Abstract
The method of torsion oscillations is used to measure the dynamic modulus of elasticity of magnetically controlled elastomers that comprise silicone rubber and carbonyl iron in the low-frequency (up to 100 Hz) range. The samples are synthesized in the absence of a magnetic field; therefore, they have an isotropic structure. In the measurements, a constant magnetic field (up to 24 kA/m) is superimposed along the axis of forced torsion oscillations of the sample. A simple model of the rheological behavior of magnetically controlled elastomers is proposed; the problem of torsion oscillations of a cylindrical sample is solved. From the comparison with the experiment for the materials under study, we determine the coefficients of the theoretical model and the corrections to them, which are made because of variations in the rheology of magnetically controlled elastomers under the influence of a magnetic field. The derived relations make it possible to exclude artifacts and to adequately describe dependences of the storage and loss moduli on the frequency of mechanical loading and the strength of the applied magnetic field.
Similar content being viewed by others
References
M. R. Jolly, J. D. Carlson, and B. C. Munoz, Smart Mater. Struct. 5, 607 (1996).
M. R. Jolly, J. D. Carlson, and B. C. Munoz, J. Intell. Mater. Syst. Struct. 7, 613 (1996).
W. M. Stewart, J. M. Ginder, L. D. Elie, and M. E. Nichols, US Patent No. 5,816,587 (1998).
E. F. Levina, RF Patent No. 2157013 (2000).
L. V. Nikitin, L. S. Mironova, A. N. Samus’, and G. V. Stepanov, Polymer Science, Ser. A 43, 443 (2001) [Vysokomol. Soedin., Ser. A 43, 698 (2001)].
L. V. Nikitin, L. S. Mironova, K. G. Kornev, and G. V. Stepanov, Polymer Science, Ser. A 46, 301 (2004) [Vysokomol. Soedin., Ser. A 46, 498 (2004)].
L. V. Nikitin, G. V. Stepanov, L. S. Mironova, and A. I. Gorbunov, J. Magn. Magn. Mater. 2072–2073, 272 (2004).
S. S. Abramchuk, D. S. Grishin, E. Yu. Kramarenko, et al., Polymer Science, Ser. A 48, 138 (2006) [Vysokomol. Soedin., Ser. A 48, 245 (2006)].
G. V. Stepanov, S. S. Abramchuk, D. A. Grishin, et al., Polymer 48, 488 (2007).
S. Abramchuk, E. Kramarenko, G. Stepanov, et al., Polym. Adv. Technol. 18, 883 (2007).
S. Abramchuk, E. Kramarenko, D. Grishin, et al., Polym. Adv. Technol. 18, 513 (2007).
G. V. Stepanov, D. Yu. Borin, Yu. L. Raikher, et al., J. Phys.: Condens. Matter 20, Art. No. 204121-5 (2008).
Yu. L. Raikher and O. V. Stolbov, J. Phys.: Condens. Matter 20, Art. No. 204126-5 (2008).
A. V. Chertovich, G. V. Stepanov, E. Yu. Kramarenko, and A. R. Khokhlov, Macromol. Mater. Eng. 295, 336 (2010).
G. Filipcsei, I. Csetneki, A. Szilgyi, and M. Zrinyi, Adv. Polym. Sci. 206, 137 (2007).
Y. Shen and M. F. Golnaraghi, J. Intell. Mater. Syst. Struct. 15, 27 (2004).
C. Bellan and G. Bossis, Int. J. Mod. Phys. B 16, 2447 (2002).
G. Bossis, C. Abbo, S. Cutillas, et al., Int. J. Mod. Phys. B 15, 564 (2001).
G. Y. Zhou and Z. Jiang, Smart Mater. Struct. 13, 309 (2004).
M. Zrinyi, J. Gacs, and C. Simon, WO Patent No. 9702580 (2006).
J. D. Carlson and M. R. Jolly, Mechatronics 10, 555 (2000).
J. Li, X. Gong, H. Zhu, and W. Jiang, Polym. Test. 28, 331 (2009).
L. Chen, X. Gong, and W. Li, Chin. J. Chem. Phys. 21, 581 (2008).
L. Chen, X. L. Gong, and W. H. Li, Polym. Test. 27, 340 (2008).
T. L. Sun, X. L. Gong, W. Q. Jiang, et al., Polym. Test. 27, 520 (2008).
M. Kallio, T. Lindroos, S. Aalto, et al., Smart Mater. Struct. 16, 506 (2007).
X. L. Gong, X. Z. Zhang, and P. Q. Zhang, Polym. Test. 24, 669 (2005).
Y. Wang, Y. Hu, L. Chen, et al., Polym. Test. 25, 262 (2006).
DE Patent No. DD 297 178 (1992).
G. V. Stepanov, E. I. Alekseeva, A. I. Gorbunov, and L. V. Nikitin, Organosilicon Chemistry VI-From Molecules to Materials, Ed. by N. Auner and J. Weis (Wiley-VCH, Weinheim, 2005), Vol. 2, p. 779.
A. Ya. Malkin and A. I. Isaev, Rheology: Concepts, Methods, and Applications (Professiya, St. Petersburg, 2007) [in Russian].
M. Reiner, in Rheology. Theory and Applications, Ed. by F. R. Eirich (Academic, New York, 1956; Inostrannaya Literatura, Moscow, 1962).
S. V. Kankanala and N. Triantafyllidis, J. Mech. Phys. Solids 52, 2869 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.V. Stolbov, Yu.L. Raikher, G.V. Stepanov, A.V. Chertovich, E.Yu. Kramarenko, A.R. Khokhlov, 2010, published in Vysokomolekulyarnye Soedineniya, Ser. A, 2010, Vol. 52, No. 12, pp. 2158–2169.
This work was supported by the Russian Academy of Sciences (project 09-P-1-1010), under state contract 02.740.11.0442, by the Federal Education Agency (Rosobrazovanie) via the analytical departmental target program Development of the Scientific Potential of the Higher School (2.1.1/4463), and by the federal target program Research and Scientific-Pedagogical Personnel of Innovative Russia (State contract P2290).
Rights and permissions
About this article
Cite this article
Stolbov, O.V., Raikher, Y.L., Stepanov, G.V. et al. Low-frequency rheology of magnetically controlled elastomers with isotropic structure. Polym. Sci. Ser. A 52, 1344–1354 (2010). https://doi.org/10.1134/S0965545X10120138
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0965545X10120138