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"# Locking-free Reissner-Mindlin plate with Crouzeix-Raviart interpolation\n",
"\n",
"This tour explores a new discretization strategy for Reissner-Mindlin plates. It is known that such thick plate discretizations face the shear-locking issue in the thin plate limit. Different strategies can be adopted to alleviate this issue such as:\n",
"\n",
"* reduced integration (see [Reissner-Mindlin plate with Quadrilaterals](https://comet-fenics.readthedocs.io/en/latest/demo/reissner_mindlin_quads_reduced_integration/reissner_mindlin_quads.py.html))\n",
"* Discontinuous Galerkin methods (see [Reissner-Mindlin plate with a Discontinuous-Galerkin approach](https://comet-fenics.readthedocs.io/en/latest/demo/reissner_mindlin_discontinuous_galerkin/reissner_mindlin_dg.py.html))\n",
"* mixed methods (see the `fenics-shells` [demo using the Duran-Liberman element](https://fenics-shells.readthedocs.io/en/latest/demo/reissner-mindlin-clamped/demo_reissner-mindlin-clamped.py.html))\n",
"* and many more...\n",
"\n",
"Often such methods can be quite cumbersome to implement, even more with FEniCS. In this tour, we investigate another discretization which does not seem to have been widely studied in the literature, except in [[CAM03]](#References) and subsequent works from the same group of authors where it has been used for a shell element. Note that Crouzeix-Raviart elements have already been used in Reissner-Mindlin plate models such as in [[ARN89]](#References) but with a different discretization strategy than the present one.\n",
"\n",
"The discretization that we will explore is extremely simple:\n",
"\n",
"* $P^2$ Lagrange continuous interpolation for the plate deflection $w$\n",
"* Crouzeix-Raviart (CR) interpolation for the rotation vector $\\boldsymbol{\\theta}$\n",
"\n",
"We recall that the CR interpolation corresponds to a piecewise linear interpolation with continuity satisfied only at the mid-points of the element edges. In this sense, the element is non-conforming, akin to the DG approach mentioned before. However, the rotation field is not fully discontinuous and it seems that numerical stabilization of jump terms as in DG methods is not necessary. In the following, we will also compare the P2/CR interpolation results with a continuous P2/P1 interpolation which is known to exhibit shear-locking without any specific treatment.\n",
"\n",
"\n",
"\n",
"## FEniCS implementation\n",
"\n",
"The implementation is very similar to the previously mentioned tours except that no reduced integration or jump terms have to be included in the formulation. Again, we will investigate a square plate under uniform loading and clamped supports."
]
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"source": [
"The complete source files including convergence results can be obtained from \n",
":download:`reissner_mindlin_CR.zip`."
]
},
{
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\n",
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