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

MS layer embedded in a symmetric laminate

If no other external force is applied, the average strain may be expressed as

(31.9)

Strain in MS layer and composite host are same. Putting the value of strain in Equation (31.1) and solving for stress ,

(31.10)

Putting

(31.11)

Magnetic induction B, in MS layer due to stress on it may be written using Equation (31.2)

(31.12)

The open circuit voltage in the sensing coil could be obtained as

(31.13)
   

Here, n is the number of turns of magnetizing coil per unit length, l the total length, ar area of the cross-section of the coil and is the frequency.