Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 45-50
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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/
@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},
year = {2000},
volume = {12},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2000_12_7_a8/}
}
TY - JOUR
AU - N. A. Trufanov
AU - O. Yu. Smetannikov
AU - T. G. Savjalova
TI - The numerical solution of polymer mechanics boundary-value problems under relaxation and phase transition
JO - Matematičeskoe modelirovanie
PY - 2000
SP - 45
EP - 50
VL - 12
IS - 7
UR - http://geodesic.mathdoc.fr/item/MM_2000_12_7_a8/
LA - ru
ID - MM_2000_12_7_a8
ER -
%0 Journal Article
%A N. A. Trufanov
%A O. Yu. Smetannikov
%A T. G. Savjalova
%T The numerical solution of polymer mechanics boundary-value problems under relaxation and phase transition
%J Matematičeskoe modelirovanie
%D 2000
%P 45-50
%V 12
%N 7
%U http://geodesic.mathdoc.fr/item/MM_2000_12_7_a8/
%G ru
%F MM_2000_12_7_a8
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.