Considering zero axial stress at the ends of the active layer and applying it as boundary condition, Eqn. (38.4) could be solved to obtain the axial displacement of the viscoelastic layer.

Figure 38.2: Axial displacement w.r.t. normalized distance

Figure 38.2 shows the non-dimensional axial displacement of the viscoelastic layer with respect to the normalized distance 2y/l_a for a constraining piezoelectric layer having free-strain Λ as 0.001 and maximum strain-in the base beam as 0.1 times Λ. Different G to E_c ratios are considered for the study. As expected the axial displacement increases significantly with softer viscoelastic layer. In addition, at higher G/E_c ratio, the relationship becomes highly non-linear in nature.