1999
DOI: 10.1109/58.775670
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Effective electroelastic moduli of 3-3(0-3) piezocomposites

Abstract: In a high volume fraction particle-loaded piezocomposite, some ferroelectric particles appear to be in contact, as in a 3-3 connectivity material; others are isolated in the polymer matrix, as in a pure 0-3 connectivity material. Such a material can be considered as a composite of composites characterized by a 3-3(0-3) connectivity. This paper follows two others that have described a matrix method to calculate all of the effective parameters of pure 0-3 and 3-3 connectivity piezocomposites. These previous mode… Show more

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Cited by 49 publications
(32 citation statements)
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“…The modelling used in this paper is based on a method developed in previous work, and adapted to porous piezoelectric materials [27][28][29]. Here, the method is based on the generalisation of series and parallel connections (corresponding to 2-2 connectivity) [30] and modified cubes model [31].…”
Section: Modellingmentioning
confidence: 99%
See 1 more Smart Citation
“…The modelling used in this paper is based on a method developed in previous work, and adapted to porous piezoelectric materials [27][28][29]. Here, the method is based on the generalisation of series and parallel connections (corresponding to 2-2 connectivity) [30] and modified cubes model [31].…”
Section: Modellingmentioning
confidence: 99%
“…For the calculation of effective properties, only the principle is recalled here, detailed description can be found in [29]. The basis of this matrix method is to define two vectors (G) and (H) which each contain nine components.…”
Section: Modellingmentioning
confidence: 99%
“…Figures 4 and 5 represent evolutions of the dielectric constant at constant strain and thickness coupling factor as a function of single crystal volume fraction (SC V f ) for three simulated connectivities (0-3, 3-0 and 3-3). Results show that small variations appear between the connectivities and so the arrangement between phase does not seem to be predominant for the effective properties, contrary to piezocomposites based on one piezoelectric phase and one inert phase (typically a polymer) [11]. These results show clearly that in all cases, a high volume fraction of single crystal and consequently a high degree of texturing is essential to significantly increase the performance (in particular the thickness coupling factor which represents the major parameter to deliver high transducer performance) of the textured piezoelectric ceramics.…”
Section: Modellingmentioning
confidence: 60%
“…3) are easily related to the volume fraction of single crystal in the material. The different steps for the calculation are detailed in [10,11]. A generalisation of the series and parallel analysis developed for 2-2 connectivity (stack of alternative layers of single crystal and ceramic) with a matrix resolution is used.…”
Section: Modellingmentioning
confidence: 99%
“…Studying " T 33 and " T 11 of the composite, a quantitative evaluation of the mean electrical circuit associated to this microstructure can be obtained, assuming that at the frequency of 1 kHz the relaxation effects are negligible [17][18][19][20][21][22][23][24][25][26][27][28][29]. The complexity of the microstructure is confirmed by the anisotropy of the dielectric constant of unpoled samples.…”
Section: Dielectric Permittivity At 1 Khzmentioning
confidence: 95%