A procedure for determining the relaxation constants of material that enter the Maxwell–Gurevich non-linear equation was examined. For recycled polyvinyl chloride, relaxation curves plotted at different temperatures were processed, and the influence of temperature on the relaxation parameters was investigated. For each parameter, an empirical formula was selected to describe its temperature dependence.

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Rheologic of a polymer pipe from cyclic temperature and internal pressure in one-dimensional and two-dimensional formulations is considered. The resulting equations of the finite element method allow one to calculate both single-layer and multilayer thick-walled pipes taking into account creep. In the calculation, the temperature dependences of the elastic and rheological parameters of polymer pipes were used. The effect of variable thermal conditions on the VAT of a PVC pipe is investigated. It has been established that under unsteady thermal conditions, stresses can occur significantly higher than in a stationary temperature field. This is explained by the fact that polymers have a component of deformation that is lagging in phase from stresses (highly elastic deformation).

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