Module 4: Active SHM using Magnetostrictive Material
  Lecture 31: Constitutive relations for composite laminate
 

MS layer embedded in a symmetric laminate

When the beam is symmetric and magnetostrictive layer is placed in the middle and no other forces are acting, only axial forces are assumed to be acting on the beam.

Considering static equilibrium [Figure 31.2 (a)],

Figure 31.2 (a) Force balance in symmetric laminate

The net force per unit length in MS layer (compressive in nature)

(31.7)

is the stress in the magnetostrictive layer and is the thickness of the layer. From Equation (31.4), since the coupling matrix B is zero for the symmetric laminate, the forces in upper and lower segments of the composite laminate are


(31.8)