3. Modeling A#

3.1. Characteristics of modeling#

Modeling \(\mathrm{2D}\) , axisymmetric ( SEG3 , QUAD8 )

_images/Shape3.gif

3.2. Characteristics of the mesh#

Number of knots: 63

Count of elements: 26 SEG3, 12 QUAD8.

3.3. Tested sizes and results#

Below is the comparison of Aster results with respect to the reference results from the calculation code CUVE1D in version 2.1:

Offset = 0.mm

Value type

Moment (s)

Reference Type

Reference (Map)

% Tolerance

K1_ REV

0

“SOURCE_EXTERNE”

1.5349

0.1

KCP_REV

0

“SOURCE_EXTERNE”

1.8363

0.5

TEMPPF_REV

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ MDB

0

“SOURCE_EXTERNE”

1.522

1.0

KCP_MDB

0

“SOURCE_EXTERNE”

2.0203

1.0

TEMPFF_MDB

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ REV

210

“SOURCE_EXTERNE”

4.8435

1.5

KCP_REV

210

“SOURCE_EXTERNE”

6.2753

1.5

TEMPPF_REV

210

“SOURCE_EXTERNE”

105.19

1.5

K1_ MDB

210

“SOURCE_EXTERNE”

4.4915

1.5

KCP_MDB

210

“SOURCE_EXTERNE”

6.7053

1.5

TEMPFF_MDB

210

“SOURCE_EXTERNE”

105.19

18.0

K1_ REV

3871

“SOURCE_EXTERNE”

3.724

0.5

KCP_REV

3871

“SOURCE_EXTERNE”

1.8043

1.0

TEMPPF_REV

3871

“SOURCE_EXTERNE”

84.98

0.5

K1_ MDB

3871

“SOURCE_EXTERNE”

3.506

1.0

KCP_MDB

3871

“SOURCE_EXTERNE”

2.5675

1.5

TEMPFF_MDB

3871

“SOURCE_EXTERNE”

84.98

1.6

Offset = 2.5mm

Value type

Moment (s)

Reference Type

Reference (Map)

% Tolerance

K1_ REV

0

“SOURCE_EXTERNE”

1.5192

0.1

KCP_REV

0

“SOURCE_EXTERNE”

1.7565

4.0

TEMPPF_REV

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ MDB

0

“SOURCE_EXTERNE”

1.5105

0.1

KCP_MDB

0

“SOURCE_EXTERNE”

1.9039

5.5

TEMPFF_MDB

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ REV

210

“SOURCE_EXTERNE”

4.5346

1.5

KCP_REV

210

“SOURCE_EXTERNE”

5.8735

1.5

TEMPPF_REV

210

“SOURCE_EXTERNE”

112.4

1.5

K1_ MDB

210

“SOURCE_EXTERNE”

4.2037

1.5

KCP_MDB

210

“SOURCE_EXTERNE”

6.2731

1.5

TEMPFF_MDB

210

“SOURCE_EXTERNE”

129.23

1.5

K1_ REV

3871

“SOURCE_EXTERNE”

3.531

0.5

KCP_REV

3871

“SOURCE_EXTERNE”

1.693

1.0

TEMPPF_REV

3871

“SOURCE_EXTERNE”

85.44

0.5

K1_ MDB

3871

“SOURCE_EXTERNE”

3.531

6.0

KCP_MDB

3871

“SOURCE_EXTERNE”

2.4172

1.0

TEMPFF_MDB

3871

“SOURCE_EXTERNE”

86.54

0.5

Offset = 5.0mm

Value type

Moment (s)

Reference Type

Reference (Map)

% Tolerance

K1_ REV

0

“SOURCE_EXTERNE”

1.5105

0.1

KCP_REV

0

“SOURCE_EXTERNE”

1.7044

6.0

TEMPPF_REV

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ MDB

0

“SOURCE_EXTERNE”

1.5028

0.1

KCP_MDB

0

“SOURCE_EXTERNE”

1.8244

9.0

TEMPFF_MDB

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ REV

210

“SOURCE_EXTERNE”

4.2543

1.5

KCP_REV

210

“SOURCE_EXTERNE”

5.499

1.0

TEMPPF_REV

210

“SOURCE_EXTERNE”

119.5

1.5

K1_ MDB

210

“SOURCE_EXTERNE”

3.9338

1.5

KCP_MDB

210

“SOURCE_EXTERNE”

5.8529

1.5

TEMPFF_MDB

210

“SOURCE_EXTERNE”

