Abstract
An extension of Reissner’s geometrically exact theory for the plane deformation of beams allows a consistent constitutive modeling of various types of material behavior. In the present paper, such formulation is used to describe the coupled response of slender piezoelectric structures. Starting from the local equilibrium relations and the geometric description of the cross-sectional deformation, the constitutive equations in the structural mechanics framework are derived from quantities of the non-linear continuum theory in a step-by-step procedure.
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Acknowledgements
The authors gratefully acknowledge the support of the Comet K2 Austrian Center of Competence in Mechatronics (ACCM).
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Irschik, H., Humer, A., Gerstmayr, J. (2014). A Non-linear Theory for Piezoelectric Beams. In: Belyaev, A., Irschik, H., Krommer, M. (eds) Mechanics and Model-Based Control of Advanced Engineering Systems. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1571-8_21
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DOI: https://doi.org/10.1007/978-3-7091-1571-8_21
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