Marin, M. Some estimates on vibrations in thermoelasticity of dipolar bodies. (English) Zbl 1269.74096 J. Vib. Control 16, No. 1, 33-47 (2010). Summary: We consider a right cylinder composed of a physically dipolar thermoelastic material for which one plane end is subjected to an excitation which is harmonic in time. By using a measure of Toupin type associated with the corresponding steady-state vibration and assuming that the exciting frequency is lower than a certain critical frequency, we obtain a spatial decay estimate, similar to that of Saint-Venant type. Cited in 17 Documents MSC: 74H45 Vibrations in dynamical problems in solid mechanics 74A35 Polar materials 74F05 Thermal effects in solid mechanics 35Q74 PDEs in connection with mechanics of deformable solids Keywords:thermoelasticity; dipolar bodies; spatial decay; harmonic; vibrations PDFBibTeX XMLCite \textit{M. Marin}, J. Vib. Control 16, No. 1, 33--47 (2010; Zbl 1269.74096) Full Text: DOI References: [1] Fichera, G., Handbuch der Physik 2 (1972) [2] Flavin, J.N., Journal of Elasticity 17 pp 249– (1987) · Zbl 0624.73012 · doi:10.1007/BF00049455 [3] Marin, M., Journal of Applied Mathematics (2007) · Zbl 1141.74007 [4] Marin, M., Nonlinear Analysis: RWA 10 pp 1572– · Zbl 1160.74002 · doi:10.1016/j.nonrwa.2008.02.001 [5] Toupin, R.A., Archive for Rational Mechanics and Analysis 18 pp 83– (1965) · Zbl 0203.26803 · doi:10.1007/BF00282253 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.