Abstract
A two-dimensional generalized plane strain micromechanical model is developed to study the electro-elastic behavior of piezoelectric fiber-reinforced composite (PFRC) systems. The composite system consists of long parallel piezoelectric fibers with orthotropic and/or transversely isotropic properties and perfectly bounded to the isotropic matrix in a square array arrangement. In addition, the constituents are assumed to have both linear elastic and electrical behavior, whereas the matrix is piezoelectrically passive. The element-free Galerkin (EFG) method is employed to obtain the solution for the governing system of partial differential equations. The performance of the model is examined for both axial and transverse polarizations and various fiber cross sections. Comparison of the presented results with other techniques available in the literature reveals good agreement. It is demonstrated that the piezoelectric coefficient e 31 in the transverse polarization is considerably improved in comparison with the corresponding coefficient for pure piezoelectric material. Furthermore, results also show that elliptical fibers may enhance the electrical sensitivity of PFRCs for a specific direction, which is related to the elliptical fiber orientation, in both polarization directions.
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Eynbeygi, M., Aghdam, M.M. A micromechanical study on the electro-elastic behavior of piezoelectric fiber-reinforced composites using the element-free Galerkin method. Acta Mech 226, 3177–3194 (2015). https://doi.org/10.1007/s00707-015-1371-x
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DOI: https://doi.org/10.1007/s00707-015-1371-x