: in Mechanical Properties of Bcc Metals, M. Meshii, ed., TMS-AIME, Warrendale, PA, 1982, pp. 3–11.
7.
Zurück zum Zitat D.F. Stein, J.R. Low, Jr., and A.U. Seybolt: Acta Metall., 1963, vol. 11, pp. 1253–62.CrossRef D.F. Stein, J.R. Low, Jr., and A.U. Seybolt: Acta Metall., 1963, vol. 11, pp. 1253–62.CrossRef
8.
Zurück zum Zitat J.O. Ratka, V.K. Sethi, and R. Gibala: in Mechanical Properties of Bcc Metals, M. Meshii, ed., TMS-AIME, Warrendale, PA, 1982, pp. 103–09. J.O. Ratka, V.K. Sethi, and R. Gibala: in Mechanical Properties of Bcc Metals, M. Meshii, ed., TMS-AIME, Warrendale, PA, 1982, pp. 103–09.
9.
Zurück zum Zitat D.F. Stein: Can. J. Phys., 1967, vol. 45, pp. 1063–74. D.F. Stein: Can. J. Phys., 1967, vol. 45, pp. 1063–74.
10.
Zurück zum Zitat J.D. Campbell and T.L. Briggs: “The Effect of Strain Rate and Temperature on the Yield and Flow of Polycrystalline Niobium and Molybdenum,” Department of Engineering Science Report No. 1091, University of Oxford, Oxford, United Kingdom, 1969. J.D. Campbell and T.L. Briggs: “The Effect of Strain Rate and Temperature on the Yield and Flow of Polycrystalline Niobium and Molybdenum,” Department of Engineering Science Report No. 1091, University of Oxford, Oxford, United Kingdom, 1969.
11.
Zurück zum Zitat S.R. Chen, P.J. Maudlin, and G.T. Gray III: “Mechanical Properties and Constitutive Relations for Molybdenum under High-Strain-Rate Deformation,” Los Alamos National Laboratory Report No. LA-UR-98-1870, Symposium on Molybdenum and Molybdenum Alloys, TMS Annual Meeting, San Antonio, TX, TMS, Warrendale, PA, 1998. S.R. Chen, P.J. Maudlin, and G.T. Gray III: “Mechanical Properties and Constitutive Relations for Molybdenum under High-Strain-Rate Deformation,” Los Alamos National Laboratory Report No. LA-UR-98-1870, Symposium on Molybdenum and Molybdenum Alloys, TMS Annual Meeting, San Antonio, TX, TMS, Warrendale, PA, 1998.
12.
Zurück zum Zitat Abdell-Salam M. Eleiche: “A Literature Survey of the Combined Effects of Strain Rate and Elevated Temperature on the Mechanical Properties of Metals,” AFML-TR-72-125, Air Force Materials Laboratory, Dayton, OH, 1972. Abdell-Salam M. Eleiche: “A Literature Survey of the Combined Effects of Strain Rate and Elevated Temperature on the Mechanical Properties of Metals,” AFML-TR-72-125, Air Force Materials Laboratory, Dayton, OH, 1972.
13.
Zurück zum Zitat G.T. Gray III and S-R. Chen: Los Alamos National Laboratory, Los Alamos, NM, unpublished research, 1993. G.T. Gray III and S-R. Chen: Los Alamos National Laboratory, Los Alamos, NM, unpublished research, 1993.
14.
Zurück zum Zitat S. Nemat-Nasser and W. Guo: Mater. Sci. Eng., 2000, vol. A284, pp. 202–10. S. Nemat-Nasser and W. Guo: Mater. Sci. Eng., 2000, vol. A284, pp. 202–10.
15.
Zurück zum Zitat S.-R. Chen and G.T. Gray III: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 2994–3006.CrossRefADS S.-R. Chen and G.T. Gray III: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 2994–3006.CrossRefADS
16.
17.
Zurück zum Zitat S.-R. Chen and G.T. Gray III: 2nd Int. Conf. on Tungsten and Refractory Metals, Metal Powder Industries Federation, A. Bose and R.J. Dowding, eds., Princeton, NJ, 1995, pp. 489–98. S.-R. Chen and G.T. Gray III: 2nd Int. Conf. on Tungsten and Refractory Metals, Metal Powder Industries Federation, A. Bose and R.J. Dowding, eds., Princeton, NJ, 1995, pp. 489–98.
18.
Zurück zum Zitat D. Brunner and V. Glebovsky: Mater. Lett., 2000, vol. 44, pp. 144–52.CrossRef D. Brunner and V. Glebovsky: Mater. Lett., 2000, vol. 44, pp. 144–52.CrossRef
19.
