Effect of Inertia on Linear Viscoelasticity of Harmonic Dumbbell Model

  title={Effect of Inertia on Linear Viscoelasticity of Harmonic Dumbbell Model},
  author={Takashi Uneyama and Fumiaki Nakai and Yuichi Masubuchi},
  journal={Nihon Reoroji Gakkaishi},
The overdamped (inertialess) dumbbell model is widely utilized to study rheological properties of polymers or other soft matters. In most cases, the effect of inertia is merely neglected because the momentum relaxation is much faster than the bond relaxation. We theoretically analyze the effect of inertia on the linear viscoelasticity of the harmonic dumbbell model. We show that the momentum and bond relaxation modes are kinetically coupled and the inertia can affect the bond relaxation if the… 

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The shear relaxation modulus of a harmonic dumbbell with the inertia effect. The momentum relaxation time is τm/τb
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