Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip

Research output: Contribution to journalArticleResearchpeer review

Authors

  • I. Karaman
  • H. Sehitoglu
  • A. J. Beaudoev
  • Y. I. Chumlyakov
  • H. J. Maier
  • C. N. Tomé

External Research Organisations

  • University of Illinois at Urbana-Champaign
  • Tomsk State University
  • Paderborn University
  • Los Alamos National Laboratory
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Details

Original languageEnglish
Pages (from-to)2031-2047
Number of pages17
JournalActa materialia
Volume48
Issue number9
Publication statusPublished - 29 May 2000
Externally publishedYes

Abstract

Stress-strain responses of single and polycrystals of Hadfield steel were modeled using a viscoplastic self-consistent approach. A unique hardening formulation was proposed in the constitutive model incorporating length scales associated with spacing between twin lamellae and grain boundaries. TEM observations lend further support to the length scales incorporated into the constitutive model. Many of the experimental findings were made on [111] and [144] crystal orientations deformed in tension, displaying fine twin lamellae at small strains in addition to slip in intra-twin regions. A natural outcome of the model was the small deformation activity inside the twinned regions and higher deformations between the twins. The model utilized dislocation density as a state variable and predicted the stress-strain responses and texture evolution in single crystals accurately over a broad range of strains. The responses of polycrystals with three grain sizes (100, 300, and 1000 μm) were also captured closely with the model in addition to the twin volume fraction evolution with increasing deformation. Based on the simulations, it was possible to explain unequivocally the upward curvature in stress-strain curves in the single crystals and in coarse grained polycrystals of Hadfield steel. Overall, the combined experimental and modeling efforts provide a reliable tool to characterize slip-twin interaction in low stacking fault energy f.c.c. materials.

Keywords

    Austenite, Constitutive equations, Stress-strain relationship, Texture, Twinning

ASJC Scopus subject areas

Cite this

Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip. / Karaman, I.; Sehitoglu, H.; Beaudoev, A. J. et al.
In: Acta materialia, Vol. 48, No. 9, 29.05.2000, p. 2031-2047.

Research output: Contribution to journalArticleResearchpeer review

Karaman I, Sehitoglu H, Beaudoev AJ, Chumlyakov YI, Maier HJ, Tomé CN. Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip. Acta materialia. 2000 May 29;48(9):2031-2047. doi: 10.1016/S1359-6454(00)00051-3
Karaman, I. ; Sehitoglu, H. ; Beaudoev, A. J. et al. / Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip. In: Acta materialia. 2000 ; Vol. 48, No. 9. pp. 2031-2047.
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title = "Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip",
abstract = "Stress-strain responses of single and polycrystals of Hadfield steel were modeled using a viscoplastic self-consistent approach. A unique hardening formulation was proposed in the constitutive model incorporating length scales associated with spacing between twin lamellae and grain boundaries. TEM observations lend further support to the length scales incorporated into the constitutive model. Many of the experimental findings were made on [111] and [144] crystal orientations deformed in tension, displaying fine twin lamellae at small strains in addition to slip in intra-twin regions. A natural outcome of the model was the small deformation activity inside the twinned regions and higher deformations between the twins. The model utilized dislocation density as a state variable and predicted the stress-strain responses and texture evolution in single crystals accurately over a broad range of strains. The responses of polycrystals with three grain sizes (100, 300, and 1000 μm) were also captured closely with the model in addition to the twin volume fraction evolution with increasing deformation. Based on the simulations, it was possible to explain unequivocally the upward curvature in stress-strain curves in the single crystals and in coarse grained polycrystals of Hadfield steel. Overall, the combined experimental and modeling efforts provide a reliable tool to characterize slip-twin interaction in low stacking fault energy f.c.c. materials.",
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AU - Karaman, I.

AU - Sehitoglu, H.

AU - Beaudoev, A. J.

AU - Chumlyakov, Y. I.

AU - Maier, H. J.

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N1 - Funding Information: This work was supported by the National Science Foundation contract CMS 94-14525 and CMS 99-00090, Mechanics and Materials Program, Arlington, Virginia and a supplement from the NSF International Program. Y.I.C.’s work received support from The Russian Fund for Basic Research, Grant No. 02-95-00350. The facilities at Microanalysis of Materials, Materials Research Laboratory at The University of Illinois were used. This laboratory is funded by DOE-DMS grant DEFG02-96ER45439. The authors would like to thank the reviewer. The reviewer's comments led to refinement of hardening evolution [ equation (21) ].

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N2 - Stress-strain responses of single and polycrystals of Hadfield steel were modeled using a viscoplastic self-consistent approach. A unique hardening formulation was proposed in the constitutive model incorporating length scales associated with spacing between twin lamellae and grain boundaries. TEM observations lend further support to the length scales incorporated into the constitutive model. Many of the experimental findings were made on [111] and [144] crystal orientations deformed in tension, displaying fine twin lamellae at small strains in addition to slip in intra-twin regions. A natural outcome of the model was the small deformation activity inside the twinned regions and higher deformations between the twins. The model utilized dislocation density as a state variable and predicted the stress-strain responses and texture evolution in single crystals accurately over a broad range of strains. The responses of polycrystals with three grain sizes (100, 300, and 1000 μm) were also captured closely with the model in addition to the twin volume fraction evolution with increasing deformation. Based on the simulations, it was possible to explain unequivocally the upward curvature in stress-strain curves in the single crystals and in coarse grained polycrystals of Hadfield steel. Overall, the combined experimental and modeling efforts provide a reliable tool to characterize slip-twin interaction in low stacking fault energy f.c.c. materials.

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