Effective moduli simulation for various types of porous piezoceramic materials

A complete set of material constants for porous piezoceramic materials with allowance on the inhomogeneous polarization in the pores vicinity is determined by the simulation techniques for the representative volumes, effective moduli, and finite elements. For the numerical determination of the effective moduli, sets of the piezoelectric static problems for representative volumes with boundary conditions providing constant values of the stress, strain, electric fields, and the electric displacement of a homogeneous body are solved in the ANSYS FE package. The calculations are performed using the specially developed computer programs in APDL ANSYS macro language. The effect of the cells number and various models of the representative volumes on the crucial values of the effective modules for a number of types of porous piezoelectric ceramics is investigated. The results correlation of the computational and full-scale experiments is discussed. It is shown that the dependence of the effective moduli on porosity weakly depends on the type of porous piezoelectric materials.