Thermoelectric elastic analysis of bi-directional three-layer functionally graded porous piezoelectric (FGPP) plate resting on elastic foundation

This paper describes the bending and deflection analysis of the three-layered functionally graded porous piezoelectric plates resting on the elastic foundation subjected to thermal and electrical loading with boundary constraints. The porous plate's thermomechanical properties vary modified power law in bi-directional, i.e. axially and transversely. The plate formulation is deduced using the modified first-order shear deformation theory with Hamilton's principle and solved through nine nodes higher nodes finite element methods with modified iterative methods. Comparison and convergence of the present model are validated with the existing literature. The effects of the parameters such as thickness ratio, porous exponents, bidirectional volume fraction exponents, thermal loading, voltage, elastic foundations and boundary conditions on the static response have been discussed in detail. The results are more useful for designing the porous smart structures application and show a higher capability in bidirectional behavior than unidirectional behaviors.