**periodic_paires

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`**periodic_paires`#

Description#

This mesher generates MPCs to establish relationships between degrees of freedom for periodic computations. It creates also appropriate node sets to apply the MPCs.

Syntax#

**periodic_paires \(~\,\) *direction dir1 \(~\,\) … \(~\,\) *direction dirN \(~\,\) *dof_names dof1 … dofN \(~\,\) *tolerance tol \(~\,\) *filename suffix

*direction: Specifies the directions of periodicity.
*dof_names: Specifies degrees of freedom on which periodic boundary conditions should be applied. By default, only the displacement is considered (U1, U2, U3).
*tolerance: tolerance to search paired nodes (default value 1e-6).
*file: Suffix name of the file (or files for multiple DOFs) that contains MPCs. By default U.pbc.

Example#

../../_images/periodic_lattice.svg

**periodic_paires
  *direction (0. 2. 0.)
  *direction (1.6180 1. 0.)
  *direction (1.6180 -1. 0.)

The output of this command is a file named U.pbc that contains MPCs to be added in the input file:

***equation
**mpc2 periodic_0 U1 periodic_1 U1
**mpc2 periodic_0 U2 periodic_1 U2
**mpc2 periodic_0 U3 periodic_1 U3
**mpc2 periodic_2 U1 periodic_3 U1
**mpc2 periodic_2 U2 periodic_3 U2
**mpc2 periodic_2 U3 periodic_3 U3
**mpc2 periodic_2 U1 periodic_4 U1
**mpc2 periodic_2 U2 periodic_4 U2
**mpc2 periodic_2 U3 periodic_4 U3