Advanced Dynamics and Model-Based Control of Structures and Machines
The book contains 26 scientific contributions by leading experts from Russia, Austria, Italy, Japan and Taiwan. It presents an overview on recent developments in Advanced Dynamics and Model Based Control of Structures and Machines. Main topics are no
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Abstract The viscohyperelastic properties of the hydrogenated nitril-butadien rubber containing the nano-size particles of technical carbon are studied. The stress– strain curves and the relaxation diagrams of the material under conditions both of tension and compression are presented. For the description of the viscohyperelastic behavior of filled elastomers, the constitutive equations are proposed. These equations represent the experimental values of stresses as the sum of two parts: hyperelastic part and viscoelastic one. The hyperelastic part is defined by the hyperelastic potential. The viscoelastic one is described by the nonlinear analogue of the equations of linear theory of viscoelasticity. The method for the determination of the parameters and the material functions is proposed. The comparisons of experimental data with the results of theoretical predictions are presented.
1 Introduction Rubbers, both natural and synthetic, are rarely used as raw materials. Instead they usually constitute the base of polymer composites which preserve the elasticity of rubber but demonstrate improved deformation and strength properties. This strengthening of polymer materials is gained by an infusion into the rubber compound of dispersed inorganic particles – the fillers. Better strengthening is achieved for filler particles of a smaller size. A similar effect is discussed in [1]. In particular, infusion of coarse particles into the rubber compound is shown to
T.A. Beliakova () E.V. Lomakin Faculty of Mechanics and Mathematics, Moscow State Lomonosov University, Moscow, Russia e-mail: [email protected]; [email protected] Y.P. Zezin Institute of Mechanics, Moscow State Lomonosov University, Moscow, Russia e-mail: [email protected] H. Irschik et al. (eds.), Advanced Dynamics and Model-Based Control of Structures and Machines, DOI 10.1007/978-3-7091-0797-3 4, © Springer-Verlag/Wien 2012
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increase several times the Young modulus and the strength of the rubber. Use of nanoparticle fillers (such as carbon black) increases Young modulus and the strength limit up to ten times. In the meantime, the filled elastomers preserve the strain limit of the initial pure rubber. Therefore the use of nanoparticle insertions for rubber compounds allows one either to improve the deformation properties of the material, for the same filler admixture, or to achieve the required stiffness and the strength properties with a reduced fillers admixture. In this work we investigate the hyperviscoelastic behaviour of the polymer composite with elastomeric matrix based on hydrogenated nitrile-butadiene rubber reinforced with carbon black N 110, with the mass content 50% [2]. The filler under consideration is characterised by a low dispersion of particle sizes (within 20–25 nm), with the specific surface 1:25 105 m2 /kg and with the genuine density 1,850 kg/m3 . The elastomer specimens were tested under the conditions of uniaxial tension and uniaxial compression. In addition stress relaxation tests were p
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