A thermomechanical framework is discussed here that takes into account viscoelastic liquid-like behavior of the polymer melt, viscoelastic solid-like behavior of the glassy polymeric solids as the melt is cooled below its glass transition and the material conversion kinetics associated with the glass transition process in a unified setting. An initiation criterion for the solidification process is obtained from thermodynamic considerations. Restrictions on some of the material constants are obtained as a result of the choice of the entropy production due to phase change. Several specific models for the glass transition phenomenon can be derived using this framework that can be used in the study of fiber spinning, film blowing and so forth of certain polymers.
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