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On a 1-D Model of Stress Relaxation in an Annealed Glass

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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.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University of Prague, Sokolovska 83, 186 75, Praha 8, Czech Republic

    Vladimir Janovsky

  2. Anenska 274, 258 06, Sazava

    David Just

Authors
  1. Vladimir Janovsky
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  2. David Just
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Janovsky, V., Just, D. On a 1-D Model of Stress Relaxation in an Annealed Glass. Applications of Mathematics 47, 115–125 (2002). https://doi.org/10.1023/A:1021781001389

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  • DOI: https://doi.org/10.1023/A:1021781001389

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