15. Summary of results#

% of differences compared to the reference solutions

DKT

DKQ

DST

DSQ

Q4G

Fashionable.

A

Love-

B

Kirchhoff

E

Love-Kirchhoff

F

Reissner

G

Reissner

H

Reissner

Point

50 knots

76 TRIA3

170 knots

296 TRIA3

169 knots

147 QUAD4

170 knots

296 TRIA3

169 knots

147 QUAD4

169 knots

147 QUAD4

O

_images/Object_147.svg

—0.76

+0.12

+0.22

+0.74

+0.19

—0.08

D

_images/Object_148.svg

—0.23

+0.18

+0.23

+0.77

+0.19

—0.28

E

_images/Object_149.svg

—0.25

+0.24

+0.23

+0.84

+0.19

—0.28

F

_images/Object_150.svg

—0.32

+0.22

+0.20

+0.75

+0.14

—0.34

Q4G

Fashionable.

M

Reissner

Point

561 knots - 1036 TRIA3

O

_images/Object_58.svg

+0.176

D

_images/Object_280.svg

+0.225

E

_images/Object_281.svg

+0.225

F

_images/Object_282.svg

COQU_AXIS

MEC3QU9H

MEC3TR7H

Fashionable.

I Love-Kirchhoff

J Reissner

K

L

Point

21 knots 10 SEG3

96 knots 25 QUAD9

121 knots 50 TRIA7

O
_images/Object_151.svg

+0.51

0.03

—0.16

—0.13

D
_images/Object_152.svg

+0.28

0.05

—0.029

—0.35

E
_images/Object_153.svg

—0.029

—0.35

F
_images/Object_154.svg

+0.22

DKT

DKQ

DST

DSQ

Q4G

Fashionable.

A

Love-

B

Kirchhoff

E

Love-Kirchhoff

F

Reissner

G

Reissner

H

Reissner

Point

50 knots

76 TRIA3

170 knots

296 TRIA3

169 knots

147 QUAD4

170 knots

296 TRIA3

169 knots

147 QUAD4

169 knots

147 QUAD4

O

_images/Object_155.svg

—1.15

+0.19

+0.46

+1.04

—0.33

—0.07

A

_images/Object_156.svg

+0.81

+4.02

+0.49

+5.26

+3.79

—10.73

B

_images/Object_157.svg

+4.58

+2.64

+0.20

+2.02

+1.69

—10.95

C

_images/Object_158.svg

+0.75

+4.13

+0.45

+5.34

+3.64

—10.69

D

_images/Object_159.svg

+4.55

+1.99

+2.71

+2.07

+0.40

+0.74

E

_images/Object_160.svg

+4.55

+2.19

+2.71

+2.29

+0.40

+0.74

F

_images/Object_161.svg

+1.71

+2.05

—0.79

+1.19

+17.80

—0.94

Q4G

Fashionable.

M

Reissner

Point

561 knots - 1036 TRIA3

O

_images/Object_283.svg

+0.265

A

_images/Object_284.svg

+1.65

B

_images/Object_285.svg

+4.95

C

_images/Object_286.svg

+1.73

D

_images/Object_287.svg

+5.18

E

_images/Object_288.svg

+5.50

F

_images/Object_289.svg

+4.07

COQU_AXIS

MEC3QU9H

MEC3TR7H

Fashionable.

I Love-Kirchhoff

J Reissner

K

L

Point

21 knots 10 SEG3

96 knots 25 QUAD9

121 knots 50 TRIA7

O
_images/Object_162.svg

+0.18

+0.62

2.67

2.89

A
_images/Object_163.svg

+14.2

—1.01

—1.45

—1.33

B
_images/Object_164.svg
C
_images/Object_165.svg

—1.46

—1.32

D
_images/Object_166.svg

+0.84

—0.85

1.08

—1.23

E
_images/Object_167.svg

0.95

—1.23

F
_images/Object_168.svg

Note s :

Regarding efforts, direct calculation at the nodes leads to discrepancies in several nodes, especially at point F in DSQet on the edge \(\mathrm{ABC}\) en Q4G.

Modeling with COQUE_SOLIDE elements (N modeling) is the only plate modeling that accounts for the pinch effect with a linear constraint in the thickness.