Elastic properties of spherically anisotropic piezoelectric composites |
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Authors: | Wei En-Bo Gu Guo-Qing and Poon Ying-Ming |
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Institution: | Institute of Oceanology and KLOCW, Chinese Academy of Sciences, Qingdao 266071, China; School of Information Science and Technology, East China Normal University, Shanghai 200062, China; Department of Applied Physics and Materials Research Centre, The Hong Kong Polytechnic University, Hong Kong, China |
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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. |
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Keywords: | elasticity piezoelectric composites spherically anisotropy |
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