ABSTRACT

This is the virtual work principle that can be utilized to derive the finite element equations. In order to formulate electroelastic matrix relations for a finite element, continuous displacements and

electric potential are expressed by using interpolation functions. We have {U} = [Nu ]{Ui}

(14)

where N y and symbolic form as

are interpolation functions. The finite element equation can be represented in the

(15)

where Fd and Qd are applied forces and charges, Fs and Qs are the equivalent forces and charges associated with the spontaneous strain and polarization, the stiffness matrices can be determined as described by Allik and Hughes (1970).