136.03

1.5

K1_ REV

3871

“SOURCE_EXTERNE”

3.357

0.5

KCP_REV

3871

“SOURCE_EXTERNE”

1.5872

0.2

TEMPPF_REV

3871

“SOURCE_EXTERNE”

85.9

0.5

K1_ MDB

3871

“SOURCE_EXTERNE”

3.156

0.5

KCP_MDB

3871

“SOURCE_EXTERNE”

2.2645

0.1

TEMPFF_MDB

3871

“SOURCE_EXTERNE”

86.99

0.5

Offset = 7.5mm

Value type

Moment (s)

Reference Type

Reference (Map)

% Tolerance

K1_ REV

0

“SOURCE_EXTERNE”

1.5049

0.1

KCP_REV

0

“SOURCE_EXTERNE”

1.668

8.5

TEMPPF_REV

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ MDB

0

“SOURCE_EXTERNE”

1.4972

0.1

KCP_MDB

0

“SOURCE_EXTERNE”

1.7679

12.5

TEMPFF_MDB

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ REV

210

“SOURCE_EXTERNE”

3.9887

1.5

KCP_REV

210

“SOURCE_EXTERNE”

5.1214

0.5

TEMPPF_REV

210

“SOURCE_EXTERNE”

126.48

1.5

K1_ MDB

210

“SOURCE_EXTERNE”

3.6757

1.5

KCP_MDB

210

“SOURCE_EXTERNE”

5.4159

0.1

TEMPFF_MDB

210

“SOURCE_EXTERNE”

142.69

1.5

K1_ REV

3871

“SOURCE_EXTERNE”

3.191

6.0

KCP_REV

3871

“SOURCE_EXTERNE”

1.469

4.0

TEMPPF_REV

3871

“SOURCE_EXTERNE”

86.35

1.0

K1_ MDB

3871

“SOURCE_EXTERNE”

2.993

6.0

KCP_MDB

3871

“SOURCE_EXTERNE”

2.0853

3.5

TEMPFF_MDB

3871

“SOURCE_EXTERNE”

87.44

1.0

Offset = 10.0mm

Value type

Moment (s)

Reference Type

Reference (Map)

% Tolerance

K1_ REV

0

“SOURCE_EXTERNE”

1.5007

0.1

KCP_REV

0

“SOURCE_EXTERNE”

1.6411

9.5

TEMPPF_REV

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ MDB

0

“SOURCE_EXTERNE”

1.4928

0.1

KCP_MDB

0

“SOURCE_EXTERNE”

1.7258

14.0

TEMPFF_MDB

0

“SOURCE_EXTERNE”

287.0

0.1

K1_ REV

210

“SOURCE_EXTERNE”

3.7326

1.5

KCP_REV

210

“SOURCE_EXTERNE”

4.7283

1.0

TEMPPF_REV

210

“SOURCE_EXTERNE”

133.33

1.5

K1_ MDB

210

“SOURCE_EXTERNE”

3.4263

1.5

KCP_MDB

210

“SOURCE_EXTERNE”

4.9503

2.0

TEMPFF_MDB

210

“SOURCE_EXTERNE”

149.21

1.5

K1_ REV

3871

“SOURCE_EXTERNE”

3.03

0.2

KCP_REV

3871

“SOURCE_EXTERNE”

1.3289

8.0

TEMPPF_REV

3871

“SOURCE_EXTERNE”

86.81

0.5

K1_ MDB

3871

“SOURCE_EXTERNE”

2.834

0.5

KCP_MDB

3871

“SOURCE_EXTERNE”

1.8787

8.0

TEMPFF_MDB

3871

“SOURCE_EXTERNE”

87.89

0.5

The following figures show the changes in the elastic stress intensity factor and the plastically corrected stress intensity factor at point A (REV) and at point B (MDB) of the defect obtained with Code_Aster. These changes are compared to the reference solution.

_images/10000000000002DC000001C66AA3E8660BA0ECDF.png

Figure 3.3-a: Elastic stress intensity factor for the tip on the coating side

_images/10000000000002DA000001C404EBE0AD45D5C9E3.png

Figure 3.3-b: Elasto-plastic stress intensity factor for the tip on the coating side

_images/100000000000028C0000019D021C04C9CA6E257D.png

Figure 3.3-c: Elastic stress intensity factor for the base metal tip

_images/100000000000028D0000019EC2EB9DC6CFAC7D7C.png

Figure 3.3-d: Elasto-plastic stress intensity factor for the base metal tip