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Mathematical Problems in Engineering
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Special Issues
Mathematical Problems in Engineering
/
2011
/
Article
/
Tab 3
/
Research Article
Finite Element Analysis with Iterated Multiscale Analysis for Mechanical Parameters of Composite Materials with Multiscale Random Grains
Table 3
Equivalent mechanical parameters
{
̂
𝑎
𝑖
𝑗
(
𝜔
𝑠
)
}
for different mesh sizes
ℎ
0
.
ℎ
0
.
𝑎
1
1
𝑎
1
2
𝑎
2
1
𝑎
2
2
𝑎
3
3
0.04
1
.
0
8
3
×
1
0
6
8
.
3
2
3
×
1
0
5
8
.
3
2
3
×
1
0
5
1
.
0
9
2
×
1
0
6
1
.
3
2
7
×
1
0
5
0.02
1
.
0
9
5
×
1
0
6
8
.
3
0
2
×
1
0
5
8
.
3
0
2
×
1
0
5
1
.
0
9
9
×
1
0
6
1
.
2
9
5
×
1
0
5
0.01
1
.
0
9
7
×
1
0
6
8
.
3
7
7
×
1
0
5
8
.
3
7
3
×
1
0
5
1
.
1
0
8
×
1
0
6
1
.
3
1
9
×
1
0
5
0.005
1
.
0
9
8
×
1
0
6
8
.
3
7
5
×
1
0
5
8
.
3
7
1
×
1
0
5
1
.
1
1
2
×
1
0
6
1
.
3
1
1
×
1
0
5