Lattice-parameter variation with carbon content of martensite. II. Long-wavelength theory of the cubic-to-tetragonal transition

Fan, Z.; Xiao, Liu; Zhang, Jinxiu; Mokuang, Kang; Guo, Zhenqi

doi:10.1103/physrevb.52.9979

Cited by 37 publications

(16 citation statements)

References 13 publications

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“…The ferrite -martensite transition under zero stress occurs at c 0 = 0.0125 (0.25 wt%). This value is in the range of 0.20 wt% to 0.6 wt% reported in the literature [10,34,35).…”

Section: Case Of Jixed Applied Stressmentioning

confidence: 50%

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Stress-controlled carbon diffusion channeling in bct-iron: A mean-field theory

Maugis¹,

Chentouf²,

Connétable³

2018

Journal of Alloys and Compounds

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Diffusion of interstitial carbon atoms in iron is the rate-limiting phenomenon of a number of phase transitions in body-centered (bec) and body-centered tetragonal (bct) phases such as ferrite and martensite. These phases being rarely stress-free and undeformed, the influence of stress/strain on the diffusivity of carbon is essential, although scarcely documented. We developed a model of carbon elastodiffusion in bct-iron. We combined anisotropie linear elasticity theory of point defects, the dilute approximation of regular solutions and the multisite model of random walk into a coherent mean-field theory. The model allows predicting the effects of composition, temperature and mechanical loading on the anisotropy of carbon diffusion. Density functional theory calculations have provided most of the materials parameters. The predictions were successfully tested against kinetic Monte Carlo simulations. Our results show that compression of the crystal increases carbon diffusivity, while tension has the opposite effect. Axial straining is accompanied by a large anisotropy of diffusion. This effect could be exploited to produce stress-controlled diffusion channeling for the engineering of anisotropie micro structures during thermal ageing of martensitic Fe-C alloys.

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“…The ferrite -martensite transition under zero stress occurs at c 0 = 0.0125 (0.25 wt%). This value is in the range of 0.20 wt% to 0.6 wt% reported in the literature [10,34,35).…”

Section: Case Of Jixed Applied Stressmentioning

confidence: 50%

“…Various models of order-disorder transition during low temperature ageing [7][8][9][10][11] or severe plastic deformation [12,13) have been proposed in the literature. Sorne of them include the effect of particular mechanical loadings [7,14,15).…”

Section: Introductionmentioning

confidence: 99%

Stress-controlled carbon diffusion channeling in bct-iron: A mean-field theory

Maugis¹,

Chentouf²,

Connétable³

2018

Journal of Alloys and Compounds

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“…In the general case of nondilute alloys, the set of equations (10), (12), and (13) must be solved numerically; the critical temperatures, and the corresponding order parameters, become complex functions of composition. However, the abovementioned hysteresis behavior persists.…”

Section: Khachaturyan and Shatalov [3]mentioning

confidence: 99%

Temperature hysteresis of the order-disorder transition in carbon-supersaturated α-Fe

et al. 2017

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Although many works have been devoted to the order-disorder transition in carbon-supersaturated α-Fe, all seem to have overlooked the temperature hysteresis phenomenon occurring around the critical temperature. It is shown, from a mean-field model based on the elasticity theory of point defects, that the origin of the temperature hysteresis is thermodynamic. As a consequence, both the critical temperature and carbon concentration for the order-disorder transition can be defined upon heating and cooling. The results obtained were successfully compared to molecular dynamics simulations, and are evidence that the transition is of first order and that linear elasticity is the predominant source of the thermodynamics of the Fe-C solid solutions.

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“…10,12,[19][20][21][22] However, it has been shown 23 that the elastic interactions by themselves cannot account for the stability of the tetragonal phase in Fe-C solid solutions and the chemical C-C interactions also have to be considered 13 in order to properly describe the martensitic transformation. Using this approach, a critical C concentration of 0.03 wt % at room temperature has been determined, 13 which is substantially lower than the recently found experimental value of 0.18 wt %.…”

Section: Introductionmentioning

confidence: 99%

Interplay between long-range elastic and short-range chemical interactions in Fe-C martensite formation

et al. 2009

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The thermodynamic stability of tetragonal and cubic states of dilute Fe-C interstitial solid solutions is studied combining atomistic simulations with the microscopic elasticity theory. This approach allows us to accurately describe the effect of long-ranged elastic C-C interactions on the martensite formation. The predicted compositional dependence of the critical temperature at which the cubic phase transforms into tetragonal states is in good agreement with available experimental data and thus removes previous controversies regarding the relative importance of strain-induced and chemical interactions.

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Lattice-parameter variation with carbon content of martensite. II. Long-wavelength theory of the cubic-to-tetragonal transition

Cited by 37 publications

References 13 publications

Stress-controlled carbon diffusion channeling in bct-iron: A mean-field theory

Stress-controlled carbon diffusion channeling in bct-iron: A mean-field theory

Temperature hysteresis of the order-disorder transition in carbon-supersaturated α-Fe

Interplay between long-range elastic and short-range chemical interactions in Fe-C martensite formation

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