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Advanced Finite Element Formulations for Modeling Thin Piezoelectric Structures by Sven Klinkel; Dieter Legner; Werner Wagner is a Engineering article available to read on EtoBox.

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## Abstract This contribution is concerned with mixed finite element formulations for modeling piezoelectric beam and shell structures. Due to the electromechanical coupling, specific deformation modes are joined with electric field components. In bending dominated problems incompatible approximation functions of these fields cause incorrect results. These effects occur in standard finite element formulations, where interpolation functions of lowest order are used. A mixed variational approach is introduced to overcome these problems. The mixed formulation allows for a consistent approximation of the electromechanical coupled problem. It utilizes six independent fields and could be derived from a Hu‐Washizu variational principle. Displacements, rotations and the electric potential are employed as nodal degrees of freedom. According to the Timoshenko theory (beam) and the Reissner‐Mindlin theory (shell), the formulations account for constant transversal shear strains. To incorporate three dimensional constitutive relations all transversal components of the electric field and the strain field are enriched by mixed finite element interpolations. Thus the complete piezoelectric couplin

Who reads Advanced Finite Element Formulations for Modeling Thin Piezoelectric Structures?

Author

Sven Klinkel; Dieter Legner; Werner Wagner

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); Wiley (ISSN 1617-7061)

Published

2011

Language

EN

Field

Engineering (Physical Sciences)