11. Modeling I#

11.1. Characteristics of modeling#

Modeling: 3D.

Law of linear elastic behavior.

The pre-deformation introduced via the keyword PRE_EPSI in AFFE_CHAR_MECA is defined by an analytical function.

This calculation consists of a 3D modeling of the D model, which is axisymmetric.

11.2. Characteristics of the mesh#

The mesh is obtained from that of modeling A and extended by revolution around the \(\vec{\mathit{oy}}\) axis over an angle of 90° over 10 elements. The rest of the structure is not represented by symmetry.

_images/100000000000057400000259BF0AEA1BCA90D92E.jpg

Number of knots: 11433

Number of meshes and types:

  • 90 TETRA10

  • 270 HEXA27

  • 140 PYRAM13

  • 3360 PENTA15

Elements of BARSOUM are used for the meshes connected to the bottom of the crack.

11.3. Tested sizes and results#

Only the point in the middle of the crack front shown is tested.

Identification

\(G\) (Reference)

\(\text{\%}\) Tolerance

Crown 1: \(\mathrm{Rinf}=1\), \(\text{Rsup}=5\)

0.6305

\(\text{0.0 1 \%}\)

Crown 2: \(\mathrm{Rinf}=5\), \(\text{Rsup}=10\)

0.6304

\(\text{0.0 1 \%}\)

Crown 3: \(\mathrm{Rinf}=10\), \(\text{Rsup}=20\)

0.6303

\(\text{0.0 1 \%}\)

Crown 4: \(\mathrm{Rinf}=20\), \(\text{Rsup}=30\)

0.6302

\(\text{0.0 1 \%}\)