Title: Direct multiscale 'morphological approach' for non-linear highly-filled particulate composites: theory and applications

Authors: Carole Nadot-Martin; Damien Halm; Sophie Dartois; Marion Touboul; André Dragon; Alain Fanget

Addresses: Physics and Mechanics of Materials Department, Pprime Institute (UPR 3346), CNRS – ENSMA – University of Poitiers, ENSMA, Téléport 2, 1 Avenue Clément Ader, BP 40109, F-86961 Futuroscope-Chasseneuil Cedex, France ' Physics and Mechanics of Materials Department, Pprime Institute (UPR 3346), CNRS – ENSMA – University of Poitiers, ENSMA, Téléport 2, 1 Avenue Clément Ader, BP 40109, F-86961 Futuroscope-Chasseneuil Cedex, France ' Institut Jean le Rond d'Alembert, UPMC Univ Paris 06, UMR 7190, F-75005 Paris, France ' Physics and Mechanics of Materials Department, Pprime Institute (UPR 3346), CNRS – ENSMA – University of Poitiers, ENSMA, Téléport 2, 1 Avenue Clément Ader, BP 40109, F-86961 Futuroscope-Chasseneuil Cedex, France ' Physics and Mechanics of Materials Department, Pprime Institute (UPR 3346), CNRS – ENSMA – University of Poitiers, ENSMA, Téléport 2, 1 Avenue Clément Ader, BP 40109, F-86961 Futuroscope-Chasseneuil Cedex, France ' Laboratoire des Matériaux Soumis à des Agressions, Commissariat à l'Energie Atomique, Centre d'Etudes de Gramat, F-46500 Gramat, France

Abstract: The paper presents a non-classical multiscale framework, called 'morphological approach' (MA), we have developed for some ten years for modelling the non-linear behaviour of highly-filled composites such as propellants. The latest advances regarding finite strain behaviour of the sound material and also damage by interface debonding are synthesised. Numerical examples are proposed. For the undamaged material, a periodic microstructure is used to illustrate the MA ability to deal with finite strain viscoelasticity and underlying challenges in a direct manner. Regarding damage modelling, the works by Nadot et al. (2006) for a fixed damage state, and by Dartois et al. (2013) for damage evolution, are presented and discussed. Numerical application for a random microstructure containing 351 particles allows exemplifying how the progressive microstructural damage events may be followed in the MA framework and linked to the macroscopic response under loading.

Keywords: scale transition; propellants; interface debonding; anisotropy; viscohyperelasticity; unilateral effects; damage modelling; nonlinear behaviour; highly-filled composites; strain behaviour; microstructure; microstructural damage.

DOI: 10.1504/IJMSI.2013.055108

International Journal of Materials and Structural Integrity, 2013 Vol.7 No.1/2/3, pp.109 - 130

Available online: 16 Jul 2013 *

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