3. Modeling A#

3.1. Characteristics of modeling A#

Modeling is AXIS.

Modeling A performs several calculations, with the 2 types of loads (PRES_REPou FORCE_NODALE), and different material assignments (3 different cases).

That is 6 different calculation cases.

Calculation 1:

Vmat1 is assigned the material Material_1.

Vmat2 is assigned the material Material_1.

Loading is done with PRES_REP.

Calculation no. 2:

Vmat1 is assigned the material Material_1.

Vmat2 is assigned the material Material_3.

Loading is done with PRES_REP.

Calculation 3:

Vmat1 is assigned the material Material_1.

Vmat2 is assigned the material Material_2.

Loading is done with PRES_REP.

Calculation no. 4:

Vmat1 is assigned the material Material_1.

Vmat2 is assigned the material Material_1.

Loading is done with FORCE_NODALE.

Calculation 5:

Vmat1 is assigned the material Material_1.

Vmat2 is assigned the material Material_3.

Loading is done with FORCE_NODALE.

Calculation 6:

Vmat1 is assigned the material Material_1.

Vmat2 is assigned the material Material_2.

Loading is done with FORCE_NODALE.

For each of the preceding calculation cases, G has been calculated on different crowns:

Crown 0:

Lower radius = \(0.0\)

Upper radius = \(0.025\)

Crown 1:

Lower radius = \(0.025\)

Upper radius = \(0.05\)

Crown 2:

Lower radius = \(0.05\)

Upper radius = \(0.075\)

Crown 3:

Lower radius = \(0.075\)

Upper radius = \(0.1\)

Crown 4:

Lower radius = \(0.025\)

Upper radius = \(0.5\)

3.2. Characteristics of the mesh#

_images/10000000000001430000025A9194AFAA549FA9ED.png

Number of knots: 3785

Number of meshes and types: 138 SEG3

80 TRI6

1152 QUAD8

The radius of the mesh radiating at the crack point is 0.125.

3.3. Tested sizes and results#

G is calculated for several crowns for each calculation case:

Result for calculation 1:

Size

Crown

Reference Value

Reference Type

Precision (%)

G

0

0.00146438

SOURCE_EXTERNE

7%

G

1

0.00146438

SOURCE_EXTERNE

3%

G

2

0.00146438

SOURCE_EXTERNE

3%

G

3

0.00146438

SOURCE_EXTERNE

3%

G

4

0.00146438

SOURCE_EXTERNE

3%

Result for calculation no. 2:

Size

Crown

Reference Value

Reference Type

Precision (%)

G

0

0.000673168

SOURCE_EXTERNE

5%

G

1

0.000673168

SOURCE_EXTERNE

0.5%

G

2

0.000673168

SOURCE_EXTERNE

0.5%

G

3

0.000673168

SOURCE_EXTERNE

0.5%

G

4

0.000673168

SOURCE_EXTERNE

0.5%

Result for calculation 3:

Size

Crown

Reference Value

Reference Type

Precision (%)

G

0

0.000706637

SOURCE_EXTERNE

11%

G

1

0.000706637

SOURCE_EXTERNE

7%

G

2

0.000706637

SOURCE_EXTERNE

7%

G

3

0.000706637

SOURCE_EXTERNE

7%

G

4

0.000706637

SOURCE_EXTERNE

7%

Result for calculation no. 4:

Size

Crown

Reference Value

Reference Type

Precision (%)

G

0

5.52152E-09

SOURCE_EXTERNE

7%

G

1

5.52152E-09

SOURCE_EXTERNE

3%

G

2

5.52152E-09

SOURCE_EXTERNE

3%

G

3

5.52152E-09

SOURCE_EXTERNE

3%

G

4

5.52152E-09

SOURCE_EXTERNE

3%

Result for calculation no. 5:

Size

Crown

Reference Value

Reference Type

Precision (%)

G

0

2.5974E-09

SOURCE_EXTERNE

3%

G

1

2.5974E-09

SOURCE_EXTERNE

7%

G

2

2.5974E-09

SOURCE_EXTERNE

7%

G

3

2.5974E-09

SOURCE_EXTERNE

7%

G

4

2.5974E-09

SOURCE_EXTERNE

7%

Result for calculation no. 6:

Size

Crown

Reference Value

Reference Type

Precision (%)

G

0

2.53699E-09

SOURCE_EXTERNE

5%

G

1

2.53699E-09

SOURCE_EXTERNE

1%

G

2

2.53699E-09

SOURCE_EXTERNE

1%

G

3

2.53699E-09

SOURCE_EXTERNE

1%

G

4

2.53699E-09

SOURCE_EXTERNE

1%