Electromechanical response of (3-0,3-1) particulate, fibrous, and porous piezoelectric composites with anisotropic constituents: A model based on the homogenization method

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Iyer, Sumantu¹  Venkatesh, T. A.² 

[1] SUNY Stony Brook, Dept Mech Engn, Stony Brook, NY 11794 USA

[2] SUNY Stony Brook, Dept Mat Sci & Engn, Stony Brook, NY 11794 USA

关键词: Piezoelectrics;    Composite materials;    Dielectrics;    Constitutive equations;    Modeling;   

DOI  :  10.1016/j.ijsolstr.2013.12.008

来源: Elsevier

【 摘 要 】

An analytical framework based on the homogenization method has been developed to predict the effective electromechanical properties of periodic, particulate and porous, piezoelectric composites with anisotropic constituents. Expressions are provided for the effective moduli tensors of n-phase composites based on the respective strain and electric field concentration tensors. By taking into account the shape and distribution of the inclusion and by invoking a simple numerical procedure, solutions for the electromechanical properties of a general anisotropic inclusion in an anisotropic matrix are obtained. While analytical forms are provided for predicting the electroelastic moduli of composites with spherical and cylindrical inclusions, numerical evaluation of integrals over the composite microstructure is required in order to obtain the corresponding expressions for a general ellipsoidal particle in a piezoelectric matrix. The electroelastic moduli of piezoelectric composites predicted by the analytical model developed in the present study demonstrate excellent agreement with results obtained from three-dimensional finite-element models for several piezoelectric systems that exhibit varying degrees of elastic anisotropy. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

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