Effective properties of three-phase electro-magneto-elastic multifunctional composite materials

Coupling between the electric field, magnetic field, and strain of composite materials is achieved when electro-elastic (piezoelectric) and magneto-elastic (piezomagnetic) particles are joined by an elastic matrix. Although the matrix is neither piezoelectric nor piezomagnetic, the strain field in the matrix couples the E field of the piezoelectric phase to the B field of the piezomagnetic phase. This three-phase electro-magneto-elastic composite should have greater ductility and formability than a two-phase composite in which E and B are coupled by directly bonding two ceramic materials with no compliant matrix. A finite element analysis and homogenization of a representative volume element is used to determine the effective electric, magnetic, mechanical, and coupled-field properties of an elastic (epoxy) matrix reinforced with piezoelectric and piezomagnetic fibers. The effective magnetoelectric moduli of this three-phase composite are, however, less than the effective magnetoelectric coefficients of a two-phase piezoelectric/piezomagnetic composite, because the epoxy matrix is not stiff enough to transfer significant strains between the piezomagnetic and piezoelectric fibers.

[1]  Jin H. Huang,et al.  The optimized fiber volume fraction for magnetoelectric coupling effect in piezoelectric–piezomagnetic continuous fiber reinforced composites , 2000 .

[2]  F. Rizzo,et al.  Boundary element analysis for composite materials and a library of Green's functions , 1998 .

[3]  Martin L. Dunn,et al.  Micromechanics of Magnetoelectroelastic Composite Materials: Average Fields and Effective Behavior , 1998 .

[4]  W. Kuo,et al.  The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusions , 1997 .

[5]  Jiangyu Li,et al.  Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials , 2000 .

[6]  John D. Whitcomb,et al.  Derivation of Boundary Conditions for Micromechanics Analyses of Plain and Satin Weave Composites , 2000 .

[7]  Benveniste.  Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases. , 1995, Physical review. B, Condensed matter.

[8]  Sia Nemat-Nasser,et al.  On two micromechanics theories for determining micro–macro relations in heterogeneous solids , 1999 .

[9]  M. Dunn,et al.  Anisotropic coupled-field inclusion and inhomogeneity problems , 1998 .

[10]  Jacob Aboudi,et al.  Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites , 2001 .

[11]  Tsung-Lin Wu,et al.  Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases , 2000 .

[12]  C. Nan,et al.  Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. , 1994, Physical review. B, Condensed matter.

[13]  Y. Benveniste.  Exact results in the micromechanics of fibrous piezoelectric composites exhibiting pyroelectricity , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[14]  D. Terrell,et al.  An in situ grown eutectic magnetoelectric composite material , 1974 .