Effective electric resistivity simulation from a reconstructed structure

4 Effective electric resistivity simulation from a reconstructed structure In order to calculate the effective resistivity (petf) of a heterogeneous material composed of a conductive phase and one or more insulating phases of an element formed by subdomains of smaller scales, we use the following relation  

To normalize and generalize the results in this section, calculated resistivities are used to estimate a conduction efficiency r f). As conductivity is the inverse of resistivity, the CL s effective conductivity is the inverse of the effective resistivity value kgu = p fl. Then the conduction efficiency pk is calculated by comparing the effective conductivity with a reference or nominal conductivity, as described by Equation (2.37). By substituting Equation (2.36) in Equation (2.37), one can obtain a relation that provides the conduction efficiency of the global domain which is formed by several subdomains (Equation (2.38))  

The electric conduction efficiency (%), obtained by direct simulation of the charge continuity equation in 500x (%,5oo) and 5000x (rik,50oo) resolutions, can be generalized by its product in a single micrometric efficiency parameter rimUro- ilk soo 5,ooo)- In this way, the electric conduction efficiency of the nano-metric structure can be estimated by  

At the micrometric scale, PCL20 shows higher rjmicw value than the other two manufactured CLs. However, experimental results shows that PCLOO has the highest global conduction efficiency (T]k). This suggests that the nano-metric scale has a significant influence in the electric 

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