Geodesic
On a 1-D model of stress relaxation in an annealed glass
Applications of Mathematics, Tome 47 (2002) no. 2, pp. 115-125 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

A 1-D model of a slab of glass of a small thickness is considered. The governing equations are those of the classical 1-D linear viscoelasticity. A load due to the temperature gradients is assumed. The aim is to model the process called annealing. It is shown that an additional load due to structural strain is crucial for the success of the model. Algorithms of a numerical solution of the governing equations are proposed. Numerical results are presented and commented.
A 1-D model of a slab of glass of a small thickness is considered. The governing equations are those of the classical 1-D linear viscoelasticity. A load due to the temperature gradients is assumed. The aim is to model the process called annealing. It is shown that an additional load due to structural strain is crucial for the success of the model. Algorithms of a numerical solution of the governing equations are proposed. Numerical results are presented and commented.
DOI : 10.1023/A:1021781001389
Classification : 65M20, 74D05, 74F05, 74S30
Keywords: viscoelasticity; relaxation functions; method of lines 
@article{10_1023_A:1021781001389,
     author = {Janovsk\'y, Vladim{\'\i}r and Just, David},
     title = {On a {1-D} model of stress relaxation in an annealed glass},
     journal = {Applications of Mathematics},
     pages = {115--125},
     year = {2002},
     volume = {47},
     number = {2},
     doi = {10.1023/A:1021781001389},
     mrnumber = {1894664},
     zbl = {1090.74017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1021781001389/}
}
TY  - JOUR
AU  - Janovský, Vladimír
AU  - Just, David
TI  - On a 1-D model of stress relaxation in an annealed glass
JO  - Applications of Mathematics
PY  - 2002
SP  - 115
EP  - 125
VL  - 47
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1021781001389/
DO  - 10.1023/A:1021781001389
LA  - en
ID  - 10_1023_A:1021781001389
ER  - 
%0 Journal Article
%A Janovský, Vladimír
%A Just, David
%T On a 1-D model of stress relaxation in an annealed glass
%J Applications of Mathematics
%D 2002
%P 115-125
%V 47
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1021781001389/
%R 10.1023/A:1021781001389
%G en
%F 10_1023_A:1021781001389
Janovský, Vladimír; Just, David. On a 1-D model of stress relaxation in an annealed glass. Applications of Mathematics, Tome 47 (2002) no. 2, pp. 115-125. doi: 10.1023/A:1021781001389

Cité par Sources :