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USFOS
R e a l i t y E n g i n e e r i n g
Non linear
Shell Element
Verification
USFOS
R e a l i t y E n g i n e e r i n g
Distribution of Plastic strain. (red is 0.5%). Displacements are scaledDistribution of Plastic strain. (red is 0.5%). Displacements are scaled
USFOS
R e a l i t y E n g i n e e r i n g
0
0.2
0.4
0.6
0.8
1
1.2
0 5 10 15 20 25 30 35 40 45 50Appl
ied
Pres
sure
/Low
er B
.Lim
it Pr
ess.
Midpoint displacement [mm]
Shell Verification Case no 1A: Plate Bending10_2016_3204_12
0
0.2
0.4
0.6
0.8
1
1.2
0 5 10 15 20 25 30 35 40 45 50Appl
ied
Pres
sure
/Low
er B
.Lim
it Pr
ess.
Midpoint displacement [mm]
Shell Verification Case no 1A: Plate Bending10_20_Itr16_32_Itr04_12_Itr
Equilibrium Corrections onlyEquilibrium Corrections only Iterations includedIterations included
USFOS
R e a l i t y E n g i n e e r i n g
0
0.2
0.4
0.6
0.8
1
1.2
0 5 10 15 20 25 30 35 40 45 50Appl
ied
Pres
sure
/Low
er B
.Lim
it Pr
ess.
Midpoint displacement [mm]
Shell Verification Case no 1A: Plate Bending04_1204_12_Itr
0
0.2
0.4
0.6
0.8
1
1.2
0 5 10 15 20 25 30 35 40 45 50Appl
ied
Pres
sure
/Low
er B
.Lim
it Pr
ess.
Midpoint displacement [mm]
Shell Verification Case no 1A: Plate Bending10_2010_20_Itr
0
0.2
0.4
0.6
0.8
1
1.2
0 5 10 15 20 25 30 35 40 45 50Appl
ied
Pres
sure
/Low
er B
.Lim
it Pr
ess.
Midpoint displacement [mm]
Shell Verification Case no 1A: Plate Bending16_3216_32_Itr
4 x 12 mesh4 x 12 mesh
10 x 20 mesh10 x 20 mesh
16 x 32 mesh16 x 32 mesh
USFOS
R e a l i t y E n g i n e e r i n g
Quadratic Plate with uniformly distributed load
Plate length/width/thickness : 800 / 800 / 80 [mm]
Yield stress : 400 [MPa]
E-module : 210.000 [MPa]
Mp : σ t2 / 4 = 0.64E6 [Nm]
“Limit pressure” : 24 Mp / width2 = 24E6 [N/m2]
USFOS
R e a l i t y E n g i n e e r i n g
USFOS
R e a l i t y E n g i n e e r i n g
0
0.5
1
1.5
2
2.5
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014Dist
ribut
ed lo
ad n
orm
aliz
ed w
rt lim
it lo
ad
Midpoint displacement
USFOS Shell Verification Case no 1B. Iter vs Eq_Corrq_2_2 q_2_2_it
0
0.5
1
1.5
2
2.5
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014Dist
ribut
ed lo
ad n
orm
aliz
ed w
rt lim
it lo
ad
Midpoint displacement
USFOS Shell Verification Case no 1B. Iter vs Eq_Corrq_4_4 q_4_4_it
0
0.5
1
1.5
2
2.5
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014Dist
ribut
ed lo
ad n
orm
aliz
ed w
rt lim
it lo
ad
Midpoint displacement
USFOS Shell Verification Case no 1B. Iter vs Eq_Corrq_8_8 q_8_8_it
0
0.5
1
1.5
2
2.5
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014Dist
ribut
ed lo
ad n
orm
aliz
ed w
rt lim
it lo
ad
Midpoint displacement
USFOS Shell Verification Case no 1B. Tri vs Quad tri_2_2 itquad_2_2 it
0
0.5
1
1.5
2
2.5
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014Dist
ribut
ed lo
ad n
orm
aliz
ed w
rt lim
it lo
ad
Midpoint displacement
USFOS Shell Verification Case no 1B. Tri vs Quad tri_4_4 itquad_4_4 it
0
0.5
1
1.5
2
2.5
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014Dist
ribut
ed lo
ad n
orm
aliz
ed w
rt lim
it lo
ad
Midpoint displacement
USFOS Shell Verification Case no 1B. Tri vs Quad tri_8_8 itquad_8_8 it
USFOS
R e a l i t y E n g i n e e r i n g
USFOS
R e a l i t y E n g i n e e r i n g
Plate BucklingPlate length/width/thickness : 1000/1000 / 20 [mm]
Yield stress : 400 [MPa]
E-module : 210.000 [MPa]
Boundary Conditions : Edge 1 : 001000Edge 2 : 001000Edge 3 : 111000Edge 4 : 001000
Imperfection : 2 mm (first mode)
USFOS
R e a l i t y E n g i n e e r i n g
Plate Buckling
Axial ForceAxial Force
USFOS
R e a l i t y E n g i n e e r i n g
Plate Buckling
0
1
2
3
4
5
6
0 1 2 3 4 5 6 7 8
Axi
al F
orce
[kN
].
Plate Shortening [mm]
Shell Verification Case no 2: Plate Buckling Usfos 10x10
AbaqusAbaqus
USFOS
R e a l i t y E n g i n e e r i n g
Buckling of Aluminium Plate Girder Load
Thick : 4 mmy : 192 MPa
Thick : 4 mmy : 192 MPa
Thick : 15 mmy : 262 MPa
Thick : 15 mmy : 262 MPa
Thick : 30 mmy : 262 MPa
Thick : 30 mmy : 262 MPa
' matno E-mod poiss yield density term.expMISOIEP 1 70000E6 0.3 210E+06 2700 2.4E-5 -3 257E+06 0.1130#MISOIEP 1 70000E6 0.3 192E+06 2700 2.4E-5 -3 350E+06 0.1130! Old valueMISOIEP 2 70000E6 0.3 262E+06 2700 2.4E-5 -3 440E+06 0.1350# temperature 200 degree C#MISOIEP 1 60000E6 0.3 167E+06 2700 2.4E-5 -3 181E+06 0.15#MISOIEP 2 60000E6 0.3 153E+06 2700 2.4E-5 -3 190E+06 0.15
# temperature 225 degree C#MISOIEP 1 57000E6 0.3 138E+06 2700 2.4E-5 -3 157E+06 0.15#MISOIEP 2 57000E6 0.3 147E+06 2700 2.4E-5 -3 164E+06 0.15
USFOS
R e a l i t y E n g i n e e r i n g
The out of plane deformations at the load of
180 KN (displ. x 2)
The out of plane deformations at the bifurcation load of 75KN.
(displ.x 20, utilis. x 10))
The out of plane deformations at collapse (displ. x 1)
USFOS
R e a l i t y E n g i n e e r i n g
Load vs displacement for plate girder
0
50
100
150
200
250
300
0 40 80 120 160
Displacement [mm]
Load
[kN
]
Test 25 CTest 200 CTest 225 CABAQUS 25 CABAQUS 200 CABAQUS 225 CUSFOS 25 CUSFOS 200 CUSFOS 225 C
Load vs. displacement for plate girder:Comparion between tests and ABAQUS & USFOS
Note: Material model in USFOS and ABAQUS not exactly identical
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