Stress Transfer Model for Single Fibre and Platelet Composites

Abstract

A model for elastic stress transfer across the interface in composites has been developed in particular to overcome the known problem of the matrix effective radius. Stresses were determined using a two dimensional method by introducing a novel hypothesis of structural response of the matrix. This is in contrast to previous approaches, which mainly consider that the axial derivative of axial stress does not depend upon the radius. This leads to a new form of the stress transfer equation, free of an adjustable parameter. This analysis was applied to linear elastic single fibre and single platelet composites. The comparison of the two reinforcements allowed the identification of a structural parameter for which the two geometries are shown to be equivalent. The model was validated using literature results obtained by Raman spectroscopy means or photo-elastic methods. The agreement between measured data and the model showed the relevance of the matrix structural response approach to stress transfer.

Asymmetric microcellular composites: Mechanical properties and modulus prediction

“…In addition, this model can be combined with other models developed to predict mechanical properties of composites: rule of mixtures, inverse rule of mixtures, Halpin-Tsai equation, 72 Nairn’s generalized shear-lag analysis, 73 Mendels et al. 74 stress transfer model. Properties such as elastic modulus, Poisson’s ratio, and the relative volume fractions of both fiber and matrix as well as fiber aspect ratio and orientation are the parameters used to predict the properties of the composites.…”

“…38 As explained in the first part of this study, 38 this model has been developed for foamed composites based on HDPE and FF, but can also be used to predict the mechanical moduli of other matrices and fibers such as polystyrene/agave fiber 69 and polypropylene/carbon fiber 70,71 composites foams. In addition, this model can be combined with other models developed to predict mechanical properties of composites: rule of mixtures, inverse rule of mixtures, Halpin-Tsai equation, 72 Nairn's generalized shear-lag analysis, 73 Mendels et al 74 stress transfer model. Properties such as elastic modulus, Poisson's ratio, and the relative volume fractions of both fiber and matrix as well as fiber aspect ratio and orientation are the parameters used to predict the properties of the composites.…”

Application of Mechanical Models to Flax Fiber /Wood Fiber/ Plastic Composites

“…Some commonly used models for mechanical properties are the rule of mixtures (ROM), the inverse rule of mixtures (IROM), the Hirsch model, the Cox model, the Halpin-Tsai model, and the Kelly-Tyson model. In addition, the Bowyer-Bader model, the MoriTanaka model, the composite cylinder assemblage (CCA) model, the Levin model, the shear-lag model, the Hashin-Rosen model, the Weibull distribution model, and others have also been used in research work (Kelly and Tyson 1965;Hill 1965;Takao et al 1982;Chen and Cheng 1996;Hashin and Rosen 1964;Hashin 1979;Levin 1967;Nairn 1997;Mendels et al 1999). These models have been proposed in order to model the mathematical properties of composite materials in terms of various parameters (Kalaprasad et al 1997).…”

Models for saturation damage state and interfacial shear strengths in multilayer coatings

“…In this case, the interfacial shear strength (IFSS, representative of practical adhesion) can be derived from an interfacial stress transfer analysis. Solutions for elastic stress transfer at interfaces in multiphase materials were derived using shear-lag (Cox, 1952;Mendels et al, 1999;Nairn, 1997) and variational methods (Hashin and Shtrikman, 1963;Nairn, 1992). The case of yielded interfaces was considered since in practice the interfacial shear stress may reach the yield limit (Kelly and Tyson, 1965).…”