A theoretical study of the coupling effects in piezoelectric ceramics

The objective of this study is to delineate electro!mechanical coupling in piezoceramic materials[ The model system investigated is a two!dimensional linear piezoceramic strip polarized in the thickness directionand it is subjected to local symmetric pressures on the upper and lower edges\ traction!free boundary conditions on both end surfaces\ and voltages on portions of the upper and lower edges[ Under a simplifying assumption of the gradient of the electric potential\ closed form solutions of the elastic _eld have been obtained[ It is noticed that instead of the nine constants "including the elastic compliance constants\ sij\ the piezoelectric constants\ dij\ and the dielectric permittivity constants\ oij#\ the elastic and piezoelectric charac! teristics of the material can be represented by three parameters\ b0\ b1 and b2[ b0 consists of elastic compliance constants only[ b1 and b2 signify the piezoelectric e}ect[ Furthermore\ higher values of b1 imply a more pronounced piezoelectric e}ect on the elastic _eld[ The identi_cation of these parameters greatly facilitates the study of coupling e}ects in piezoelectric ceramics[ 0887 Elsevier Science Ltd[ All rights reserved