Semi-analytical solutions for static analysis of piezoelectric laminates

Displacement and stress analysis of an all-round simply supported piezoelectric laminate has been carried out with a new model. Formulation part has been developed using elasticity approach and the methodology is free from any a-priory assumption in thickness direction. The mathematical model is a set of mixed first ordered ordinary differential equations (ODEs). Solution is obtained using numerical integration in through-thickness direction. Accuracy of the proposed model is assessed by comparing numerical results for single layer piezoelectric plate as well as for multi-layered laminates with exact solutions available in literature and are found to be in good agreement with the same. Additional investigation has been performed to establish a few future references.