Abstract—

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.

中文翻译：

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有效模量法在孔隙边界处具有极端特性的多孔压电复合材料均质化

摘要-

该文章涉及确定具有极端特性并沉积在孔边界上的物质的多孔压电陶瓷材料的有效模量的问题。给出了有效模量法的论证。证明了互易关系，从中可以得到与压电材料的模量相似的有效模量的性质。注意，为了均质化具有刚性或电极孔边界的多孔压电复合材料，必须使用位于孔边界上的具有极大模量的材料的模型。使用数值计算，已揭示了对所研究的压电复合材料的实际应用有希望的各种有效压电模量的异常性质。