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On a 1-D Model of Stress Relaxation in an Annealed Glass
Authors:Vladimir Janovsky  David Just
Institution:(1) Faculty of Mathematics and Physics, Charles University of Prague, Sokolovska 83, 186 75 Praha 8, Czech Republic;(2) Anenska 274, 258 06 Sazava
Abstract: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.
Keywords:viscoelasticity  relaxation functions  method of lines
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