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从前一报所提出的具有多重缠结限制作用的高分子非线性粘弹性理论出发,推导出了高分子流体的回忆函数、一般化的积分型本构方程和多种流场分布下的多种物料函数:1)稳态简单剪切流;2)稳态单轴拉伸流;3)小振幅的振动剪切流;4)稳态剪切流前和后的应力增长和应力松弛;5)稳态拉伸流动停止后的应力松弛.提出了一种从流动曲线来测定物料函数中的粘弹性参数ηo,G,n'和α的新方法.从多重缠结和多重蠕动机理推导出了ηo和τt同M的定量关系式,并得到了实验证实.最后以大量高分子流体的流变性能实验数据(η(γ),ψl(ω)和η(ω))对所得的静、动态剪切物料函数进行了验证,证实了所提出的非线性粘弹性分子理论与实验有较好的符合.
Based on the theory of polymer nonlinear viscoelasticity with multiple entanglement constraints proposed in the previous paper, the recall function of polymer fluid, the generalized integral constitutive equation, and the various kinds of flow field distribution Material functions: 1) Steady state simple shear flow; 2) Steady state uniaxial tension flow; 3) Vibration shear flow with small amplitude; 4) Stress growth and stress relaxation before and after steady state shear flow; Strain Relaxation after steady-state stretching stops. A new method to measure the viscoelastic parameters ηo, G, n ’and α in the material function from the flow curve is proposed. The quantitative relationship between ηo and τt and M is deduced from the theory of multiple tangles and multiple peristalsis and has been experimentally confirmed. Finally, the static and dynamic shear material functions obtained from the experimental data (η (γ), ψl (ω) and η (ω)) of a large number of polymer fluids are validated, and the proposed nonlinear viscoelasticity Elastic molecular theory and experiments have a good match.