4. C modeling

4.1. Characteristics of modeling

The simulation of the propagation of cracks by brittle fracture is carried out with modeling PLAN_INTERFACE and the law of behavior CZM_OUV_MIX for cohesive meshes. The solid elements, in plane deformations D_ PLAN, are elastic.

4.2. Characteristics of the mesh

An unstructured quadratic mesh of the perforated half-plate and of the potential crack is produced.

Solid elements (\(\mathrm{DCB}\)): 404 TRIA6

Interface elements (crack path): 19 QUAD8

4.3. Tested sizes and results

Non-regression tests are performed on the overall response: \({F}^{i}\) resulting from the force imposed on the upper face versus \(U\) displacement of the node \(P\) at the top of the hole.

Size tested	Code_Aster	Tolerance ( \(\text{\%}\) )
\(U\) at the moment 50	2.87853E-03	0.10
\(F\) at time 50	2.88263E+07	0.10
\(U\) at the moment 75	6.55609E-03	0.10
\(F\) at time 75	1.04922E+07	0.10
\(U\) at time 100	7.47879E-03	0.10
\(F\) at time 100	4.94452E+06	0.10
\(U\) at time 140	0.0157679	0.10
\(F\) at time 140	8.56080E+05	0.10