Three-dimensional pyroelectric analysis of a multilayered piezoelectric hollow sphere with imperfect bonding

A three-dimensional pyroelectric analysis is performed for a multilayered piezoelectric hollow sphere with interfacial bonding imperfections using the state-space method. The imperfect interface may not only be mechanically compliant but also be weakly or highly conducting in thermal and electrical fields. A generalized spring-layer model is adopted to describe the imperfect interface for mechanical deformation, while two kinds of models (i.e. lowly conduction and highly conduction) are exploited for the thermal and electric fields. Upon establishing the state-space formulism for each layer, a special but direct treatment of the interfacial conditions is made by introducing the so-called interfacial transfer matrix to facilitate the global analysis. Numerical examples are presented to investigate the effect of bonding conditions on the thermo-electro-mechanical behavior of a multi-layered sphere.