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How to Periodic Boundary Conditions in FEM

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R.Guo

Mechanical
Jun 27, 2018
19
I have some questions about periodic boundary(PBC) condition that is used in FEM.
1. How to add PBC condition in the model? this is a model named PBC to add shear condition.
The case for up and down boundary as figures, named UP and DWON.
we know the formula about PBC is
condition_pszvrq.png
. But how to express the periodic part by this the boundary condition?
2. What do we need to consider when the inside of model includes many random defects?
3. What the different between homogeneous boundary condition and periodic boundary condition?
PBC:
PBC_mduhxs.png

UP:
up_avcyvr.png

DOWN:
down_xvrglf.png
 
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