An analytical model for constitutional supercooling-driven grain formation and grain size prediction
By M. Qian, Peng Cao, M. Easton, Stuart D. McDonald, D. StJohn. 2010
208 citations recorded by the source corpus.
Abstract Being able to predict the grain formation process and attendant grain size has been a central topic in solidification. Such an analytical model is presented for constitutional supercooling (CS)-driven grain formation with several simplifications. The model links the nucleation of new grains to the growth of a larger neighbouring grain. The average grain size ( d ¯ ) is thus determined by two components: the minimum growth (rcs) necessary to establish sufficient CS (ΔTn) for nucleating new grains, and the spatial mean distance ( a ¯ ) to the most potent available nucleants. Both spherical and planar growth fronts are considered, covering growth curvatures from small to infinite. Two distinct fundamental approaches are used, which result in identical descriptions of d ¯ , where d ¯ = a ¯ + D · Δ T n / ( v · Q ) (D is the diffusion coefficient, v is the growth velocity, Q is the growth restriction factor). The model is compared with literature data produced under various conditions and demonstrated on aluminium alloys as an example.
Subfields: Aerospace Engineering, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/894393d259538e914024125bbd0872e424e4d960
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In Aerospace Engineering
In Materials Chemistry
Citations in the corpus
- Grain refinement of stainless steel in ultrasound-assisted additive manufacturing (2020, background): “CS largely controls the development of grain structure in metallic alloys solidified under a variety of conditions [60, 61], including under ultrasonic [17, 35, 36] and AM conditions [37-39].”
- Grain Structure Control of Additively Manufactured Metallic Materials (2017, background): “[33] linearly related the reciprocal of the growth restriction factor Q = mLco(k − 1) with the average grain size during solidification, and a large Q leads to a fine grain size.”