An Improved Model based on a Fracture Mechanics Approach

An improved model based on a fracture mechanics approach 

In the bonded region - L - ) z (T - )), the applied stress is transferred from the matrix to the fiber through the IFSS, Ti(a,z), such that the equilibrium condition can be obtained by combining Eqs. (4.11) and (4.12) as 

Since the matrix shear stress, t( (/-,z), has to be compatible with IFSS, Tj(a,z), and the matrix cylindrical surface is stress free (Zhou et al. 1993) 

An additional radial stress, i(a,z), acts at the interface that arises from the differential Poisson contraction between the fiber and the matrix when the matrix is subjected to an axial tension at remote ends. q (a,z) is obtained from the continuity of tangential strain at the interface (i.e. e (a,z) = e (a,z)) (Gao et al., 1988) 

In the debonded regions L z - (L - ) and (L - ) ,z L), frictional slip occurs between the fiber and matrix and the stress transfer is governed by the Coulomb friction law for a constant coefficient of friction, p 

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