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22 June 2000 Simulation techniques for piezoelectric composite materials and their application to smart structures
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In a joint research project of 5 Fraunhofer institutes, composite materials with piezoelectric fibers (diameter about 30 μm) and interdigitated electrodes are being developed. In this paper, finite element simulation techniques for this class of material are discussed. On the micromechanical level, the simulation techniques are based on the concept of the unit-cell method and allow the prediction of effective (smeared) properties of the composite as a function of the fiber and matrix properties, the fiber content, the fiber distribution, the placement of the electrodes and other microstructural details. The analyses are restricted to quasielectrostatic behavior and to linear piezoelectricity. The resulting effective properties serve as input data for the structural modeling on the macroscopic level. Four structural applications are presented: The response of a composite plate with integrated piezoelectric fiber impact sensors is simulated under quasistatic and under dynamic loading. The second application involves adaptive passive vibration damping and noise reduction with the help of externally shunted piezofibers. Possible applications to adaptive optical systems are then discussed. The fourth application is a peristaltic micropump. For this last application, only a virtual prototype exists up to now.
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Matthias Sester and Christophe Poizat "Simulation techniques for piezoelectric composite materials and their application to smart structures", Proc. SPIE 3985, Smart Structures and Materials 2000: Smart Structures and Integrated Systems, (22 June 2000); doi: 10.1117/12.388865;

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