Geodesic
The numerical solution of polymer mechanics boundary-value problems under relaxation and phase transition
Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 45-50.

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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. 
@article{MM_2000_12_7_a8,
     author = {N. A. Trufanov and O. Yu. Smetannikov and T. G. Savjalova},
     title = {The numerical solution of polymer mechanics boundary-value problems under relaxation and phase transition},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {45--50},
     publisher = {mathdoc},
     volume = {12},
     number = {7},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2000_12_7_a8/}
}
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N. A. Trufanov; O. Yu. Smetannikov; T. G. Savjalova. The numerical solution of polymer mechanics boundary-value problems under relaxation and phase transition. Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 45-50. http://geodesic.mathdoc.fr/item/MM_2000_12_7_a8/