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Simplification of the (n+1)-phase model and its extension to non linear behavior

Abstract : 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 Castañeda 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.
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Submitted on : Monday, October 2, 2017 - 2:11:48 PM
Last modification on : Thursday, September 24, 2020 - 6:30:07 PM

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Eveline Hervé-Luanco. Simplification of the (n+1)-phase model and its extension to non linear behavior. International Journal of Solids and Structures, Elsevier, 2017, 121, pp.135-147. ⟨10.1016/j.ijsolstr.2017.05.021⟩. ⟨hal-01599706⟩

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