中国物理B ›› 2010, Vol. 19 ›› Issue (9): 96201-096201.doi: 10.1088/1674-1056/19/9/096201

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Elastic properties of spherically anisotropic piezoelectric composites

潘英明1, 魏恩泊2, 顾国庆3   

  1. (1)Department of Applied Physics and Materials Research Centre, The Hong Kong Polytechnic University, Hong Kong, China; (2)Institute of Oceanology and KLOCW, Chinese Academy of Sciences, Qingdao 266071, China; (3)School of Information Science and Technology, East China Normal University, Shanghai 200062, China
  • 收稿日期:2009-02-24 修回日期:2010-03-07 出版日期:2010-09-15 发布日期:2010-09-15
  • 基金资助:
    Project supported by the Centre for Smart Materials of the Hong Kong Polytechnic University and a RGC Grant PolyU5015/06P (internal code B-Q996) of the HKSAR, and the National Natural Science Foundation of China (Grant Nos. 10374026 and 40876094).

Elastic properties of spherically anisotropic piezoelectric composites

Wei En-Bo(魏恩泊)a)†, Gu Guo-Qing(顾国庆)b)‡, and Poon Ying-Ming(潘英明)c)*   

  1. a Institute of Oceanology and KLOCW, Chinese Academy of Sciences, Qingdao 266071, China; b School of Information Science and Technology, East China Normal University, Shanghai 200062, China; c Department of Applied Physics and Materials Research Centre, The Hong Kong Polytechnic University, Hong Kong, China
  • Received:2009-02-24 Revised:2010-03-07 Online:2010-09-15 Published:2010-09-15
  • Supported by:
    Project supported by the Centre for Smart Materials of the Hong Kong Polytechnic University and a RGC Grant PolyU5015/06P (internal code B-Q996) of the HKSAR, and the National Natural Science Foundation of China (Grant Nos. 10374026 and 40876094).

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摘要： 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 solutions 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.

Abstract: 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 solutions 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.

Key words: elasticity, piezoelectric composites, spherically anisotropy

中图分类号: 

  • 6220D