Zhuk, Ya. A.; Senchenkov, I. K. Modelling of stationary oscillations and dissipative heating of thin-wall non-elastic elements containing piezoactive layers. (Russian, English) Zbl 1107.74025 Prikl. Mekh., Kiev 40, No. 5, 80-91 (2004); translation in Int. Appl. Mech. 40, No. 5, 546-556 (2004). Using geometrically nonlinear theory and Kirchhoff-Love hypotheses, the authors study a coupled thermoelectrodynamics of thin-walled multilayer elements. For the particular case of harmonic loading, the authors formulate an approximate problem involving complex moduli for the description of cyclic properties of the material. They examine the main features of the stress-strain state and heating due to vibration. Reviewer: V. G. Karnaukhov (Kyïv) Cited in 6 Documents MSC: 74H45 Vibrations in dynamical problems in solid mechanics 74F05 Thermal effects in solid mechanics 74F15 Electromagnetic effects in solid mechanics Keywords:geometrically nonlinear theory; Kirchhoff-Love hypotheses; harmonic loading PDFBibTeX XMLCite \textit{Ya. A. Zhuk} and \textit{I. K. Senchenkov}, Prikl. Mekh., Kiev 40, No. 5, 80--91 (2004; Zbl 1107.74025); translation in Int. Appl. Mech. 40, No. 5, 546--556 (2004) Full Text: DOI