A multiscale (visco)-hyperelastic modelling for particulate composites

The aim of this work is to pursue, in the wake of the paper Martin, C., Dragon, A., Trumel, H., 1999. Mechanics Research Communications 26, 327], a non-classical micromechanical study and scale transition for highly filled particulate composites with a viscoelastic matrix. The present extension of a morphologically-based approach due to Christoffersen Christoffersen, J., 1983. J. Mech. Phys. Solids 31, 55] carried forward to viscoelastic small strain context by Martin et al. Martin, C., Dragon, A., Trumel, H., 1999. Mechanics Research Communications 26, 327], Nadot-Martin et al. Nadot-Martin, C., Trumel, H., Dragon, A., 2003. Eur. J. Mech. A/Solids 22, 89], consists in introducing large strain (visco)-hyperelastic behaviour of the constituents (notably the matrix). The form of a local problem is analytically stated for compressive constituents. Numerical simulation for simplified hyperelastic behaviour and regular microstructure, employing different grain/matrix contrast parameters, is discussed in order to illustrate salient features of the advanced approach.