Empirically, we find that parametric plots of mechanical loss angle vs complex shear modulus may depend neither on temperature [M. van Gurp and J. Palmen, “Time-temperature superposition for polymeric blends,” Rheol. Bull. 67, 5–8 (1998)] nor on average molecular weight [S. Hatzikiriakos, “Long chain branching and polydispersity effects on the rheological properties of polyethylenes,” Polym. Eng. Sci. 40, 2279 (2000)]. Moreover, Hatzikiriakos (2000) discovered that, for fixed polydispersity, these van Gurp–Palmen curves descend with long-chain branching content. In this paper, we find that general rigid bead-rod theory [O. Hassager, “Kinetic theory and rheology of bead-rod models for macromolecular solutions. II. Linear unsteady flow properties,” J. Chem. Phys. 60(10), 4001–4008 (1974)] can explain these descents. We explore the effects of branching along a straight chain in small-amplitude oscillatory shear flow. Specifically, we explore the number of branches, branch length, branch position, and branch ...

中文翻译：

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来自一般刚性珠杆理论的长链支化的 Van Gurp-Palmen 关系

根据经验，我们发现机械损耗角与复剪切模量的参数图可能既不依赖于温度 [M. van Gurp 和 J. Palmen，“聚合物共混物的时间-温度叠加”，Rheol。公牛。67, 5–8 (1998)] 也不是平均分子量 [S. Hatzikiriakos，“长链支化和多分散性对聚乙烯流变特性的影响”，Polym。英。科学。40, 2279 (2000)]。此外，Hatzikiriakos (2000) 发现，对于固定的多分散性，这些 van Gurp-Palmen 曲线随着长链支化含量下降。在本文中，我们发现一般刚性珠杆理论[O. Hassager，“大分子溶液珠棒模型的动力学理论和流变学。二、线性非定常流动特性，”J. Chem。物理。60(10), 4001–4008 (1974)] 可以解释这些下降。我们探索了在小振幅振荡剪切流中沿直链分支的影响。具体来说，我们探索了分支数量、分支长度、分支位置和分支......