Analytical Solution for Stress Transfer in Piezoelectric Actuator Bonded to Plate Considering Shear-Lag and Peel Stress

In this article, a one-dimensional (1-D) static model is presented for the shear stress and peel stress induced by a piezoelectric actuator patch on the host plate. It is an extension of the 1-D shear-lag model presented by Crawley and Luis in 1987 to incorporate the peel stress. The piezoelectric actuator is attached to one surface of the host structure through an adhesive layer. Both the host structure and actuator are assumed to follow an Euler–Bernoulli-type linear variation of the axial displacement across the thickness. A closed-form solution is obtained for the interfacial shear and normal stresses by considering plane strain conditions. Unlike the solution available in the literature, the current study presents results for the actual material properties for the actuator and the plate.