3. Modeling A

3.1. Characteristics of modeling

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

3.2. Characteristics of the mesh

A linear unstructured mesh of the perforated half-plate and of the potential crack is produced.

Solid elements (\(\mathit{DCB}\)): 404 TRIA3

Joint elements (crack path): 19 QUAD4

3.3. Tested sizes and results

We perform non-regression tests on the global response: \({F}^{i}\) resulting from the force imposed on the upper face versus \(U\) movement of the node \(P\) to the top of the hole.

Size tested	Code_Aster	Tolerance ( \(\text{\%}\) )
\(U\) at time 50	3.3166D-03	0.10
\(F\) at time 50	4.26153D+07	0.10
\(U\) at time 100	1.29488D-03	0.10
\(F\) at time 100	2.73873D+06	0.10
\(U\) at the moment 150	6.45752D-03	0.10
\(F\) at time 150	7.87206D+06	0.10
\(U\) at time 200	1.04754D-02	0.10
\(F\) at time 200	2.16189D+06	0.10