Abstract
A theoretical model for the evaluation of the elastic modulus in particulate composites has been developed. The method takes into account the existence of a mesophase between main phases, which constitutes an important parameter influencing the behaviour of a composite material. This layer between the matrix and filler develops different physico-chemical properties from those of the constituent phases and variable ones along its thickness. The effect of the progressive variation of the elastic modulus of the mesophase on the modulus of the composite was estimated by applying various simple laws of variation. Convenient laws of variation were introduced, varying from a simple one, assuming a linear law, to a more refined one using a parabolic law. Experimental results with particulates, based on iron-filled epoxy composites, compared satisfactorily with other models. However, the model based on a parabolic law was superior to all others on physical grounds.
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Abbreviations
- E :
-
elastic modulus
- v :
-
Poisson's ratio
- υ :
-
volume fraction
- r :
-
radius
- V :
-
volume
- K :
-
bulk modulus
- Δr :
-
thickness of mesophase
- λ :
-
parameter which depends on the sudden changes of the heat capacity for the filled and unfilled polymerΔ C f p andΔ C 0 p
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Sideridis, E., Theocaris, P.S. & Papanicolaou, G.C. The elastic modulus of particulate composites using the concept of a mesophase. Rheol Acta 25, 350–358 (1986). https://doi.org/10.1007/BF01331505
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DOI: https://doi.org/10.1007/BF01331505