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Dedicated to Prof. Wolfgang Bunk on the occasion of his 70th birthdayThe interphase spacings h in the microstructures of most binary and pseudobinary ,,normal" metallic eutectics can roughly be quantified with regard to their respective solidification rates v according to a general relationship h2 . v = constant the constant being commonly between IO-'"and lo-'' cm3sc1. The designation ,,normal" relates to similar degrees of undercooling of either phase on a plain-front solidification process at variance with anomaleous eutectics which solidify at different degrees of undercooling in an uncoupled or weakly-coupled manner. The ,,constant", however, is an individual value for each eutectic system. It is lowest for ,,simple" eutectics forming no intermetallic compounds and having low terminal solid solutions. The constant is raised for systems by 3 orders of magnitude or more if extensive terminal solid solutions are present. A closer fit for deliberate nor-mal eutectics is presented in this pragmatic approach if the concentration differences between the terminal phases in eutectics ACE [at%] are attributed to them as a square term according to h2The data based on this relation still show some scatter but they are grouping to distinct material families e. g. to Pb-, Agor Al-based eutectics. The remanent differences are estimated to disappear as soon as the relation is extended by the interdiffusion coefficient D according to{cm5 . s -~. at%) as is confirmed in cases where reliable D values are available.These findings are in contrast to the current published theories on eutectic solidification. Suggestions are given where the boundary conditions have to be altered in order to attain full accord between experiment and theory.
Dedicated to Prof. Wolfgang Bunk on the occasion of his 70th birthdayThe interphase spacings h in the microstructures of most binary and pseudobinary ,,normal" metallic eutectics can roughly be quantified with regard to their respective solidification rates v according to a general relationship h2 . v = constant the constant being commonly between IO-'"and lo-'' cm3sc1. The designation ,,normal" relates to similar degrees of undercooling of either phase on a plain-front solidification process at variance with anomaleous eutectics which solidify at different degrees of undercooling in an uncoupled or weakly-coupled manner. The ,,constant", however, is an individual value for each eutectic system. It is lowest for ,,simple" eutectics forming no intermetallic compounds and having low terminal solid solutions. The constant is raised for systems by 3 orders of magnitude or more if extensive terminal solid solutions are present. A closer fit for deliberate nor-mal eutectics is presented in this pragmatic approach if the concentration differences between the terminal phases in eutectics ACE [at%] are attributed to them as a square term according to h2The data based on this relation still show some scatter but they are grouping to distinct material families e. g. to Pb-, Agor Al-based eutectics. The remanent differences are estimated to disappear as soon as the relation is extended by the interdiffusion coefficient D according to{cm5 . s -~. at%) as is confirmed in cases where reliable D values are available.These findings are in contrast to the current published theories on eutectic solidification. Suggestions are given where the boundary conditions have to be altered in order to attain full accord between experiment and theory.
Metallic eutectics play an important role in casting technology and properties. For this reason, the study of eutectics microstructure is indispensable in the casting qualification. Eutectics have many similar characteristics, including the morphology, size and spatial arrangement of eutectic phases. This makes it possible to develop a method of general use based on analyzing eutectic microscopy images. The method presented in this article performs a posteriori background correction for OM images. The shape and size of phases are determined using cellular automata and machine learning. Another cellular automaton and cluster analysis characterizes the spatial arrangement of eutectic phases. It can also be used to determine the distance between objects both locally and within a given object group. The algorithm is suitable for exploring and examining the spatial clustering of objects. The methods can be included in an algorithm, so a detailed examination of the eutectic microstructure can be carried out. The method was tested on micrographs of Al-Cu, Al-Ni, Al-Si and cast irons.
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