Summary
An entangled network such as a polymer melt or a concentrated solution is here described by a set of two simultaneous equations. One of them is a balance of entanglements, the other gives the stress in the classical form of aMaxwell equation.
The balance of entanglements contains both an entanglement generation term which depends on the “distance” from equilibrium and an entanglement destruction term which depends on the stress level. The parameters appearing in theMaxwell and the balance equations are made to depend in a specified way on the existing number of entanglements.
The model is here tested by comparison with existing data of steady-state elongational and shear viscosity of polymer melts.
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Marrucci, G., Titomanlio, G. & Sarti, G.C. Testing of a constitutive equation for entangled networks by elongational and shear data of polymer melts. Rheol Acta 12, 269–275 (1973). https://doi.org/10.1007/BF01635115
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DOI: https://doi.org/10.1007/BF01635115