THE EFFECTIVE PROPERTIES OF PIEZOCOMPOSITES, PART Ⅱ: THE EFFECTIVE ELECTROELASTIC MODULI

Since piezoelectric ceramic/polymer composites have been widelyused as smart materials and smart structures, it is more and more important toobtain the closed-from solutions of the effective properties of piezocomposites withpiezoelectric ellipsoidal inclusions. Based on the closed-from solutions of the electroe-lastic Eshelby’s tensors obtained in the part I of this paper and the generalized Bu-diansky’s energy-equivalence framework, the closed-form general relations of effectiveelectroelastic moduli of the piezocomposites with piezoelectric ellipsoidal inclusionsare given. The relations can be applicable for several micromechanics models, such asthe dilute solution and the Mori-Tanaka’s method. The difference among the variousmodels is shown to be the way in which the average strain and the average electricfield of the inclusion phase are evaluated. Comparison between predicted and exper-imental results shows that the theoretical values in this paper agree quite well withthe experimental results. These expressions can be readily utilized in analysis anddesign of piezocomposites.