Equivalence of certain types of rheological equations of state for polymer media
Part 1. General analysis
The conditions are established under which rheological relaxation equations and rheological integral equations will be equivalent.
KeywordsPolymer Statistical Physic Integral Equation Polymer Medium Relaxation Equation
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- 1.C. Truesdell and W. Noll, “Nonlinear field theories of mechanics,” in: Handbook of Physics, Vol. III/3, Springer-Verlag, Berlin (1965).Google Scholar
- 2.C. Truesdell (ed.), Continuum Mechanics, Vol. 2, Rational Mechanics of Materials, Gordon and Breach (1965).Google Scholar
- 3.G. Astarita and G. Marucci, Basic Hydromechanics of Newtonian Fluid [Russian translation], Mir, Moscow (1978).Google Scholar
- 4.A. S. Lodge, Body Tensor Fields in Continuum Mechanics, Academic Press, New York (1974).Google Scholar
- 5.R. R. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymer Fluids, Vol. 1, Wiley, New York (1977).Google Scholar
- 6.G. V. Vinogradov and A. Ya. Malkin, Rheology of Polymers [in Russian], Khimiya, Moscow (1977).Google Scholar
- 7.Chaig Dei Khan, Rheology of Polymer Reprocessing [in Russian], Khimiya, Moscow (1979).Google Scholar
- 8.A. S. Lodge, “Constitutive equations from molecular network theories for polymer solutions,” Rheol. Acta,7, No. 4, 379–392 (1968).Google Scholar
- 9.F. R. Gantmakher, Theory of Matrices, Chelsea Publ.Google Scholar
- 10.T. D. Goddard, “Polymeric fluid mechanics,” Adv. Appl. Mech.,19, 143–219 (1979).Google Scholar
- 11.C. Truesdell and R. A. Toupin, “Classical field theories,” Handbook of Physics, Vol. III/l, Springer-Verlag, Berlin (1960), pp. 226–793.Google Scholar
- 12.L. I. Sedov, Introduction to Mechanics of Continuous Media [in Russian], Fizmatgiz, Moscow (1962).Google Scholar
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