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摘要
The present paper addresses an analytical method to determine the electroelastic fields over a double-phase piezoelectric reinforcement interacting with an ellipsoidal single-inhomogeneity. The approach is based on the extension of the electro-mechanical equivalent inclusion method (EMEIM) to the piezoelectric double-inhomogeneity system. Accordingly, the double-inhomogeneity is replaced by an electroelastic double-inclusion problem with proper polynomial eigenstrains-electric fields. The long-and short-range interaction effects are intrinsically incorporated by the homogenizing eigenfields. The equivalent double-inclusion is subsequently decomposed to the single-inclusion problems by means of a superposition scheme. The methodology is further extended to the piezoelectric multi-inhomogeneity, where the particle core is surrounded by many layers of coatings of ellipsoidal shapes. Through consideration of various examples, including (1) 2D and 3D interaction problems of a coated piezoelectric reinforcement near a lamellar inhomogeneity and (2) a two-phase spherical particle with thick coating of variable thickness, the validity and robustness of the present theory are thoroughly demonstrated.
- 出版日期2011-8
