The numerical solution of polymer mechanics boundary-value problems under relaxation and phase transition

The mathematical model is considered describing generation and evolution of strain and stress fields over a wide range of temperature variations, including crystallization and glass transition. The formulation of quasistatic boundary-value problem includes new kinetic equations and physical relations that describe thermomechanical effects under relaxation and phase transition with high accuracy. For solving of the system of integral-differential equations the numerical stepped finite-element procedure is used. As example, the solution results are shown for problems of residual stress determination in glassy short cylinder and crystallizing pipe.