Geodesic
On a 1-D model of stress relaxation in an annealed glass
Applications of Mathematics, Tome 47 (2002) no. 2, pp. 115-125

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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 
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
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     year = {2002},
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