Proposal of hyperelastic proportional damping as dissipated energy model of hard rubbers

0474714 - ÚT 2018 RIV CZ eng C - Conference Paper (international conference)
Šulc, Petr - Pešek, Luděk - Bula, Vítězslav - Košina, Jan - Cibulka, Jan
Proposal of hyperelastic proportional damping as dissipated energy model of hard rubbers.
Engineering Mechanics 2017. Brno: University of technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, 2017 - (Fuis, V.), s. 942-945. ISBN 978-80-214-5497-2. ISSN 1805-8248.
[Engineering Mechanics 2017 /23./. Svratka (CZ), 15.05.2017-18.05.2017]
R&D Projects: GA ČR GA16-04546S
Institutional support: RVO:61388998
Keywords : torsion vibration * large deformation * hyperelasticity * dissipated energy * deformation energy
OECD category: Applied mechanics

The paper deals with a stress analysis of hard rubber under large torsion deformations. This study was motivated by effort to find the dependency the dissipated energy on the deformation energy. Based on the results of an experiment, a function of dissipation energy of hard rubbers for finite strains using the theory hyperelasticity was proposed herein analogically as a proportional damping for elastic theory. Samples of hard rubber of different hardness (EPDM, Silicone) were dynamically tested on the developed torsional test-rig at different frequencies, amplitudes. First the Mooney Rivlin model (MRM) for a shear case of loading was analytically developed and then MRM constants were attained by fitting of the MRM to the experimental torsion-deformation curve. These constants were used to obtain the deformation energy of the MRM models. The coefficients of hyperelastic proportional damping relating a dissipated energy to a strain energy were evaluated for tested rubbers on the basis of experimental results.
Permanent Link: http://hdl.handle.net/11104/0273604