TY - JOUR
T1 - Piezoelectric properties of multiphase fibrous composites
T2 - Some theoretical results
AU - Chen, Tungyang
N1 - Funding Information:
The author is indebted to Professor J. R. Willis and a referee for valuable comments, and to Professor Y. Benvenistef or preprints of his papers. This work was supported by the National Science Council, Taiwan, under contract NSC83-0410-E006-041.
PY - 1993/11
Y1 - 1993/11
N2 - A number of exact results are established for overall moduli of a piezoelectric composite medium consisting of many perfectly-bonded transversely isotropic phases of cylindrical shape and arbitrary transverse geometry. It is shown that for three-phase media of this type three universal relationships, which are independent of geometry at given volume fractions, connect six of these effective physical constants. When the phases have equal transverse rigidities in shear, exact values of certain overall moduli can be derived for multiphase systems. The explicit formulae depend solely on the concentrations and phase moduli and are unaffected by the transverse geometry of the inclusions. Specifically, seven out of a total of 10 overall moduli of a transversely isotropic composite can be found. The remaining three constants p, e15 and k11 are shown to obey an exact relation, which also applies to other physical phenomena, such as magnetoelectric and thermoelectric effects. The result is a generalization of the relations found by Hill [J. Mech. Phys. Solids 12, 199 (1964)] for purely elastic media and by Mendelson [J. Appl. Phys. 46, 917 (1975)] for the purely dielectric problem.
AB - A number of exact results are established for overall moduli of a piezoelectric composite medium consisting of many perfectly-bonded transversely isotropic phases of cylindrical shape and arbitrary transverse geometry. It is shown that for three-phase media of this type three universal relationships, which are independent of geometry at given volume fractions, connect six of these effective physical constants. When the phases have equal transverse rigidities in shear, exact values of certain overall moduli can be derived for multiphase systems. The explicit formulae depend solely on the concentrations and phase moduli and are unaffected by the transverse geometry of the inclusions. Specifically, seven out of a total of 10 overall moduli of a transversely isotropic composite can be found. The remaining three constants p, e15 and k11 are shown to obey an exact relation, which also applies to other physical phenomena, such as magnetoelectric and thermoelectric effects. The result is a generalization of the relations found by Hill [J. Mech. Phys. Solids 12, 199 (1964)] for purely elastic media and by Mendelson [J. Appl. Phys. 46, 917 (1975)] for the purely dielectric problem.
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U2 - 10.1016/0022-5096(93)90031-A
DO - 10.1016/0022-5096(93)90031-A
M3 - Article
AN - SCOPUS:0027696255
SN - 0022-5096
VL - 41
SP - 1781
EP - 1794
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 11
ER -