Zurück zum Zitat Rare Metals Handbook, 2nd ed., D.A. Hampel, ed., Chapman and Hall, New York, NY, 1961. Rare Metals Handbook, 2nd ed., D.A. Hampel, ed., Chapman and Hall, New York, NY, 1961.
20.
Zurück zum Zitat A. Buch: Pure Metals Properties, A Scientific-Technical Handbook, ASM INTERNATIONAL, Materials Park, OH, 1999, p. 54. A. Buch: Pure Metals Properties, A Scientific-Technical Handbook, ASM INTERNATIONAL, Materials Park, OH, 1999, p. 54.
21.
Zurück zum Zitat S. Nemat-Nasser and W. Guo: Mech. Mater., 2000, vol. 32, pp. 243–60.CrossRef S. Nemat-Nasser and W. Guo: Mech. Mater., 2000, vol. 32, pp. 243–60.CrossRef
22.
Zurück zum Zitat H.L. Wain, F. Henderson, S.T.M. Johnston, and N. Louat: J. Inst. Met., 1957, vol. 86, pp. 281–88. H.L. Wain, F. Henderson, S.T.M. Johnston, and N. Louat: J. Inst. Met., 1957, vol. 86, pp. 281–88.
23.
Zurück zum Zitat J.M. Krafft, A.M. Sullivan, and C.F. Tipper: Proc. R. Soc. A, 1953, vol. 221, pp. 114–27.CrossRefADS J.M. Krafft, A.M. Sullivan, and C.F. Tipper: Proc. R. Soc. A, 1953, vol. 221, pp. 114–27.CrossRefADS
24.
Zurück zum Zitat R.W. Armstrong and J.D. Campbell: Proc. 3rd Int. Conf. on the Strength of Metals and Alloys, Institute of Metals, Cambridge, United Kingdom, 1973, pp. 529–33. R.W. Armstrong and J.D. Campbell: Proc. 3rd Int. Conf. on the Strength of Metals and Alloys, Institute of Metals, Cambridge, United Kingdom, 1973, pp. 529–33.
25.
Zurück zum Zitat T. Nojima: in Impact Loading and Dynamic Behaviour of Materials, C.Y. Chiem, H.-D Kunze, and L.W. Meyer, eds., Informationgesellschaft, Verlag, Bremen, Germany, 1988, pp. 357–64. T. Nojima: in Impact Loading and Dynamic Behaviour of Materials, C.Y. Chiem, H.-D Kunze, and L.W. Meyer, eds., Informationgesellschaft, Verlag, Bremen, Germany, 1988, pp. 357–64.
26.
Zurück zum Zitat L.R. Veeser, G.T. Gray III, J.E. Vorthman, P.J. Rodriquez, and R.S. Hixson: Shock Compression of Condensed Matter—1999, AIP Conf. Proc., M.D. Furnish, L.C. Chhabildas, and R.S. Hixson, eds., American Institute of Physics Press, Woodbury, NY, 2000, pp. 73–76. L.R. Veeser, G.T. Gray III, J.E. Vorthman, P.J. Rodriquez, and R.S. Hixson: Shock Compression of Condensed Matter—1999, AIP Conf. Proc., M.D. Furnish, L.C. Chhabildas, and R.S. Hixson, eds., American Institute of Physics Press, Woodbury, NY, 2000, pp. 73–76.
27.
Zurück zum Zitat G.T. Gray III, D.B. Hayes, and R.S. Hixson: J. Phys. IV, 2000, vol. 10, pp. 755–60.CrossRef G.T. Gray III, D.B. Hayes, and R.S. Hixson: J. Phys. IV, 2000, vol. 10, pp. 755–60.CrossRef
29.
Zurück zum Zitat D.L. Davidson, U.S. Lindholm, and L.M. Yeakley: Acta Metall., 1966, vol. 14, pp. 703–10.CrossRef D.L. Davidson, U.S. Lindholm, and L.M. Yeakley: Acta Metall., 1966, vol. 14, pp. 703–10.CrossRef
30.
31.
Zurück zum Zitat J.S. Erickson and J.R. Low, Jr.: Acta Metall., 1957, vol. 5, pp. 405–06.CrossRef J.S. Erickson and J.R. Low, Jr.: Acta Metall., 1957, vol. 5, pp. 405–06.CrossRef
32.
