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Korea-Australia rheology journal v.16 no.2, 2004년, pp.91 - 99  

Conformational changes of short, discrete Rouse chain during creep and recovery processes

Watanabe, Hiroshi   (Institute of Chemical Research, Kyoto UniversityUU0016178  ); Inoue, Tadashi   (Institute of Chemical Research, Kyoto UniversityUU0016178  );
  • 초록

    For the Rouse chain composed of infinite number of beads (continuous limit), conformational changes during the creep and creep recovery processes was recently analyzed to reveal the interplay among all Rouse eigenmodes under the constant stress condition (Watanabe and Inoue, Rheol. Acta, 2004). For completeness of the analysis of the Rouse model, this paper analyzes the conformational changes of the discrete Rouse chain having a finite number of beads (N = 3 and 4). The analysis demonstrates that the chain of finite N exhibits the affine deformation on imposition/removal of the stress and this deformation gives the instantaneous component of the recoverable compliance, $J_{R}$ (0) = 1/(N-l)v $k_{B}$ T with v and $k_{B}$ being the chain number density and Boltzmann constant, respectively. (This component vanishes for N\longrightarrow $\infty$ .) For N = 2, it is known that the chain has only one internal eigenmode so that the affinely deformed conformation at the onset of the creep process does not change with time t and $J_{R}$ (t) coincides with $J_{R}$ (0) at any t (no transient increase of $J_{R}$ (t)). However, for N $\geq$ 3, the chain has N-l eigenmodes (N-l $\geq$ 2), and this coincidence vanishes. For this case, the chain conformation changes with t to the non-affine conformation under steady flow, and this change is governed by the interplay of the Rouse eigenmodes (under the constant stress condition). This conformational change gives the non-instantaneous increase of $J_{R}$ (t) with t, as also noted in the continuous limit (N\longrightarrow $\infty$ ).X>).TEX>).X>).


  • 주제어

    discrete Rouse model .   creep .   creep recovery .   eigenmodes .   orientational anisotropy.  

  • 참고문헌 (7)

    1. Orientational anisotropy for Rouse eigenmodes during creep and recovery process , Watanabe,H.;T.Inoue , Rheol. Acta / v.,pp.,
    2. The entanglement concept in polymer rheology , Graessley,W.W. , Adv. Polym. Sci. / v.16,pp.3-179,
    3. Terminal retardation times and weights for the Rouse model for a crosslinked network , Berry,G.C. , J. Polym. Sci. B. Polym. Phys. / v.25,pp.2203-2205,
    4. Doi,M.;S.F.Edwards , The theory of polymer dynamics / v.,pp.,
    5. Ferry,J.D. , Viscoelastic properties of polymers(3rd ed.) / v.,pp.,
    6. Viscoelasticity and dynamics of entangled polymers , Watanabe,H. , Prog. Polym. Sci. / v.24,pp.1253-1403,
    7. Recent advances in the molecular aspects of polymer viscoelasticity , Pearson,D.S. , Rubber Chem. Technol. / v.60,pp.439-496,

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