:py:mod:`femo_alpha.dynamic_rm_shell.plate_sim`
===============================================

.. py:module:: femo_alpha.dynamic_rm_shell.plate_sim


Module Contents
---------------

Classes
~~~~~~~

.. autoapisummary::

   femo_alpha.dynamic_rm_shell.plate_sim.BC_list
   femo_alpha.dynamic_rm_shell.plate_sim.PlateSim



Functions
~~~~~~~~~

.. autoapisummary::

   femo_alpha.dynamic_rm_shell.plate_sim.extractTipDispDolfinx



Attributes
~~~~~~~~~~

.. autoapisummary::

   femo_alpha.dynamic_rm_shell.plate_sim.comm


.. py:class:: BC_list(W_space, direction=0, custom_bc_func=None)

   Bases: :py:obj:`object`

   
   Setting Dirichlet boundary condition
















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   .. py:method:: return_affected_dof_tuple()


   .. py:method:: return_bc_list()



.. py:class:: PlateSim(mesh, E, nu, rho, dt, Nsteps, element_wise_thickness=False, custom_bc_func=None, add_self_weight=False, g_factor=None, quad_deg=3, comm=MPI.COMM_WORLD)

   Bases: :py:obj:`object`

   
   Implements St. Venant--Kirchhoff constitutive model for 
   isogeometric shell.
















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   .. py:method:: SVK_residual()


   .. py:method:: assembleStrainEnergy(w)


   .. py:method:: compute_solution_vectors_at_time(disp_arr, i, backwards_timestepping=False)


   .. py:method:: compute_wdot_vector_at_time_n(w_arr)


   .. py:method:: constructStrainEnergy(w)


   .. py:method:: construct_CG2_CG1_interpolation_map()


   .. py:method:: construct_disp_extraction_mats()


   .. py:method:: construct_force_to_pressure_map()


   .. py:method:: construct_nodal_disp_map()


   .. py:method:: create_mat_from_form(inp_form, apply_bcs=False)


   .. py:method:: dRdt(svk_res, w_cur, w_old, wdot_old, adjoint=True)


   .. py:method:: dRdw(svk_res, w_cur, w_old, wdot_old, adjoint=True)

      
      This function assembles the derivative matrix dR/dw, where R is the residual 
      vector of all time steps and w contains all displacements and rotations.
      Inputs:
      w_cur: Solution vector at current time step
      w_old: Solution vector at previous time step
      wdot: Solution time derivative at current time step
















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   .. py:method:: dRdwdot(svk_res, w_cur, w_old, wdot_old)


   .. py:method:: eval_fe_basis_all_dolfinx(x, dofmap_adjacencylist, mesh_bbt, basix_element, x_idx, mat_shape)


   .. py:method:: pnorm_stress(m=1e-06, rho=100, alpha=None, regularization=False)

      
      Compute the p-norm of the stress
      `rho` is the Constraint aggregation factor
















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   .. py:method:: reset_solution_vectors()


   .. py:method:: set_solution_vector(func_obj, arr)
      :staticmethod:


   .. py:method:: set_solution_vectors_for_adjoint(w, w_old, wdot_old)


   .. py:method:: set_up_tip_dofs(x_tip, cell_tip)


   .. py:method:: solve_dynamic_problem(residual, saving_outputs=False, PATH=None, POD_matrix=None, POD_mean=None, timing=False)


   .. py:method:: update_f(f_array)


   .. py:method:: update_f_history(f_history_array)


   .. py:method:: update_materialmodel()


   .. py:method:: update_nsteps(Nsteps)


   .. py:method:: update_t(t_array)


   .. py:method:: update_wdot_vector_at_time(w_vec, w_old_vec, wdot_old_vec)


   .. py:method:: update_wdot_vector_at_time_reverse(w_vec, w_old_vec, wdot_vec)


   .. py:method:: von_Mises_stress()


   .. py:method:: wdot_vector()



.. py:function:: extractTipDispDolfinx(w, x_tip=[10.0, 0.0, 0.0], cell_tip=18)


.. py:data:: comm