Abstract
The influence of topological entropy (TS) on the effective transport coefficient (ETC) of a two-phase material is analyzed. The proposed methodology studies a system of aligned bars that evolves into a stochastic heterogeneous system. This proposal uses synthetic images generated by computational algorithms and experimental images from the scanning electron microscope (SEM). Microstructural variation is imposed for statistical reconstruction moments by simulated annealing (SA) and it is characterized through TS applied in Voronoi diagrams of the studied systems. On the other hand, ETC is determined numerically by the Finite Volume Method (FVM) and generalized by a transport efficiency of charge (ek). The results suggest that our approach can work as a design tool to improve the ETC in stochastic heterogeneous materials. The case studies show that ek decreases when TS increases to the point of stability of both variables. For example, for the 80% surface fraction, in the particulate system of diameter D = 1, ek = 50.81 ± 0.26% @ TS = 0.27 ± 0.002; when the system has an agglomerate distribution similar to a SEM image, ek = 45.69 ± 0.60% @ TS = 0.32 ± 0.002.
Highlights
Composites allow the association of materials with different but complementary characteristics, which combined synergistically generate an assembly with original properties
Tian et al reported that VACNT could significantly improve the fabrication of membrane electrode assemblies (MEA) with low loads of Pt when used as carbon support because there are suitable pathways for transport of electrons, protons and reactants in the VACNT catalytic layer allowing better use of the catalyst [15]
The methodology begins with the twodigital digitalsystems; systems; each system has identifiable with thegeneration generation of of two each system has identifiable phases: j1 ) matrix phase, white color phase,black black color
Summary
Composites allow the association of materials with different but complementary characteristics, which combined synergistically generate an assembly with original properties. Some examples of its applications are to save weight while maintaining high-performance mechanical properties [1], high corrosion resistance [2] and better electrical transport [3] Different sectors such as aerospace and energy industry are attracted to composite materials [4]. Tian et al reported that VACNT could significantly improve the fabrication of membrane electrode assemblies (MEA) with low loads of Pt when used as carbon support because there are suitable pathways for transport of electrons, protons and reactants in the VACNT catalytic layer allowing better use of the catalyst [15]. The SA method is used to reconstruct systems (microstructures) that evolve from a unidirectional composite aligned in vertical bars to an RHM.
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