7.2 Nonlinear Analysis of MFC Structures
149
0
100
200
300
0
20
40
0
20
40
60
80
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(a) MFC-d33 with fiber angle of 0
◦
0
100
200
300
0
20
40
0
20
40
60
80
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(b) MFC-d33 with fiber angle of 30
◦
0
100
200
300
0
20
40
0
20
40
60
80
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(c) MFC-d33 with fiber angle of 45
◦
0
100
200
300
0
20
40
−50
0
50
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(d) MFC-d33 with fiber angle of 60
◦
0
100
200
300
0
20
40
−50
0
50
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(e) MFC-d33 with fiber angle of 75
◦
0
100
200
300
0
20
40
−50
0
50
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(f) MFC-d33 with fiber angle of 90
◦
Fig. 7.14 Surface shapes of the composite plate with MFC-d33 patches having different fiber
angles, reprinted from Ref. [5], copyright 2016, with permission from ELSEVIER
149
0
100
200
300
0
20
40
0
20
40
60
80
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(a) MFC-d33 with fiber angle of 0
◦
0
100
200
300
0
20
40
0
20
40
60
80
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(b) MFC-d33 with fiber angle of 30
◦
0
100
200
300
0
20
40
0
20
40
60
80
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(c) MFC-d33 with fiber angle of 45
◦
0
100
200
300
0
20
40
−50
0
50
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(d) MFC-d33 with fiber angle of 60
◦
0
100
200
300
0
20
40
−50
0
50
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(e) MFC-d33 with fiber angle of 75
◦
0
100
200
300
0
20
40
−50
0
50
Θ
1 (mm)
Θ
2 (mm)
Θ
3
(mm)
−80 −60 −40 −20
0
20
40
60
80
Linear
LRT56
Θ
1 (mm)
Θ
2
(mm)
0
50
100
150
200
250
300
0
20
40
(f) MFC-d33 with fiber angle of 90
◦
Fig. 7.14 Surface shapes of the composite plate with MFC-d33 patches having different fiber
angles, reprinted from Ref. [5], copyright 2016, with permission from ELSEVIER
