Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 121, Issue -, Pages 135-147Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2017.05.021
Keywords
Micromechanical models; n-layered inclusion problem; Morphologically Representative Pattern; Non linear behavior; Generalized self-consistent schemes; Porous media; Modified secant approach
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The proposed paper is a procedure aimed to predict the overall behavior of non linear n-layered inclusion-reinforced materials from the behavior of their constituents. For that purpose, the homogenization technic relies on the concept of Morphologically Representative Pattern (M.R.P). The M.R.P used in this paper is a n-phase composite sphere. The modified method based on the second-order moment of the strain field presented by P. Ponte Castanda and P. Suquet has been used here. The three main points of this paper are, on the one hand, a revisit of the (n+1)-phase model and, on the other hand, the derivation of the second-order moment of the strain field in the particular case of the Generalized Self Consistent Scheme named (n+1)-phase model and its use to predict the behavior of composite materials made of inclusions embedded in a non linear matrix. (C) 2017 Elsevier Ltd. All rights reserved.
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