Title of the article

MOLECULAR-STATISTICAL THEORY OF ELASTIC AND VISCOUS PROPERTIES OF RUBBER-LIKE MATERIALS WITH ORIENTATIONAL ORDER

Authors

Nemtsov V.B., Belarusian State Technological University, Minsk, the Republik of Belarus

Kamluk A.N., Belarusian State Technological University, Minsk, the Republik of Belarus

Shirko A.V., Belarusian State Technological University, Minsk, the Republik of Belarus

In the section MECHANICS OF DEFORMED SOLIDS
Year 2008 Issue 3 Pages 56-59
Type of article RAR Index UDK 536.258 Index BBK  
Abstract

The paper contains the results of investigation of elastic and viscous properties of rubber-like materials with orientational order. The elastic properties are described with the help of the introduced microscopic Cauchy-Green tensor. The obtained results describe the nonlinear elastic properties well and predict the existence of the soft modes. In the theory of viscous properties the approved model for the time correlation function of the microscopic stress tensor is used.

Keywords

elastic properties, rubber-like materials, time correlation function

  You can access full text
Bibliography
  • Chernykh K.F. Nelinejnaja teorija uprugosti v mashinostroitel'nyh raschetah [Nonlinear theory of elasticity in engineering calculations]. Leningrad, Mashinostroenie, 1986. 336 p.
  • Warner M., Terentyev E.M. Liquid Crystal Elastomers. N.Y. Oxford, Claredon press, 2003. 407 p.
  • Nemtsov V.B. Uprugost' nematicheskih jelastomerov [The elasticity of nematic elastomers]. Teoretich. i prikl. mehanika [Theoretical and Applied Mechanics], 2007, vol. 22, pp. 11-17.
  • Landau L.D., Lifshitz E.M. Statisticheskaja fizika [Statistical physics]. Moscow, Nauka, 1976. 584 p.
  • Treloar L.R. The mechanics of rubber elasticity. Proc. R. Soc. Lond. A., 1976, vol. 351, pp. 301-330.
  • Kuzuu N., Doi M. Constitutive Equation for Nematic Liquid Crystals under Week Velocity Gradient Derived from a Molecular Kinetic Equation. J.Phys. Soc. Ipn., 1983, vol. 52, pp. 3486-3494.
  • Kondratenko A.V., Nemtsov V.B. Statisticheskoe vychislenie vjazkih svojstv nematicheskih zhidkih kristallov s pomoshh'ju kineticheskogo uravnenija dlja tenzornogo parametra porjadka [Statistical calculation of viscous properties of nematic liquid crystals with the help of the kinetic equation for the tensor order parameter]. IFZh. [Engineering and Physics Journal], 2001, vol. 74, no. 3, pp. 56-62.
  • Tankeshkar, K., Pathak K.N., Ranganathan S.J. Longitudinal and bulk viscosities of Lennard Jones fluids. J. Phys.: Condensed Matter, 1996, vol. 8, pp. 10847-10861.
  • Nemtsov V.B. Breathing Sphere Model for Description of the Vibration Energy Transfer in a Viscoelastic Medium. Nonlinear Phenomena in Complex Systems, 2005, vol. 8, pp. 134-147.