History-dependent selection of primary cellular/dendritic spacing during unidirectional solidification in aluminum alloys

Lin, Xin; Huang, Weidong; Feng, Jian; Li, T.; Zhou, Yaohe

doi:10.1016/s1359-6454(99)00166-4

Cited by 63 publications

(41 citation statements)

References 19 publications

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“…It was found that a dendrite array formed at a given initial growth velocity can remain stable even when the velocity significantly increases. [3][4][5][6][7] This delay effect in spacing variation is also observed when growth velocity decreases. [3,5,6,8,9] Even average primary dendrite spacing depends not only on current growth conditions, but also, notably, on the history leading up to those conditions.…”

Section: Introductionmentioning

confidence: 98%

“…Even in a normal directional solidification process, in which both control parameters, temperature gradient G and solidification velocity V, are maintained constant from beginning to end, a very wide range in spacing size distribution was determined. [1][2][3][4][5][6] The experiments also identified the history dependence in the evolution and selection of primary dendrite spacings. It was found that a dendrite array formed at a given initial growth velocity can remain stable even when the velocity significantly increases.…”

Section: Introductionmentioning

confidence: 99%

“…[3][4][5][6][7] This delay effect in spacing variation is also observed when growth velocity decreases. [3,5,6,8,9] Even average primary dendrite spacing depends not only on current growth conditions, but also, notably, on the history leading up to those conditions. The classical theoretical models relating to primary spacing [10][11][12][13] were developed in relation to dendrite growth in a steady state, where dendrite arrangement is assumed to be uniform.…”

Section: Introductionmentioning

confidence: 99%

“…Both models have been used to calculate the lower limit of the permissible range of dendrite spacing. [3,5,6,19] In a previous work, [20] the author developed an analytic model describing the characteristic features in dendrite spacing selection. In the proposed model, a nominal spacing according to scale law at steady state is defined as the base line for spacing variation.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Response of primary dendrite spacing to varying temperature gradient during directional solidification

2004

Metall Mater Trans B

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The response of primary dendrite spacing to a change in solidification condition is examined through the directional solidification of a succinonitrile-acetone alloy. While the growth velocity was kept constant, the thermal gradient G was alternately varied between two extreme values. The measured average dendrite spacing is compared to a calculation involving a previously proposed model, revealing good correlation. The investigation results enable us to characterize some important features about dendrite spacing evolution: during alternately changing G, dendrite spacing varies along different paths; after changing G-variation direction at turning points, the incubation periods required for the initiation of variation are much longer than those at the initial stage; as G changes back to its initial state, cannot return to its original value, revealing an unclosed hysteresis loop for the -G diagram; and continuing the process of alternately changing G will result in the formation of a closed loop. This kind of hysteresis loop is repeatable and roughly the same for varying G in reverse sequences. Thus, becoming free of the effect of the initial state, varies in nearly the same way for the same change in process condition, regardless of the difference in previous history.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Response of primary dendrite spacing to varying temperature gradient during directional solidification

2004

Metall Mater Trans B

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“…Dendrite is the most common microstructures observed in the casting products of commercial alloys [3][4][5][6][7][8] .…”

Section: Introductionmentioning

confidence: 99%

Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model

Wei

Lin

Huang

2012

Physica B: Condensed Matter

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A three-dimensional (3-D) adaptive mesh refinement (AMR) cellular automata (CA) model is developed to simulate the equiaxed dendritic growth of pure substance. In order to reduce the mesh induced anisotropy by CA capture rules, a limited neighbor solid fraction (LNSF) method is presented. An expansion description using two interface free energy anisotropy parameters ( 1 ,  2 ) is used in present 3-D CA model. The dendrite growths with the orientation selection between <100> and <110> are discussed using the different  1 with  2 =-0.02. It is found that the simulated morphologies by present CA model are as expected from the minimum stiffness criterion.

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Phase field investigation on sidebranching dynamics in transient growth

Zheng

Dong

Wei

et al. 2014

Crystal Research and Technology

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A computationally efficient quantitative phase field formulation is used to investigate the sidebranching dynamics under different transient conditions in directional solidification for realistic parameters of a dilute alloy. The sidebranch growths where the pulling speed or temperature gradient increases with constant increasing rates are simulated and discussed by using the noise amplification theory. The results show that in transient growth, the tip shape can rapidly adjust with the instantaneous conditions, and the tip velocity changes continuously due to the change of tip undercooling. Therefore, under our given transient conditions, the sidebranch spacing or sidebranching frequency depends strongly on the transient conditions and transient history, which is different with that in steady‐state conditions where the sidebranching frequency is found to be independent of the temperature gradient and primary spacing, but varies as a power law of pulling speed.

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History-dependent selection of primary cellular/dendritic spacing during unidirectional solidification in aluminum alloys

Cited by 63 publications

References 19 publications

Response of primary dendrite spacing to varying temperature gradient during directional solidification

Response of primary dendrite spacing to varying temperature gradient during directional solidification

Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model

Phase field investigation on sidebranching dynamics in transient growth

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