Theoretical study on dynamic effective electroelastic properties of random piezoelectric composites with aligned inhomogeneities

doi:10.1007/s10483-023-2979-8

摘要/Abstract

摘要： The closed-form solutions of the dynamic problem of heterogeneous piezoelectric materials are formulated by introducing polarizations into a reference medium and using the generalized reciprocity theorem. These solutions can be reduced to the ones of an elastodynamic problem. Based on the effective medium method, these closed-form solutions can be used to establish the self-consistent equations about the frequency-dependent effective parameters, which can be numerically solved by iteration. Theoretical predictions are compared with the experimental results, and good agreement can be found. Furthermore, the analyses on the effects of microstructure and wavelength on the effective properties, resonance frequencies, and attenuation are also presented, which may provide some guidance for the microstructure design and analysis of piezoelectric composites.

关键词: piezoelectric composite, dynamic effective property, self-consistent method, resonance frequency, wavelength

Abstract: The closed-form solutions of the dynamic problem of heterogeneous piezoelectric materials are formulated by introducing polarizations into a reference medium and using the generalized reciprocity theorem. These solutions can be reduced to the ones of an elastodynamic problem. Based on the effective medium method, these closed-form solutions can be used to establish the self-consistent equations about the frequency-dependent effective parameters, which can be numerically solved by iteration. Theoretical predictions are compared with the experimental results, and good agreement can be found. Furthermore, the analyses on the effects of microstructure and wavelength on the effective properties, resonance frequencies, and attenuation are also presented, which may provide some guidance for the microstructure design and analysis of piezoelectric composites.

Key words: piezoelectric composite, dynamic effective property, self-consistent method, resonance frequency, wavelength

中图分类号:

Yanpeng YUE, Yongping WAN. Theoretical study on dynamic effective electroelastic properties of random piezoelectric composites with aligned inhomogeneities[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 525-546.

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