A kinetic theory for polymer melts. II. The stress tensor and the rheological equation of state

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Abstract
An expression for the stress tensor of an undiluted polymer is derived by starting with the phase‐space kinetic theory of Curtiss, Bird, and Hassager. The final formula contains two integrals, the first of which is the Doi–Edwards expression; the second integral, multiplied by the ’’link tension coefficient’’ ε, is new, and consequently a rheological equation of state is obtained whose properties are different from those of the Doi–Edwards theory. As illustrations, the constants in the retarded‐motion expansion are determined to third order, and the relaxation modulus of linear viscoelasticity is obtained.

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