Sur un modèle de comportement mécanique avec analyse modale de la dissipation intrinsèque : mise en oeuvre et validation numériques

Abstract : The DNLR approach (distribution of non linear relaxation) relies upon the fluctuation theory and the modal analysis of dissipation. It allows the description of a wide range of physical behaviours. The goal of the present work consists of a validation of the mechanical model for complex cyclic loadings and the implementation of the constitutive equations into a finite element code (Msc-Marc). The underlying thermodynamical formulation treats the dissipation thanks to internal reorganisations, the kinetics of which is strongly non-linear. We have established numerical procedures within the integration scheme, that do speed up the calculation. It consists in the variable step technique, which proves to be efficient compared to the NLK model (non linear kinematics), although being a priori more favourable regarding this aspect, since the number of internal variables is strongly reduced.The method using large time increments (LATIN) planed for the calculation of cycles leads to calculation times similar to the scheme involving an acceleration of the integration step.
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Theses
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http://docnum.univ-lorraine.fr/prive/INPL_T_2002_DIENG_L.pdf
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https://hal.univ-lorraine.fr/tel-01750244
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Submitted on : Thursday, March 29, 2018 - 12:41:31 PM
Last modification on : Friday, March 30, 2018 - 1:28:28 AM

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Mohamadou Lamine Dieng. Sur un modèle de comportement mécanique avec analyse modale de la dissipation intrinsèque : mise en oeuvre et validation numériques. Autre [cond-mat.other]. Institut National Polytechnique de Lorraine, 2002. Français. ⟨NNT : 2002INPL099N⟩. ⟨tel-01750244⟩

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