Original title: Deformation energy of Yeoh hyperelastic model and constant hyperelastic proportional damping
Authors: Šulc, Petr ; Pešek, Luděk ; Bula, Vítězslav ; Košina, Jan ; Cibulka, Jan
Document type: Papers
Conference/Event: DYMAMESI 2018 - Dynamics of Machines and Mechanical Systems with Interactions, Prague (CZ), 20180306
Year: 2018
Language: eng
Abstract: The paper deals with a proposal of the dissipated energy of hard rubbers as a function of the deformation energy expressed by the Yeoh hyperelastic model. Then the deformation energy may be dependent only on the first invariant of deformation. Based on the experiment, a “hyperelastic proportional damping” (HPD) is proposed for hard rubbers under finite strains. It is analogical to the model of proportional damping in the elastic theory, i.e. the dissipated energy is proportional to the deformation energy multiplied by the frequency of dynamic harmonic loading. The Yeoh model is chosen since the deformation function is dependent only on the first strain invariant for a description of the simple shear of a surface cylinder. The constants are used to an enumeration of the deformation energy of the Yeoh model for the specific cases of tested rubbers. The coefficients of hyperelastic proportional damping are evaluated on the basis of experimental results,too.
Keywords: deformation energy; hyperelastic proportional damping; Yeoh model
Host item entry: DYMAMESI 2018 - Proceedings, ISBN 978-80-87012-66-6

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0291277

Permalink: http://www.nusl.cz/ntk/nusl-390666


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Research > Institutes ASCR > Institute of Thermomechanics
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