Details
Original language | English |
---|---|
Pages (from-to) | 2031-2047 |
Number of pages | 17 |
Journal | Acta materialia |
Volume | 48 |
Issue number | 9 |
Publication status | Published - 29 May 2000 |
Externally published | Yes |
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
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Materials Science(all)
- Ceramics and Composites
- Materials Science(all)
- Polymers and Plastics
- Materials Science(all)
- Metals and Alloys
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Acta materialia, Vol. 48, No. 9, 29.05.2000, p. 2031-2047.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip
AU - Karaman, I.
AU - Sehitoglu, H.
AU - Beaudoev, A. J.
AU - Chumlyakov, Y. I.
AU - Maier, H. J.
AU - Tomé, C. N.
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) ].
PY - 2000/5/29
Y1 - 2000/5/29
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.
AB - 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.
KW - Austenite
KW - Constitutive equations
KW - Stress-strain relationship
KW - Texture
KW - Twinning
UR - http://www.scopus.com/inward/record.url?scp=0000276744&partnerID=8YFLogxK
U2 - 10.1016/S1359-6454(00)00051-3
DO - 10.1016/S1359-6454(00)00051-3
M3 - Article
AN - SCOPUS:0000276744
VL - 48
SP - 2031
EP - 2047
JO - Acta materialia
JF - Acta materialia
SN - 1359-6454
IS - 9
ER -