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Add object documentation and make website more navigable for basic do…
…cumentation review. Refs idaholab#25 , idaholab#24
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@article{cincotti2007sps, | ||
author = {Cincotti, A. and Locci, A. M. and Orrù, R. and Cao, G.}, | ||
title = {Modeling of {SPS} apparatus: Temperature, current and strain distribution with no powders}, | ||
journal = {AIChE Journal}, | ||
volume = {53}, | ||
number = {3}, | ||
pages = {703-719}, | ||
doi = {10.1002/aic.11102}, | ||
year = {2007} | ||
} | ||
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@article{babu2001contactresistance, | ||
author = {Babu, S. S. and Santella, M. L. and Feng, Z. and Riemer, B. W. and Cohron, J. W.}, | ||
title = {Empirical model of effects of pressure and temperature on electrical contact resistance of metals}, | ||
journal = {Sci Technol Weld Joining}, | ||
volume = {6}, | ||
number = {3}, | ||
pages = {126-132}, | ||
year = {2001} | ||
} |
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...omagnetics/doc/content/source/interfacekernels/ElectrostaticContactCondition.md
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# ElectrostaticContactCondition | ||
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!syntax description /InterfaceKernels/ElectrostaticContactCondition | ||
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## Description | ||
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This interface kernel models the conductivity of electric field across a specified | ||
boundary between two dissimilar materials, as described by [!citep](cincotti2007sps). | ||
It accounts for the influence of electrostatic potential differences across the | ||
interface, with appropriate electrical contact conductance / resistance coefficient | ||
being provided either by the user as a constant scalar number or via a combination | ||
of material properties and constants for calculation. The condition being applied is: | ||
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\begin{equation} | ||
\sigma_{el,1} \frac{\partial \phi}{\partial \mathbf{r}} \bigg\rvert_1 \cdot \mathbf{\hat{n}} = \sigma_{el,2} \frac{\partial \phi}{\partial \mathbf{r}} \bigg\rvert_2 \cdot \mathbf{\hat{n}} | ||
\end{equation} | ||
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and | ||
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\begin{equation} | ||
\sigma_{el,1} \frac{\partial \phi}{\partial \mathbf{r}} \bigg\rvert_1 \cdot \mathbf{\hat{n}} = -C_E (\phi_1 - \phi_2) | ||
\end{equation} | ||
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where | ||
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- $\sigma_{el, i}$ is the electrical conductivity of each material along the interface, | ||
- $C_E$ is the electrical contact conductance, and | ||
- $\phi_i$ is the electrostatic potential of the material at the interface. | ||
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The temperature- and mechanical-pressure-dependent electrical contact conductance, given by [!citep](babu2001contactresistance), is calculated using: | ||
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\begin{equation} | ||
C_E(T, P) = \alpha_E \sigma_{el,Harm} \bigg( \frac{P}{H_{Harm}} \bigg)^{\beta_E} | ||
\end{equation} | ||
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where | ||
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- $\alpha_E$ is an experimentally-derived proportional fit parameter (set to be 64, from [!citep](cincotti2007sps)), | ||
- $\sigma_{el,Harm}$ is the harmonic mean of the temperature-dependent electrical conductivities on either side of the boundary, | ||
- $P$ ($=F/S$) is the uniform mechanical pressure applied at the contact surface area (S) between the two materials, | ||
- $H_{Harm}$ is the harmonic mean of the hardness values of each material, and | ||
- $\beta_E$ is an experimentally-derived power fit parameter (set to be 0.35, from [!citep](cincotti2007sps)). | ||
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For reference, the harmonic mean calculation for two values, $V_a$ and $V_b$, is given by | ||
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\begin{equation} | ||
V_{Harm} = \frac{2 V_a V_b}{V_a + V_b} | ||
\end{equation} | ||
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## Example Input File Syntax | ||
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!listing contact_resistance_calculated.i block=InterfaceKernels/contact_resistance | ||
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!syntax parameters /InterfaceKernels/ElectrostaticContactCondition | ||
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!syntax inputs /InterfaceKernels/ElectrostaticContactCondition | ||
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!syntax children /InterfaceKernels/ElectrostaticContactCondition |
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