5. C modeling#

5.1. Characteristics of modeling#

Same as modeling A except for the 3D_ INCO_UPG elements.

5.2. Characteristics of the mesh#

Number of knots: 9967

Number of meshes and type: 864 PENTA15 and 1568 HEXA20

The characteristic length of an element near the crack bottom is \(\mathrm{0,06}m\).

The middle nodes of the edges of the elements touching the bottom of the crack are moved to a quarter of these edges.

5.3. Tested sizes and results#

The theta field integration crowns for command CALC_G are:

\(\text{RINF}\mathrm{=}\mathrm{0,1}m\) and \(\text{RSUP}\mathrm{=}\mathrm{0,5}m\).

We choose a LINEAIRE type of straightening.

The parameter ABS_CURV_MAXI of the POST_K1_K2_K3 operator is chosen so as to retain 5 nodes on the extrapolation segment.

To test the value of \({K}_{I}\) for all points at the bottom of the crack, we test the \(\mathit{min}\) and the \(\mathit{max}\) values along the bottom.

\({K}_{\mathit{II}}\) is tested only to the point where \(\omega \mathrm{=}0°\) (where \({K}_{\mathit{II}}\) is normally maximum).

\({K}_{\mathit{III}}\) is tested only to the point where \(\omega \mathrm{=}90°\) (where \({K}_{\mathit{III}}\) is normally maximum).

Theoretically, you should test the absolute value of \({K}_{\mathit{II}}\) and \({K}_{\mathit{III}}\) because the sign is arbitrary.

5.3.1. Values from CALC_G#

The values are in \(\mathit{Pa}\mathrm{.}\sqrt{m}\) obtained from the SSLV154A test case.

Identification

Reference Type

Reference Value

% Tolerance

\(\mathit{max}({K}_{I})\)

“ANALYTIQUE”

8,361 105

3%

\(\mathit{min}({K}_{I})\)

“ANALYTIQUE”

8,361 105

1%

\({K}_{\mathit{II}}\) in \(\omega \mathrm{=}0°\)

“ANALYTIQUE”

8,644 105

4.5%

\({K}_{\mathit{III}}\) in \(\omega \mathrm{=}90°\)

“ANALYTIQUE”

6,747 105

3%