Empirically, we find that parametric plots of mechanical loss angle vs complex shear modulus may depend neither on temperature nor on average molecular weight. 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 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 distribution.

Van Gurp–Palmen relations for long-chain branching from general rigid bead-rod theory

ACS Spring 2022

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