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Linear thermoviscoelasticity. Part I: A functional model

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Summary

A functional model is proposed to account for the evolution of linear thermoviscoelastic media. By suitably modelling the fading memory of the medium, several quantities associated with this memory are defined, particularly under cyclic loading. Comparisons are made between this model and various existing thermomechanical constitutive equations: The assumptions implicitly involved in the latter are explicitly stated and the reservations they call for are discussed in the light of experimental data.

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Author notes

  1. M. Hajar

    Present address: Départment de Mathématiques, Faculté des Sciences et Techniques, Errachidia, Maroc

  2. R. H. Blanc

    Present address: Laboratoire de Méchanique et d'Acoustique, C.N.R.S., Marseille, France

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    1. M. Hajar
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    2. R. H. Blanc
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    Hajar, M., Blanc, R.H. Linear thermoviscoelasticity. Part I: A functional model. Acta Mechanica 130, 175–183 (1998). https://doi.org/10.1007/BF01184309

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    • DOI: https://doi.org/10.1007/BF01184309

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