pihnn.bc.normal_displacement_bc#

class pihnn.bc.normal_displacement_bc#

Bases: linear_elasticity_bc

Normal displacement boundary condition:

\[u \cdot n = u_0,\]
where \(u\) is the displacement vector, \(n\) is the outward normal vector and \(u_0\) is the assigned RHS value.
To be used for the linear elasticity problem.
__call__(z, sxx, syy, sxy, ux, uy, normal, rhs=0)#

Calculate residual of the boundary condition.

Parameters:

  • z (torch.tensor) – Coordinates of the points where the BC is evaluated.

  • sxx (torch.tensor) – \(\sigma_{xx}\) evaluated at the ‘z’ coordinates.

  • syy (torch.tensor) – \(\sigma_{yy}\) evaluated at the ‘z’ coordinates.

  • sxy (torch.tensor) – \(\sigma_{xy}\) evaluated at the ‘z’ coordinates.

  • ux (torch.tensor) – \(u_{x}\) evaluated at the ‘z’ coordinates.

  • uy (torch.tensor) – \(u_{y}\) evaluated at the ‘z’ coordinates.

  • normal (torch.tensor) – Boundary outward normal vectors at the ‘z’ coordinates.

  • rhs (torch.tensor) – Boundary condition RHS assigned value at the ‘z’ coordinates.

Returns:

  • error (torch.tensor) - Residual of the boundary condition at the ‘z’ coordinates.