The constant phase element (CPE) is found in most battery and supercapacitor equivalent circuit models proposed to interpret data the frequency domain. When these are used time domain, initial conditions fractional differential equations must be correctly imposed. state problem remains controversial has been analyzed by various authors last two decades. This article attempts clarify this propos...

Abstract In the paper, a fractional-order RLC circuit is presented. The realized by using capacitor. This carbon black dispersed in polymeric matrix. Simulation results are compared with experimental data, confirming suitability of applying this new device circuital implementation systems.

In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...

The power of energy storage devices is characterized by capacitance and the internal resistance. measured on an assumption that charges are stored at electrode interface electric double layer behaves like ideal capacitor. However, in most cases, not so a constant phase element (CPE) used instead capacitor to describe practical observations. Nevertheless, another problem with use CPE does give d...

the microstructure of dual phase steels can be considered as a matrix of ferrite phase reinforced by martensite particles. recent measurements show that the mechanical properties of the ferrite phase are changed with the distance from the martensite grains. in this paper, a new method has been proposed to consider this phenomenon in finite element modeling of dual phase steels microstructure. i...

frictional shear stress is usually determined by utilizing the coefficient of friction or the constant friction factor models. the present study deals with finite element analysis of double cup extrusion process to determine the relationship between constant friction factor (m) and coefficient of friction (µ), since the metal flow in this process is very sensitive to frictional conditions. ther...