3. Modeling A#

3.1. Characteristics of modeling#

Shell element DKT (quarter plate modeling)

Number of layers: COQUE_NCOU = 3

_images/100082DA000012660000115DC843F035636DB5FC.svg

Boundary conditions:

DDL_IMPO

at all the nodes of the arc ABC

(GROUP_NO = “ABC”, DX= 0. , DY= 0. , DZ= 0.) DRX =0. , DRY =0. , DRZ =0.)

at all nodes in the segment] OA [

(GROUP_NO = “OA”, DY= 0. , DRX =0. , DRZ =0.)

at all the nodes in the segment] OC [

(GROUP_NO = “OC”, DX= 0. , DRY =0. , DRZ =0.)

to node O

(GROUP_NO = “O”, DX= 0. , DY= 0. , DRX =0. , DRY =0. , DRZ =0.)

Point O

meshes: M30, M33

Point A

meshes: M76

Point B

meshes: M39, M40, M51

Point C

meshes: M1

Point D

meshes: M55, M56, M65

Point E

meshes: M8, M17, M18

Point F

meshes: M34, M35, M35, M37, M41, M46, M47, M48

3.2. Characteristics of the mesh#

Number of knots: 50

Number of meshes and types: 76 TRIA3

3.3. Tested sizes and results#

Identification

Reference type

Reference values

Love-Kirchhoff

Tolerance \((\text{\%})\)

O

_images/Object_11.svg

“ANALYTIQUE”

—170.6251

1.0

D

_images/Object_12.svg

“ANALYTIQUE”

—95.9766

0.75

E

_images/Object_13.svg

“ANALYTIQUE”

—95.9766

0.75

F

_images/Object_14.svg

“ANALYTIQUE”

—78.897

0.5

Identification

Reference type

Reference values

Tolerance \((\text{\%})\)

O

_images/Object_198.svg

“ANALYTIQUE”

—0.08125

3.0

_images/Object_199.svg

“ANALYTIQUE”

—0.08125

3.0

A

_images/Object_195.svg

“ANALYTIQUE”

0.125

2.0

_images/Object_196.svg

“ANALYTIQUE”

0.0375

2.0

B

_images/Object_201.svg

“ANALYTIQUE”

0.08125

5.0

_images/Object_202.svg

“ANALYTIQUE”

0.08125

5.0

C

_images/Object_204.svg

“ANALYTIQUE”

0.125

2.0

_images/Object_205.svg

“ANALYTIQUE”

0.0375

2.0

D

_images/Object_207.svg

“ANALYTIQUE”

—0.02969

7.0

_images/Object_208.svg

“ANALYTIQUE”

—0.05156

3.5

E

_images/Object_210.svg

“ANALYTIQUE”

—0.02969

7.0

_images/Object_211.svg

“ANALYTIQUE”

—0.05156

3.5

F

_images/Object_213.svg

“ANALYTIQUE”

—0.02925

3.5

_images/Object_214.svg

“ANALYTIQUE”

—0.02925

4.5

We also test:

  • the continuity of fields EPSI_ELGA and EPSI_ELNO between layers (non-regression tests). In fact, the value calculated at level SUP of the N layer is equal to the value calculated at the INF level of the COUCHE N+1,

  • the volume distribution of component SIYY (non-regression tests) of fields SIEF_ELGA and SIGM_ELNO as well as the volume of the circular plate.