Deformation energy of Yeoh hyperelastic model and constant hyperelastic proportional damping

0497771 - ÚT 2019 RIV CZ eng C - Conference Paper (international conference)
Šulc, Petr - Pešek, Luděk - Bula, Vítězslav - Košina, Jan - Cibulka, Jan
Deformation energy of Yeoh hyperelastic model and constant hyperelastic proportional damping.
DYMAMESI 2018 - Proceedings. Prague: Institute of Thermomechanics AS CR, v. v. i., 2018 - (Zolotarev, I.; Pešek, L.; Kozieň, M.), s. 75-78. ISBN 978-80-87012-66-6.
[DYMAMESI 2018 - Dynamics of Machines and Mechanical Systems with Interactions. Prague (CZ), 06.03.2018-07.03.2018]
Institutional support: RVO:61388998
Keywords : Yeoh model * hyperelastic proportional damping * deformation energy
OECD category: Applied mechanics

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.
Permanent Link: http://hdl.handle.net/11104/0291277