Finite Element Modeling and Analysis of the Effective Properties of Inhomogeneously Polarized Porous Piezoceramic Material with Partial Metallization of Pore Surfaces

摘要

The paper considers computational homogenization problems for porous piezoceramic materials with partially metallized pore surfaces. The investigation is based on a complex approach including the effective moduli method, modeling of representative volumes with closed random porosity and metalized pore surfaces, finite element solution of a set of static piezoelectric problems with special boundary conditions and postprocessing of the computation results. Static problems of the piezoelectricity theory for an inhomogeneous representative volume are solved numerically with the help of the ANSYS finite element package. It is assumed that the thickness of the metal layer at the boundaries of the pores is infinitesimally small; therefore, the pore metallization is taken into account only by the electric boundary conditions of equipotentiality on the pore boundaries. Following the previous research, here we simulate the nonuniform polarization field around the pores. The porosity dependences of the effective moduli are analyzed for homogeneous and inhomogeneous polarization fields. The computation results have shown that microporous piezoceramics with metalized pore surfaces has a range of extreme properties promising for practical use.