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Abstract

In this paper the plane strain problem concerned with shearing stresses along the fiber-matrix interface due to a fracture of the adjacent fiber is solved anew based on Mindlin's strain-gradient theory of linear elasticity. Classical method of selecting proper stress functions and determining superposition constants to satisfy all homogeneous boundary conditions is used to obtain the auxiliary solution for the problem. Applying a Fourier integral transformation to the auxiliary solution both homogeneous and non-homogeneous boundary conditions are simultaneously satisfied. The exact solu tion is thus obtained in integral form. Numerical results of the solution for some selected elastic constants have been worked out and compared with results previously obtained based on classical theory and couple-stress theory.

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