摘要
The classical Hashin-Shtrikman variational principle was re-generalized to the heterogeneous piezoelectric materials.The auxiliary problem is very much simplified by selecting the reference medium as a linearly isotropic elastic medium.The electromechanical fields in the inhomogeneous piezoelectrics are simulated by introducing into the homogeneous reference medium certain eigenstresses and eigen electric fields.A closed-form solution can be obtained for the disturbance fields,which is convenient for the manipulation of the energy functional.As an application,a two-phase piezoelectric composite with nonpiezoelectric matrix is considered.Expressions of upper and lower bounds for the overall electromechanical moduli of the composite can be developed.These bounds are shown better than the Voigt-Reuss type ones.
The classical Hashin-Shtrikman variational principle was re-generalized to the heterogeneous piezoelectric materials. The auxiliary problem is very much simplified by selecting the reference medium as a linearly isotropic elastic medium. The electromechanical fields in the inhomogeneous piezoelectrics are simulated by introducing into the homogeneous reference medium certain eigenstresses and eigen electric fields. A closed-form solution can be obtained for the disturbance fields, which is convenient for the manipulation of the energy functional. As an application, a two-phase piezoelectric composite with nonpiezoelectric matrix is considered. Expressions of upper and lower bounds for the overall electromechanical moduli of the composite can be developed. These bounds are shown better than the Voigt-Reuss type ones.
基金
supported by the National Natural Science Foundation of China (Grant Nos. 11072179 and 11090334)
Shanghai Leading Academic Discipline Project (Grant No. B302)
