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7 Numerical Analysis of Macro-fiber Composite Structures
MFC
L MFC
d
Θ
2
L Beam
h MFC
Θ
1
Θ
1
h Beam
Θ
3
B
A
C
Host structure
W MFC
W Beam
Back line
Front line
Central line
Fig. 7.1 Schematic figure of the MFC bonded smart plate
Table 7.1 Material properties
MFC-d33
MFC-d31
T300/976
˜
Y 3 = 29.4 GPa
˜
Y 1 = 30.336 GPa
˜
Y 1 = 150 GPa
˜
Y 2 = ˜
Y 1 = 15.2 GPa
˜
Y 2 = ˜
Y 3 = 15.857 GPa
˜
Y 2 = ˜
Y 3 = 9 GPa
˜
G 32 = ˜
G 31 = 6.06 GPa
˜
G 12 = ˜
G 13 = 5.515 GPa
˜
G 12 = ˜
G 13 = 7.1 GPa
˜
G 21 = 5.79 GPa
˜
G 23 = 5.515 GPa
˜
G 23 = 2.5 GPa
˜
ν 32 = ˜
ν 31 = 0.312
˜
ν 12 = ˜
ν 13 = 0.31
˜
ν 12 = ˜
ν 13 = 0.3
˜
ν 21 = 0.312
˜
ν 23 = 0.438
˜
ν 23 = 0.3
˜
d 33 = 467 × 10 −12 m/V
˜
d 31 = −170 × 10 −12 m/V
˜
d 32 = −210 × 10 −12 m/V
˜
d 32 = −100 × 10 −12 m/V
h E = 0.5 mm
h E = 0.18 mm
Fig. 7.2 Central line
deflection of the MFC-d33
bonded plate for validation
test, reprinted from Ref. [4],
copyright 2015, with
permission from ELSEVIER
0
50
100
150
200
250
300
0
0.2
0.4
0.6
0.8
1
Distance from the clamped edge (mm)
Vertical displacements (mm)
Present
ANSYS (Bowen et al. 2011)
Experiments (Bowen et al. 2011)