Couplage thermomécanique et approche non entière de l'irréversibilité en viscoélasticité

Abstract : This report is about the elaboration of constitutive viscoelastic relations in rheology of solids which are consistant in thermodynamics. The DNLR strategy (Distribution of Non-Linear Relaxation) based on the thermodynamics of irreversible processes will be used. The first section of this study is considering the viscoelastic relaxation. The theory of fluctuations and the concept of equipartition of produced entropy is governing the writing of the DNLR Relaxation spectra. The irreversible process is described by a self similar representation. Its recursive proprieties will allow to establish the relation between DNLR approach and rheological models with fractional derivative. The second section analyzes the thermomecanic coupling terms and developes a modelisation of thermie transferts in a sample which is subjected to mechanical loadings. The IDanalytical calculations will be valided with finites elements simulations. After a description of the experimental non intrusive set-up composed by an infraied mono-detector to mesure temperature and a videotraction system for strain measurement, the last section will present a first validation of our modelisation, rising experimental data coming from a 8355 steel subjected to mechanical cyclic loadings. The main interest of this part is to present an exemple of a coherent strategy for the thermomechanical characterization of a material.
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Yves Meshaka. Couplage thermomécanique et approche non entière de l'irréversibilité en viscoélasticité. Autre [cond-mat.other]. Institut National Polytechnique de Lorraine, 2002. Français. ⟨NNT : 2002INPL091N⟩. ⟨tel-01749725⟩

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