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Schema volumes finis : Estimation d’erreur a posteriori
hierarchique par elements finis mixtes. Resolution de
problemes d’elasticite non-linearie
Hicham Souhail
To cite this version:
Hicham Souhail. Schema volumes finis : Estimation d’erreur a posteriori hierarchique par elements
finis mixtes. Resolution de problemes d’elasticite non-linearie. Mathématiques [math]. Ecole Centrale
de Lyon, 2004. Français. �tel-00005418�
HAL Id: tel-00005418
https://tel.archives-ouvertes.fr/tel-00005418
Submitted on 22 Mar 2004
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ƒ_„† 8 ^ •& ZVZŒ {
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Deplacement horizontal
Deplacement horizontal
−0.06
−0.13
U
U
−0.08
−0.1
−0.135
−0.12
−0.14
−0.14
−1
−0.8
−0.6
−0.4
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−0.2
0
0
Deplacement vertical
0.02
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0.03
0.04
Deplacement vertical
0.2
0.03
0.15
0.02
V
0.04
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0.25
0.1
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0.05
0
0
−1
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0.01
−0.8
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0.02
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Composante xx de sigma
0.04
0.35
0.3
0.03
SIGMA11
SIGMA11
0.25
0.02
0.01
0.2
0.15
0.1
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−0.01
−1
0.05
−0.5
0
0
0.5
0
0.01
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Composante xy de sigma
0.02
k=0
0.03
0.04
Composante xy de sigma
0.005
0.5
0
0
SIGMA12
SIGMA12
−0.005
−0.01
−0.015
−0.02
−0.5
−1
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−0.03
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Composante yy de sigma
14
0.05
12
0.04
10
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SIGMA22
Composante yy de sigma
0.06
0.03
0.02
8
6
0.01
4
0
2
−0.01
−1
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0
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Deplacement horizental
Deplacement horizontal
−0.04
−0.02
−0.025
−0.05
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U
−0.03
−0.06
−0.035
−0.07
−0.04
−0.08
−1
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0
−0.045
0.5
0
0.01
0.02
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0.03
0.04
Deplacement vertical
0.02
−0.0454
0
−0.0456
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−0.0452
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0.04
−0.02
−0.0458
−0.04
−0.046
−0.06
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15
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Composante xx de PK1
0.03
0.04
Composante xx de PK1
0.06
0.05
10
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0.03
0.02
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Composante xx de sigma
3 0% 0.08
SIGMA11
SIGMA11
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10
5
0.06
0.04
0
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Composante xy de sigma
Composante xy de sigma
0.05
0.04
SIGMA12
SIGMA12
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5
0
0.02
0.01
−5
−1
−0.8
−3
3
0.03
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−0.6
−0.4
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0
0
0.01
Composante yy de sigma
0.02
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0.03
0.04
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0.045
0.04
0.035
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SIGMA22
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1
0.03
0.025
0.02
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0.015
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Composante xx de sigma
0.04
0.25
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SIGMA11
0.02
0.01
0
0.15
0.1
−0.01
0.05
−0.02
−0.03
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SIGMA12
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−2
−4
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SIGMA22
Composante yy de sigma
0.04
Composante xy de sigma
−2
0.03
2
2
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0
0
0.5
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0.35
1.5
0.3
104 MPa maxsigma12
104 MPa maxsigma11
0.25
0.2
0.15
0.1
1
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0.05
0
0
0.05
0.1
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0.15
0
0.2
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0.05
0.1
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0.15
0.2
Evolution du max de sigma22
104 MPa maxsigma22
14
12
10
8
6
4
2
0
0
0.05
0.1
Ud
0.15
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0.8
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g(y n e _ d dfb e n wMd a d i nCi | ]l` pueUy m dw `8dhb g d b a d k e |
sol
0.404
0.317667
0.231333
0.145
Lambda
ƒ_„† | \`;€Œ b j ] s Cn i d _>`a d Z [email protected] p d & m d up e d b `xn eUp ]lkR|
Z!;Z
sol
0.404
0.32475
0.2455
0.16625
0.087
Lambda
ƒ?„†cL | \ < Œ b j ] s @n i d _`a d Z B ZVZ p d & m d pue d b `xn eUp ]lkR|
sol
0.404
0.354912
0.305825
0.256738
0.20765
0.158562
0.109475
0.0603875
0.0113
Lambda
ƒ?„†cL | \$Œ b j ] s [email protected] d _`a d Z B;lA p d & m d pue d b `xn eUp ]lkR|
sol
0.404
0.364006
0.324012
0.284018
0.244024
0.20403
0.164036
0.124042
0.084048
0.044054
0.00406
Lambda
ƒ?„†cL | \ Œ b j ] s @n i d _`a d Z B ; p d & m d up e d b `xn eUp ]lkR|
Z!;>\
sol
0.404
0.367495
0.33099
0.294484
0.257979
0.221473
0.184968
0.148462
0.111957
0.075451
0.0389455
0.00244
Lambda
ƒ?„†cL | \VŒ b j ] s @n i d _`a d Z B V< < p d & m d up e d b `xn eUp ]lkR|
sol
0.404
0.372991
0.341981
0.310972
0.279962
0.248953
0.217943
0.186934
0.155924
0.124915
0.0939055
0.062896
0.0318865
0.000877
Lambda
ƒ?„†cL | \ Œ b j ] s [email protected] d _`a d Z BoGZ p d & m d pue d b `xn eUp ]lkR|
sol
0.404
0.372991
0.341981
0.310972
0.279962
0.248953
0.217943
0.186934
0.155924
0.124915
0.0939055
0.062896
0.0318865
0.000877
Lambda
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14
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10
8
6
4
2
0
0
2
4
6
8
10
12
14
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