Solidification microstructures: recent developments, future directions

Boettinger, William J.; Coriell, S. R.; Greer, A.L.; Karma, Alain; Kurz, W.; Rappaz, M.; Trivedi, R.

doi:10.1016/s1359-6454(99)00287-6

Cited by 531 publications

(320 citation statements)

References 142 publications

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“…Section 3.1 will review the modeling of pure melts. Since there is a large body of literature on this topic and comprehensive reviews exist [23,161], detailed derivations of the phase field equations and numerical simulation techniques will not be discussed. Instead, we will focus on the link between atomistic simulations and phase field computations and demonstrate that accurate, parameter free predictions of dendrite growth are now possible.…”

Section: Phase-field Simulationsmentioning

confidence: 99%

Atomistic and continuum modeling of dendritic solidification

Hoyt

2003

Materials Science and Engineering: R: Reports

397

220

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Section: Phase-field Simulationsmentioning

confidence: 99%

Atomistic and continuum modeling of dendritic solidification

Hoyt

2003

Materials Science and Engineering: R: Reports

397

220

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“…These alloys show a wide variety of microstructures in directional solidification at low speed [1][2][3][4][5][6][7][8][9][10][11][12][13], including regions of primary a, primary b, islands of one phase in the other and coupled growth. It is this latter microstructure that is of most interest here.…”

Section: Introductionmentioning

confidence: 99%

Modeling of peritectic coupled growth in Cu–Sn alloys

Valloton¹,

Dantzig²,

Plapp³

et al. 2013

Acta Materialia

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In directional solidification experiments on hypoperitectic Cu-Sn alloys at low velocity and high thermal gradient, both lamellar and fibrous coupled peritectic growth patterns have been observed. Two phenomena that had not been observed in previous experiments on other alloy systems are investigated here with the help of different modeling approaches. The mean volume fraction of primary phase a, g a , as determined by X-ray microtomography, decreases with solidification distance over the entire length of the coupled zone, but is always much larger than that expected from the equilibrium phase diagram. Moreover, oscillations in g a with a spatial periodicity approximately equal to the lamellar spacing are also observed. The first observation is explained semi-quantitatively by a simple 1D diffusion model, which reveals that the onset of coupled growth occurs during the initial transient of the primary phase planar front growth. A two-dimensional phase-field model is used to monitor the subsequent microstructure evolution, and shows that the lamellar structure exhibits collective 1-k oscillations. In agreement with previous studies, it was found that these oscillations lead to stable coupled growth only for a limited range of the control parameters.

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“…The control of the solidification conditions of metallic materials to improve their properties is of importance in many industrial processes [1,2]. The solidification process under high magnetic field conditions has attracted widespread interest from both fundamental and practical viewpoints, because of the attractive nature of magnetic fields for such processing.…”

Section: Introductionmentioning

confidence: 99%

Effects of high magnetic fields on solidified structures of Mn-90.4 wt% Sb hypoeutectic alloy

Wang

Liu

Zhang

et al. 2009

Science and Technology of Advanced Materials

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Mn-90.4 wt% Sb alloy specimens were solidified under both uniform magnetic field and magnetic field gradient conditions. The solidification behavior was examined to elucidate the effects of high magnetic fields on the solidified structure evolution of this hypoeutectic alloy. The macrostructures on the longitudinal section of the alloys were investigated by optical microscopy and x-ray diffraction (XRD). The volume fraction of primary MnSb phases and the interrod spacing of the eutectic were measured by metallographic analysis. It was found that the segregation of the primary MnSb particles at the certain regions of the specimens occurred under the influence of high magnetic field gradients. The MnSb phases obtained under magnetic fields were oriented with their (h0 l) planes along the direction of the magnetic field. Both the volume fraction of primary MnSb phases and the interrod spacing of the eutectic were decreased upon the application of the high magnetic fields.

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Solidification microstructures: recent developments, future directions

Cited by 531 publications

References 142 publications

Atomistic and continuum modeling of dendritic solidification

Atomistic and continuum modeling of dendritic solidification

Modeling of peritectic coupled growth in Cu–Sn alloys

Effects of high magnetic fields on solidified structures of Mn-90.4 wt% Sb hypoeutectic alloy

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