Homogenization of Porous Piezocomposites with Extreme Properties at Pore Boundaries by Effective Moduli Method

The article deals with problems on determining the effective moduli of porous piezoceramic materials with substances that have extreme properties and are deposited on the pore boundaries. The argumentation for the method of effective moduli is given. The reciprocity relation, from which the properties of effective moduli that are similar to known ones for moduli of piezoelectric materials can be obtained, is proved. It is noted that for homogenization of porous piezoelectric composites with rigid or electrode pore boundaries, it is necessary to use models for materials having extremely large moduli that are located on the pore boundaries. Using numerical calculations, anomalous properties of various effective piezoelectric moduli that are promising for practical applications of the investigated piezocomposites have been revealed.