A Hybrid-Stabilized Solid Element for Piezoelectric Laminated Plate Analysis
In this paper, an eight-node solid hybrid-stabilized element for general piezoelectric laminate plate analysis is formulated based on the electromechanical Hellinger-Reissner functional. The independent field variables in the functional include the displacement, electric potential, stress and electric displacement. The non-constant electromechanical stress modes are contravariant in nature and chosen to be orthogonal with respect to the constant ones. The othogonality and the practice put forward in the admissible matrix formulation allow the electromechanical flexibility matrices to be block diagonal. As a result, the computational cost for inverting the electromechanical flexibility matrices can be greatly reduced. Numerical examples indicate that the proposed hybrid piezoelectric element is more accurate than their conventional counterpart.
X. M. Yang "A Hybrid-Stabilized Solid Element for Piezoelectric Laminated Plate Analysis", Advanced Materials Research, Vols. 311-313, pp. 248-255, 2011