:py:mod:`femo_alpha.rm_shell.rm_shell_pde`
==========================================

.. py:module:: femo_alpha.rm_shell.rm_shell_pde


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

Classes
~~~~~~~

.. autoapisummary::

   femo_alpha.rm_shell.rm_shell_pde.RMShellPDE




.. py:class:: RMShellPDE(mesh, element_wise_material=False, elementwise_pressure=False)

   
   Class for the PDE of the Reissner-Mindlin shell element and essential outputs
















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   .. py:method:: area_subdomain(uhat, dxx)


   .. py:method:: compliance(u_mid, uhat, h, f)


   .. py:method:: compute_nodal_disp(func)


   .. 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:: elastic_energy(w, uhat, h, E)


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


   .. py:method:: mass(uhat, h, rho)


   .. py:method:: pdeRes(h, w, uhat, f, E, nu, penalty=False, dss=ufl.ds, dSS=ufl.dS, g=None)


   .. py:method:: pnorm_stress(w, uhat, h, E, nu, dx, 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:: projected_von_Mises_stress(vm_stress)


   .. py:method:: regularization(h, type=None)


   .. py:method:: sum_stress_subdomain(w, uhat, h, E, nu, dxx)

      
      Computes the average stress in global coordiantes over a subdomain
















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   .. py:method:: tip_disp(u_mid, uhat, dxx)


   .. py:method:: volume(uhat, h)


   .. py:method:: von_Mises_stress(w, uhat, h, E, nu, surface='Top')