The modified cubes model

Composite piezoelectric materials may be represented by the so-called simple series, simple parallel and the modified cubes diphasic models (Fig. 6.4). The modified cubes model was developed as a generalization of the series, parallel and cubes models. It is adapted for the representation of 0-3 composite sheet materials. Estimated values of the average longitudinal piezoelectric strain coefficient 33 and the average piezoelectric voltage coefficient 33 for the composite may be evaluated in terms of these models. References to the piezoelectric ceramic and the polymer phase will be indicated by superscripts 1 and 2 respectively. 

The modified cubes model reduces to the parallel, series and cubes models for the conditions n = 0, m = 0 and m = n = l respectively, assuming that the composite under consideration has constituent phases with property coefficients of relative magnitudes 33 > 33, < d i,... 

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