Simplification of the (n+1)-phase model and its extension to non linear behavior. (15th August 2017)

• Record Type: Journal Article
• Authors: Hervé-Luanco, E.
• Is Part Of: International journal of solids and structures. Volume 121(2017)
• Page Start: 135
• Page End: 147
• Publication Date: 2017-08-15
• Subjects: Micromechanical models -- n-layered inclusion problem -- Morphologically Representative Pattern -- Non linear behavior -- Generalized self-consistent schemes -- Porous media -- Modified secant approach; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2017.05.021
• Languages: English
• ISSNs: 0020-7683

Abstract

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.