68 7. CONTINUUM APPROACH TO CLOTH
Specifically, this means
@W
u
.x/
@x
0
D
2
6
6
6
6
6
6
6
6
4
v
1
v
2
D
0 0
0
v
1
v
2
D
0
0 0
v
1
v
2
D
3
7
7
7
7
7
7
7
7
5
D
v
1
v
2
D
I
@W
u
.x/
@x
1
D
2
6
6
6
6
6
6
6
6
4
v
2
D
0 0
0
v
2
D
0
0 0
v
2
D
3
7
7
7
7
7
7
7
7
5
D
v
2
D
I
@W
u
.x/
@x
2
D
2
6
6
6
6
6
6
6
6
4
v
1
D
0 0
0
v
1
D
0
0 0
v
1
D
3
7
7
7
7
7
7
7
7
5
D
v
1
D
I;
(7.23)
with I the 3 3 dimensional identity matrix. Doing the same derivation for the vector W
v
.x/,
we find
@C
v
.x/
@x
i
D
@a
.
jjW
v
.x/jj b
v
/
@x
i
D a
@W
v
.x/
@x
i
O
W
v
.x/
(7.24)
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