Analytical Homogenizations of Piezoceramic d15 Shear Macro-fibre Composites
Closed-form expressions of effective electromechanical constants are derived for the new d15 shearmacro-fibre composite (MFC) using two differentanalytical homogenizationapproaches: theuniform fields method(UFM), and theasymptotic homogenization method(AHM). The former is used with bothe-formandh-formpiezoelectric constitutive equations, while the latter is used with thee-formones only. Then, the usualunidirectional electric field(UDEF) andplane stress(PS) electromechanical assumptions are considered in order to derivesimplifiedsets of the homogenized electromechanical constants.Parametric analysesare conducted in term of the piezoelectricfibre volume fraction(FVF) in order to choose its optimum value for this new smart material. It is found that: (i) the effective electromechanical coefficients values from both methods are exactly identical; (ii) the simplifying UDEF and PS assumptions have no influence on the shear response homogenized electromechanical constants; (iii) on the basis of the effectiveelectromechanical coupling coefficient(EMCC) as adesign criterion, the optimum FVF lies in the range of 0.9–0.95, which is higher than that (0.86) of commercial MFC; (iv) the new d15shear MFC has aunidirectionalpiezoelectric shear coupling andhigheffective material shear EMCC; thesenice features allow the application of this new MFC for activetorsion/twistvibration and shape control,shearstrains actuation/sensing andshearwaves-based health monitoring.
KeywordsElectric Displacement Constant Electric Field Shear Response Analytical Homogenization Composite Core
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