Module 4: Active SHM using Magnetostrictive Material
  Lecture 32: Laminated beam subjected to mechanical input
 
Numerical analysis for MS composites

Using the basis presented in the previous section, voltage output in magnetostrictive sensory layer has been numerically determined using symmetric as well as asymmetric laminates.

The effect of mechanical input along with magnetostriction is also presented taking both symmetric and asymmetric laminate configurations. Numerical inputs used in the analysis are presented in Table 32.1

Table.32.1. Numerical details used in the analysis

Composite

carbon - epoxy

Symmetric laminate stacking
[0/90/0/45/m/45/0/90/0]
Asymmetric laminate stacking
[0/90/0/45/0/90/m/90/0]
[45/-45/0/0/90/90/0/0/-45/m/45]
Thickness of the composite lamina
0.4 mm
Thickness of the MS layer
0.4 mm
Elastic modulus of the carbon fiber
350 GPa
Elastic modulus of the epoxy matrix
3.50 GPa
Elastic modulus of Terfenol-D
30 GPa
Volume fraction of the fiber
0.16
Volume fraction of Terfenol-D
0.0224
Poisson's ratio of the carbon fiber
0.3
Poisson's ratio of the epoxy matrix
0.4
Poisson's ratio for Terfenol-D
0.25
Number of turns in the coil per meter
1000
Carrier frequency,ω
1000 Hz
Carrier current
0.4 A
Piezo-magnetic coefficient, d
1.5 e−8 m/A
Permeability, µ
14.13e −7
Coupling coefficient of Terfenol-D, k
0.75
Tensile strength of Terfenol-D
28 MPa
Compressive strength of Terfenol-D
700 MPa
Fracture toughness of MS layer
30 MPa-m1/2
Size of crack at delamination, c
2 mm
Length of beam, l
100 mm
Width of beam, b
20 mm