Computational Mechanics of Composite Materials part 6 pdf
Computational Mechanics of Composite Materials part 6 pdf
...
)(eff
JJJJ
C
)(eff
JKKJ
C
)(eff
JKJK
C
)(eff
JJJJ
C
)(eff
JKKJ
C
)(eff
JKJK
C
sup-VR
189. 56 81.83 53. 86 189.94 82.30 53.82
Sup
178.44 76. 07 51.18 178.57 76. 37 51.10
Inf
1 56. 99 62 .70 47.14 1 56. 68 62 .61 47.03
Inf-VR
137.93 51. 86 43.03 137.54 51.71 42.92 ... Computational Mechanics of Composite Materials
methods for smaller random dispersion of input variables...
Computational Mechanics of Composite Materials Part 1 ppsx
... then
M.M. Kamin
´
ski
Computational
Mechanics of
Composite Materials
Sensitivity, Randomness
and Multiscale Behaviour
viii Computational Mechanics of Composite Materials
and mechanics, numerical ... processing
I. Title
62 0′.001518
ISBN 1852334274
Library of Congress Cataloging-in-Publication Data
Kamin
´
ski, M. M. (Marcin M.), 1 969 –
Computational mechanics of...
Computational Mechanics of Composite Materials part 2 ppsx
... analogous nth order partial
derivatives of external excitation, accelerations, velocities as well as displacements
of the system.
32 Computational Mechanics of Composite Materials
composite Y. In ... expected
value of probabilistically averaged )(
)(
ω
pav
Y on Ω can be derived as
18 Computational Mechanics of Composite Materials
Using the proposed estimators...
Computational Mechanics of Composite Materials part 3 ppsx
... will essentially extend our
knowledge of composites behaviour in relation to the existing models
[251,384,3 86] .
68 Computational Mechanics of Composite Materials
0.019
0.021
0.023
0.025
0.027
0.029
0.031
0.033
0.035
0 ...
parameters of the composite constituents are taken in examples 1 to 3 as
58 Computational Mechanics of Composite Materials
0.08
0.082
0.08...
Computational Mechanics of Composite Materials part 5 ppt
... sup(C) inf(C) Sup(C) inf(C)
Deterministic values 163 .49 1 46. 47 75. 56 63.27 43.97 41 .60
E[C] 163 .60 1 46. 18 75.81 63 . 16 43.89 41.51
α(C)
6. 89e-2 5.76e-2 9.78e-2 8.14e-2 4.42e-2 3.95e-2
β(C)
1.79e-7 ... 43. 86 16. 64 34 .63 27.58
E[C] 113.50 71 .65 44.34 16. 61 34.58 27.52
α(C)
1.03e-2 2.48e-2 1.71e-1 2.57e-2 5.94e-2 2.46e-2
β(C)
3.23e-7 -4.13e-7 5.15e-7 -4.02e-7 -2.30e-8 -...
Computational Mechanics of Composite Materials part 7 ppsx
...
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
=
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
+−−
−+−
−−+
=
57 .65 87000
083.157 767 . 260 17. 260 1
07. 260 183.157 767 . 260 1
07. 260 17. 260 183.157 76
000
0
0
0
µ
µµµ
µµµ
µµµ
kkk
kkk
kkk
C
el
while the inelastic part of the effective constitutive ...
-1
:
εσ=
inel
C
=→
inel
C
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
60 0.499000
02.50174.15 464 . 163 1
012.15 763 6. 265 344.749
00.208092.15058...
Computational Mechanics of Composite Materials part 8 pps
... based
218 Computational Mechanics of Composite Materials
the next Young modulus of the fibre are detected as the most decisive design
material parameters of this composite in the view of its homogenised ... Sensitivity of
)eff(
C
1133
wrt
2
ν
Figure 4.30. Sensitivity of
)eff(
C
1122
wrt e
1
Figure 4.31. Sensitivity of
)eff(
C
1122
wrt
1
ν
214 Computational Me...
Computational Mechanics of Composite Materials part 9 ppt
... lengths (Θ
a
=6 , 10° and 14°). The uniform
distribution of normal stresses σ
R
, especially for longer cracks (Θ
a
>9°), which is
-7,2E+ 06
-6, 0E+ 06
-4,8E+ 06
-3,6E+ 06
-2,4E+ 06
-1,2E+ 06
0,0E+00
0,000 ... µ=0.5)
0.0E+00
2.0E-07
4.0E-07
6. 0E-07
8.0E-07
1.0E- 06
0.0 0.3 0 .6 0.7
Crack o
p
enin
g
[
mm
]
6
10°
14°
Θ/Θ
T
Θ
a
234 Computational Mechanics of Composi...
Computational Mechanics of Composite Materials part 10 pps
... should be carried out.
Figure 5 .66 . Tsai
Hill deterministic failure surface
Figure 5 .67 . Tsai
Hill ‘envelope’ failure surface
2 56 Computational Mechanics of Composite Materials
The boundary differential ... of the composite X=5.0 GPa, Y =6. 0 GPa, S=4.0 GPa for Tsai
Hill criterion and X
t
=5.0 GPa, X
c
=5.5 GPa, Y
t
=6. 0 GPa, Y
c
=6. 6 GPa, S=4.0 GPa in
the case o...
Computational Mechanics of Composite Materials part 11 pptx
... the basis
of the results presented in Figs. 6. 6 6. 7, 6. 10 6. 11 and 6. 14 6. 15 as
));((3]);([));(( xxfsigxxfExxfEnv −=
(6. 36)
Let us note that (6. 36) is frequently used in the Stochastic Finite ... between
Figures 6. 5 6. 8, 6. 9 6. 12 and 6. 13 6. 16, where probabilistic envelopes of these
stresses are shown. These envelopes are determined for a particular x on the...
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