Summary of results
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This document validates the MEMBRANE element in large deformations for linear, quadratic, and bi-quadratic elements, as well as the loading options PESANTEUR and PRES_REP (with TYPE_CHARGE =' FIXE_CSTE ') applied to membranes. This validation is based on comparison with a semi-analytical result and is complemented by several non-regression tests.

We obtain results that are very close to the reference solution (:math:`\text{}<\mathrm{0,05}\text{\%}`) in all the tests, this confirms that the model is similar to that of the heavy cable. Better results could undoubtedly have been obtained with a membrane of smaller width, in order to approximate the cable hypothesis.

Moreover, in this model, the results converge much more quickly for linear elements without degrading the solution while moving.