Lawrence Livermore National Laboratory
Dendrites are ubiquitous structures that are central to setting mechanical properties in materials, but the mechanism behind how dendrites grow is not fully understood. Using X-ray synchrotron radiation experiments, dendritic growth of Al-Cu alloys is studied in four-dimensions (three dimensions and time) to track the evolution of the three-dimensional structures as a function of time using novel X-ray tomography algorithms. Characterizing these large four-dimensional materials datasets is difficult due to the presence of complex microstructures and time-varying length scales. Two-point statistics algorithms are showcased as an efficient and un-biased way of extracting materials parameters from an Al-Cu alloy during solidification. The evolution of dendrite primary arm thickness, average secondary arm spacing, and average tip-to-tip spacing were tracked using two-point Pearson auto-correlations of scaled mean curvatures. These length scales have substantial influence on alloy hardness and tensile strength. Insights into competitive side-branching are also reported. We show both visually and quantitatively that most length scales change rapidly during early stages of dendritic growth, but slow as diffusion fields of dendrites overlap.
Abstract
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