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Approche multi-échelles morphologique et directe pour une classe de composites particulaires fortement chargés hyperélastiques et visco-hyperélastiques.

Abstract : This study is devoted to multi-scale modelling of a wide class of highly-filled particulate composites such as solid propellants. Inspired by the previous work of Christoffersen (1983), the approach at stake (MA) is based on a preliminary geometrical and kinematical schematization. The objective of this work can be split into two parts : proving the ability of the MA to deal with viscohyperelasticity (behaviour of solid propellants' elastomeric matrix) and evaluating its quantitative relevance. The first point is treated by applying the MA to a numerically generated composite with random microstructure and viscohyperelastic matrix. The localisation-homogenisation problem is solved in a direct manner thanks to a particular algorithm operating in real time-space domain. Qualitative results are obtained. Concerning the second point, comparisons between MA estimates and finite element (FE) results (global and local levels) are made in order to evaluate the effects of the kinematical hypotheses relative to the MA. These comparisons are made on periodic microstructures (simple and involved) satisfying the MA geometrical schematisation, for hyperelastic ant viscohyperelastic constituents. Some advantages and weaknesses to be improved are highlighted. Finally, a transversal program aiming at confronting MA estimates to experimental and FE results on a real propellant is elaborated and applied to a real energetic composite. Each step –experimental tests on the composite and its phases, morphological characterisation via tomography, automatic FE meshing of real microstructure, determination of the RVE (a few hundred of grains) relative to both methods (MA and FE)– is detailed. Thanks to multiple confrontations between experimental results and first numerical results (MA and FE), prospective works are presented.
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Submitted on : Sunday, January 31, 2010 - 8:10:12 PM
Last modification on : Wednesday, October 20, 2021 - 3:22:12 AM
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Marion Touboul. Approche multi-échelles morphologique et directe pour une classe de composites particulaires fortement chargés hyperélastiques et visco-hyperélastiques.. Sciences de l'ingénieur [physics]. ISAE-ENSMA Ecole Nationale Supérieure de Mécanique et d'Aérotechique - Poitiers, 2007. Français. ⟨tel-00451829⟩

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