Obtaining the Dimensions and Orientation of 2D Rectangular Flakes from Sectioning Experiments in Flake Composites
Papathanasiou T.D. Tsiantis A. Wang Y.
May 2022MDPI
Journal of Composites Science
2022#6Issue 5
Recently, we developed and reported the statistical validity of two methods for determining the planar aspect ratios of two-dimensional (2D) rectangular flakes in composites from the statistics of intersection lengths: one method is based on the maximum intersection length, and the other on the average intersection length. In this work, we show that these methods are valid and robust not only for flakes having isotropic, random in-plane orientations, but for the more general situations of planar orientations ranging from unidirectional (misalignment angle ɛ = 0), to partially aligned (0 < ɛ < π/2), to flakes of isotropic, random-in-plane orientations (ɛ = π/2). We prove, by Monte Carlo simulations and by numerical sectioning experiments, the validity of the proposed methods for characterizing the extent of the partial alignment (the misalignment angle ɛ) of 2D rectangular flakes in composites, based again on the statistics of the intersection lengths; this information can be obtained from cross-sections of composite samples used in optical or electron microscopy or using tomographic imaging techniques. The performance of these techniques was tested using blind experiments in numerically sectioned composites which contained up to 106 individual flakes, and was found to be very good for a wide range of flake aspect ratios.
flake composites , flake dimensions , microstructure characterization , orientation, alignment , sectioning technique
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Department of Mechanical Engineering, University of Thessaly, Volos, 383-34, Greece
Department of Chemical and Materials Engineering, School of Engineering and Digital Sciences, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Laboratory of Computational Materials Science for Energy Applications, Center for Energy and Advanced Materials Science, National Laboratory Astana, Nur-Sultan, 010000, Kazakhstan
Department of Mechanical Engineering
Department of Chemical and Materials Engineering
Laboratory of Computational Materials Science for Energy Applications
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