The dispersion of self-assembled BaTiO 3 (BT) agglomerates in poly-L-lactic-acid (PLLA) polymer matrix was decided with the multifractal analysis to investigate characters of the aggregated morphology of the secondary particle group. On the multifractal analysis, the results showed that the average secondary particle area is increased with increasing the capacity dimension (D 0 ). The average secondary particle area is related to BT agglomerates. It showed that S 1/2 and D 0 plot increased linearity. Therefore, BT agglomerates and D 0 have a correlation. It suggested that D 0 is related to the morphology of the BT agglomerates. The average dielectric constant (ε′) is increased with increasing D 0 . It was considered that the formation of the hetero interface of BT/ PLLA contributed to the increase in the average dielectric constant of BT/PLLA composites.
The dispersion of self-assembled β-Si 3 N 4 (SN) agglomerates in stainless steel (SUS316L) was decided with the multifractal analysis to investigate characters of the aggregated morphology of the average secondary particle area of SN particles. The thermal conductivity (λ e) of SN/SUS316L with the average particle diameter of SUS316L powder of 3 μm was higher than that expected from Kanenari model because SN agglomerations were formed. On the other hand, λ e of SN/SUS316L with the average particle diameter of SUS316L powder of 8 μm was lower than that expected from Kanenari model. On the multifractal analysis, the results showed that the capacity dimension (D 0) was not changed with adding SN particles. It suggested that the SN agglomerations were formed with similarity. λ e was increased with increasing the average secondary particle area of SN particles. D 0 was not increased with increasing λ e. It indicated that the forming the network of the thermal conductive particles played an important role in improving λ e. KEY WORDS β-Si 3 N 4 /SUS316L composite material, multifractal analysis, self-assembly, aggregated morphology, thermal conductivity
In the self-assembly process of β-Si3N4 (SN)/316L stainless-steel (SUS316L) composite materials tailored via sintering of powder mixtures, the formation of a SN agglomerate resulting from condensation–dispersion reactions during the stirring of SN/SUS316L was found to play an important role in improving the thermal conductivity. Moreover, the obtained SN secondary particle groups connected to form a network through diffusion-limited aggregation. In particular, it was shown that the sample prepared at the milling speed of 150 r/min has a similar particle group area (about 1.38 μm2) to that at 120 r/min, but a higher κ (increased from 9.5 W m−1 K−1 to 11.5 W m−1 K−1). To quantitatively evaluate the microstructural morphology of the texture of the self-assembled composite material, global parameters τ( q) and D q and local parameters α( q) and f( α) were determined via multifractal analysis. These characteristics of the anisotropy, dispersion, and cohesiveness of the particle network in the material texture could be analyzed together with the capacity dimension D0, information dimension D1 (configuration entropy), correlation dimension D2, and α( q) (related to internal energy). The results suggest that α( q) reflects the differences in the cohesion of the additive particle agglomeration that constitutes the self-assembly process under the solid-state reaction.
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