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A geometrically and materially non‐linear piezoelectric three‐dimensional‐beam finite element formulation including warping effects |
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| Authors: | A Butz S Klinkel W Wagner |
| Affiliation: | 1. Fraunhofer‐Institut für Werkstoffmechanik IWM, W?hlerstr. 11, 79108 Freiburg, Germany;2. Institut für Baustatik, Universit?t Karlsruhe (TH), Kaiserstr. 12, 76131 Karlsruhe, Germany |
| Abstract: | |
| Keywords: | three‐dimensional beam warping piezoelectricity shear actuator geometrically non‐linear ferroelectric hysteresis Preisach model finite element |