Some hybrid variational methods for linear electroelasticity problems

Two methods for linear electroelastic analysis are presented, both supporte d by a variational formulation of hybrid type for stresses. In the first fo rmulation, the field variables are stress and density of electric flux, and mechanical and electrical equilibria are satisfied a priori in the field. In the second formulation, the field variables are stress and electric pote ntial, and mechanical equilibrium and electrical compatibility are satisfie d a priori in the field. In both cases, the remaining field and boundary co nditions are met weakly. Two finite element models are developed and their performance is examined and compared with the one of the compatible finite element approach in some test cases reported in the literature. (C) 2001 El sevier Science Ltd. All rights reserved.