Shear lag models for stress transfer from an elastic matrix to a fibre in a composite material
by K.L. Goh, R.M. Aspden, D.W.L. Hukins
International Journal of Materials and Structural Integrity (IJMSI), Vol. 1, No. 1/2/3, 2007

Abstract: A differential equation describes the average axial stress, σ_f, as a function of length, in a fibre surrounded by an elastic matrix. Expressions for σf and the shear stress between the fibre and the matrix, τ, as a function of length, are solutions to this differential equation. This paper compares the general solution with expressions for σ_f and τ given by Cox, Nairn and Rosen. Solutions for σ_f and τ have the same form in all three models. Expressions for σ_f and τ with the same form given by Cox can be derived without the need to invoke fibre-fibre interactions.

Online publication date: Thu, 31-May-2007

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