Abstract
The kinetic-equations method is used to obtain a constitutive equation of viscoelasticity based on representations of the existence of different conformational states of the macromolecules of oriented polymers. The equation makes it possible to describe and predict the stress-strain state of synthetic fibers and other polymeric materials under non-destructive loads. Most oriented amorphous-crystalline polymers exhibit nonlinear rheological properties under mechanical loads. Several theories of nonlinear viscoelasticity [1-4] based on Boltzmann’s well-known heredity principle have been constructed to describe the mechanisms responsible for the behavior of these materials during deformation. The constitutive equation for the unidimensional case is usually represented in the form
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