7. F modeling

7.1. Characteristics of modeling

Same as C modeling with quadratic elements.

7.2. Characteristics of the mesh

The mesh is composed of linear elements (560 meshes QUA8 - 600 knots). The refinement of the mesh is uniform (18 elements according to \(x\) and 31 elements according to \(y\)), identical to the C modeling.

7.3. Tested sizes and results

The \(\mathrm{DY}\) component of the displacement is tested at the two points where the crack opens (points on each of the lips), at the last moment of the calculation (imposed displacement \(\mathrm{0,1}\mathrm{mm}\)). This test is carried out on the displacement field created by the operator POST_CHAM_XFEM.

The reference value is the solution obtained in modeling A.

Lip considered	Reference ( \(\mathrm{mm}\) )	Difference ( \(\text{\%}\) )
Lip \(y>0\)	9,876.10-2	2%
Lip \(y<0\)	-9,876.10-2	2%

This test validates the nonlinear elasticity calculation for X- FEM models and quadratic elements under plane stresses.