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Title: Fractal growth of graphite nodules in iron
Authors: Li, J.
Lu, L. 
Lai, M.O. 
Issue Date: Sep-2000
Citation: Li, J., Lu, L., Lai, M.O. (2000-09). Fractal growth of graphite nodules in iron. Philosophical Magazine Letters 80 (9) : 633-640. ScholarBank@NUS Repository.
Abstract: It has been found from a large number of statistical tests that graphite nodules in malleable iron grow with time according to a power law. The growth of the nodules and their fractal dimension have been investigated experimentally as a function of annealing time. Based on the assumption of carbon-diffusion-controlled growth in the initial stage, the growth equation is RG = K1t1/(D-1), where RG is the radius of the graphite nodules, t the time, D the fractal dimension and K1 a constant. Assuming cementite-dissolution-controlled growth in the later stages of growth, the relation is RG = K3t3/D, where K3 is a constant. The fractal dimension, or the aggregate state of the graphite nodules, strongly influences the growth process.
Source Title: Philosophical Magazine Letters
ISSN: 09500839
DOI: 10.1080/09500830050134354
Appears in Collections:Staff Publications

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