12. M modeling#

The crack bottom is closed. We calculate \(G\).

12.1. Characteristics of modeling#

_images/10000000000002EC00000242F33EBCD25DBBD74F.png

As for modeling A, the advantage of this modeling is to represent the entire crack background, which is a closed curve, without taking advantage of the symmetries of the problem.

A rigid body rotation load is initially applied in order to place itself in a situation of major transformations. A tensile load applied to the deformation is then taken into account in a second step.

12.2. Characteristics of the mesh#

Number of knots: 11114

Number of meshes and type: 2432 PENTA15

The middle nodes of the edges of the elements touching the bottom of the crack are moved to a quarter of these edges. The mesh is identical to that used for modeling A.

12.3. Tested sizes and results#

Identification

Reference

Reference type

\(\text{\%}\) tolerance

G local Node \(N403\) - Discretization LINEAIRE, R_ INF and R_ SUP

11.586

ANALYTIQUE

3.0

G local Node \(N2862\) - Discretization LINEAIRE, R_ INF and R_ SUP

11.586

ANALYTIQUE

2.0

G local Node \(N375\) - Discretization LINEAIRE, R_ INF and R_ SUP

11.586

ANALYTIQUE

3.0

G local Node \(N292\) - Discretization LINEAIRE, R_ INF and R_ SUP

11.586

ANALYTIQUE

2,4

\(\mathit{max}(G\mathit{local})\) - Discretization LINEAIRE, R_ INF R_ SUP

11.59

ANALYTIQUE

2.5

\(\mathit{min}(G\mathit{local})\) - Discretization LINEAIRE, R_ INF R_ SUP

11.59

ANALYTIQUE

2.0