Zurück zum Zitat P.S. Follansbee, J.P. Ledesma, and S. Starrett: University of California at San Diego, San Diego, CA, unpublished research, 1988. P.S. Follansbee, J.P. Ledesma, and S. Starrett: University of California at San Diego, San Diego, CA, unpublished research, 1988.
33.
Zurück zum Zitat N. Nagata, S. Yoshida, and Y. Sekino: Trans. ISIJ, 1970, vol. 10, pp. 173–80. N. Nagata, S. Yoshida, and Y. Sekino: Trans. ISIJ, 1970, vol. 10, pp. 173–80.
34.
Zurück zum Zitat T.E. Mitchell, P. Peralta, and J.P. Hirth: Acta Mater., 1999, vol. 47, pp. 3687–94.CrossRef T.E. Mitchell, P. Peralta, and J.P. Hirth: Acta Mater., 1999, vol. 47, pp. 3687–94.CrossRef
35.
Zurück zum Zitat T.E. Mitchell, J.P. Hirth, and P. Peralta: in Advanced Materials for the 21st Century, Y.-W. Chung, D.C. Dunand, P.K. Liaw, and G.B. Olson, eds., TMS, Warrendale, PA, 1999, pp. 137–47. T.E. Mitchell, J.P. Hirth, and P. Peralta: in Advanced Materials for the 21st Century, Y.-W. Chung, D.C. Dunand, P.K. Liaw, and G.B. Olson, eds., TMS, Warrendale, PA, 1999, pp. 137–47.
36.
Zurück zum Zitat P.S. Follansbee and U.F. Kocks: Acta Metall., 1988, vol. 36, pp. 81–93.CrossRef P.S. Follansbee and U.F. Kocks: Acta Metall., 1988, vol. 36, pp. 81–93.CrossRef
37.
Zurück zum Zitat P.S. Follansbee and G.T. Gray III: Metall. Trans. A, 1989, vol. 20A, pp. 863–74.ADS P.S. Follansbee and G.T. Gray III: Metall. Trans. A, 1989, vol. 20A, pp. 863–74.ADS
38.
Zurück zum Zitat P.S. Follansbee, J.C. Huang, and G.T. Gray III: Acta Metall., 1990, vol. 38, pp. 1241–54.CrossRef P.S. Follansbee, J.C. Huang, and G.T. Gray III: Acta Metall., 1990, vol. 38, pp. 1241–54.CrossRef
39.
Zurück zum Zitat G. Regazzoni, U.F. Kocks, and P.S. Follansbee: Acta Metall., 1987, vol. 35, pp. 2865–75.CrossRef G. Regazzoni, U.F. Kocks, and P.S. Follansbee: Acta Metall., 1987, vol. 35, pp. 2865–75.CrossRef
40.
Zurück zum Zitat U.F. Kocks, A.S. Argon, and M.F. Ashby: Progress in Materials Science V, Pergamon Press, Oxford, United Kingdom, 1975, vol. 19, p. 142. U.F. Kocks, A.S. Argon, and M.F. Ashby: Progress in Materials Science V, Pergamon Press, Oxford, United Kingdom, 1975, vol. 19, p. 142.
42.
Zurück zum Zitat R. Gröger, A.G. Vailey, and V. Vitek: Acta Mater., 2008, vol. 56, pp. 5401–11.CrossRef R. Gröger, A.G. Vailey, and V. Vitek: Acta Mater., 2008, vol. 56, pp. 5401–11.CrossRef
43.
44.
Zurück zum Zitat J.W. Christian: in Strengthening Methods in Crystals, A. Kelly and R.B. Nicholson, eds., John Wiley & Sons, New York, NY, 1971, p. 286. J.W. Christian: in Strengthening Methods in Crystals, A. Kelly and R.B. Nicholson, eds., John Wiley & Sons, New York, NY, 1971, p. 286.
45.
Zurück zum Zitat D.F. Stein and J.R. Low, Jr.: Acta Metall., 1966, vol. 14, pp. 1183–94.CrossRef D.F. Stein and J.R. Low, Jr.: Acta Metall., 1966, vol. 14, pp. 1183–94.CrossRef
Metadaten
Titel
Analysis of Deformation Kinetics in Seven Body-Centered-Cubic Pure Metals Using a Two-Obstacle Model
verfasst von
Paul S. Follansbee
Publikationsdatum
01.12.2010
Verlag
Springer US
Erschienen in
Metallurgical and Materials Transactions A / Ausgabe 12/2010
Print ISSN: 1073-5623
Elektronische ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-010-0372-6

Weitere Artikel der Ausgabe 12/2010

Metallurgical and Materials Transactions A 12/2010 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.