Variational bounds of the effective moduli of piezoelectric composites

作     者：WAN YongPing XIE LongTao ZHONG Zheng 

作者机构：School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghai 200092China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2012年第55卷第11期

页      面：2106-2113页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 11072179 and 11090334) Shanghai Leading Academic Discipline Project (Grant No. B302) 

主　　题：variational bound piezoelectric composite effective modulus 

摘      要：The classical Hashin-Shtrikman variational principle was re-generalized to the heterogeneous piezoelectric *** auxiliary problem is very much simplified by selecting the reference medium as a linearly isotropic elastic *** 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 *** an application,a two-phase piezoelectric composite with nonpiezoelectric matrix is *** of upper and lower bounds for the overall electromechanical moduli of the composite can be *** bounds are shown better than the Voigt-Reuss type ones.