Elastic properties of spherically anisotropic piezoelectric composites

• Published in: Chinese physics B Vol. 19; no. 9; pp. 454 - 463
• Main Author: 魏恩泊 顾国庆 潘英明
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.09.2010
• Subjects: Anisotropy; Dielectric constant; Elastic constants; Electric potential; Inclusions; Mathematical analysis; Permittivity; Piezoelectricity; 压电复合材料; 压电效应; 反应机制; 各向异性; 外部压力; 平均场理论; 弹性位移; 弹性性能
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/19/9/096201

Effective elastic properties of spherically anisotropic piezoelectric composites, whose spherically anisotropic piezoelectric inclusions are embedded in an infinite non-piezoelectric matrix, are theoretically investigated. Analytical solu- tions for the elastic displacements and the electric potentials under a uniform external strain are derived exactly. Taking into account of the coupling effects of elasticity, permittivity and piezoelectricity, the formula is derived for estimating the effective elastic properties based on the average field theory in the dilute limit. An elastic response mechanism is revealed, in which the effective elastic properties increase as inclusion piezoelectric properties increase and inclusion dielectric properties decrease. Moreover, a piezoelectric response mechanism, of which the effective piezoelectric response vanishes due to the symmetry of spherically anisotropic composite, is also disclosed.