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Smart Structures and Systems Volume 12, Number 5, November 2013 , pages 579-594 DOI: https://doi.org/10.12989/sss.2013.12.5.579 |
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Enthalpy – based homogenization procedure for composite piezoelectric modules with integrated electrodes |
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Burkhard Kranz, Ayech Benjeddou and Welf-Guntram Drossel
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| Abstract | ||
| new enthalpy – based procedure for the homogenization of the electromechanical material parameters of composite piezoelectric modules with integrated electrodes is presented. It is based on a finite element (FE) modeling of the latter\'s representative volume element (RVE). In contrast to most previously published homogenization approaches that are based on averaged quantities, the presented method uses a direct evaluation of the electromechanical enthalpy. Hence, for the linear orthotropic piezoelectric composite behavior full set of elastic, piezoelectric, and dielectric material parameters, 17 load cases (LC) are used where each load case leads directly to one material parameter. This gives the possibility to elaborate a very strict and easy to program processing. In conjunction with the 17 LC, the enthalpy – based homogenization is particularly suitable for laminated composite piezoelectric modules with integrated electrodes. In this case, the electric load has to be given at the electrodes rather than at the RVE FE model boundaries. The proposed procedure is validated through its comparison to literature available results on a classical 1-3 piezoelectric micro fiber (longitudinally polarized) reinforced composite and a shear piezoelectric macro-fiber (transversely polarized) composite module. | ||
| Key Words | ||
| electromechanical enthalpy; finite element homogenization; piezoelectric composite modules; integrated electrodes | ||
| Address | ||
| Burkhard Kranz : Fraunhofer Institute for Machine Tools and Forming Technology, 01187 Dresden, Germany Ayech Benjeddou : Institut Superieur de Mecanique de Paris, 93400 Saint-Ouen, France Welf-Guntram Drossel: Institute for Machine Tools and Production Processes, Chemnitz University of Technology, 09107 Chemnitz, Germany | ||