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Torsion dissipated energy of hard rubbers as function of hyperelastic deformation energy of the Yeoh
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SYSNO ASEP 0497769 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title Torsion dissipated energy of hard rubbers as function of hyperelastic deformation energy of the Yeoh Author(s) Šulc, Petr (UT-L) RID
Pešek, Luděk (UT-L) RID
Bula, Vítězslav (UT-L) RID
Košina, Jan (UT-L) RID
Cibulka, Jan (UT-L)Number of authors 5 Source Title Applied and Computational Mechanics - ISSN 1802-680X
Roč. 12, č. 1 (2018), s. 111-118Number of pages 9 s. Publication form Print - P Language eng - English Country CZ - Czech Republic Keywords first invariant deformation ; simple shear ; deformation energy Subject RIV BI - Acoustics OECD category Applied mechanics R&D Projects GA16-04546S GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 EID SCOPUS 85059859377 DOI 10.24132/acm.2018.422 Annotation In this paper, we are proposing a new formulation of dissipated energy of hard rubbers as a function of the deformation energy expressed by the Yeoh hyperelastic model. Torsion deformation is considered as a planar deformation of a simple shear on the surface of a cylinder. Thus the deformation energy is dependent only on the first invariant of strain. Based on the experiment, a “hyperelastic proportional damping” (HPD) is proposed for hard rubbers under finite strains. Such damping is analogical to the model of proportional damping in the linear theory of viscoelasticity, i.e. the dissipated energy is proportional to the deformation energy multiplied by the frequency of dynamic harmonic loading. To obtain the experimental data, samples of hard EPDM rubbers of different harnesses were dynamically tested on a torsional test rig for different frequencies and amplitudes. The Yeoh model is chosen since the deformation function is dependent only on the first strain invariant for the description of the simple shear of a surface cylinder. The Yeoh constants are evaluated by curve fitting of the analytical stress function to the experimental torsion stress-deformation curve. The constants are used to express the deformation energy of the Yeoh model for specific cases of tested rubbers. The coefficients of hyperelastic proportional damping are evaluated on the basis of experimental results. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2019
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