hookeai.simulators.fetorch.element.integrations.internal_forces.eval_shapefun_deriv

eval_shapefun_deriv(element_type, nodes_coords, local_coords)[source]

Evaluate shape functions derivates at given coordinates.

Parameters:

  • element_type (Element) – FETorch finite element.

  • nodes_coords (torch.Tensor(2d)) – Nodes coordinates stored as torch.Tensor(2d) of shape (n_node, n_dof_node).

  • local_coords (torch.Tensor(1d)) – Local coordinates of point where Jacobian is evaluated.

Returns:

  • shape_fun_deriv (torch.Tensor(2d)) – Shape functions derivatives evaluated at given local coordinates, sorted according with element nodes. Derivative of the i-th shape function with respect to the j-th local coordinate is stored in shape_fun_deriv[i, j].

  • jacobian (torch.Tensor(2d)) – Element Jacobian.

  • jacobian_det (float) – Determinant of element jacobian.