MAGNETO-ELECTRO-ELASTIC ESHELBY TENSORS FOR A PIEZOELECTRIC-PIEZOMAGNETIC COMPOSITE REINFORCED BY ELLIPSOIDAL INCLUSIONS

The magneto-electro-elastic Eshelby tensors that represent the stress, electric displacement, and magnetic induction in an inclusion resulti ng from the constraint of the surrounding matrix of piezomagnetic-piez oelectric composites are presented. The tensors provide the basis for analysis of the magneto-electro-elastic response of the composites and have numerous applications such as to the study of defects, overall p roperties of multiphase composites, and fracture mechanics, etc. For a three-dimensional transversely isotropic piezoelectric/piezomagnetic composite containing spheriodal inclusions, the number of nonzero Eshe lby tensors is 41 while among them only 17 are independent. These inde pendent tensors can be divided into three categories. The first catego ry consists of those tensors related to the elastic response, the seco nd involves those related to the piezomagnetic response, while the thi rd includes elastic and magnetic interactive terms. Moreover, the magn eto-electro-elastic Eshelby tensors are obtained in the closed forms w hen both constituents of the composite are transversely isotropic and shapes of the inclusion are elliptic, rod shaped, penny shaped, and ri bbon like. (C) 1998 American Institute of Physics.