Load-transfer from fibres to a transversally isotropic layer for non-dilute composites

An asymptotic approach is proposed to describe the load-transfer from a periodical system of fibres to a transversally isotropic elastic layer. To start with we simplified the input boundary value problem by using ratios of the elastic constants as small parameters. The interactions between neighbouring fibres are predicted using the composite cylinder assemblage model. The simplified boundary value problem is solved using finite integral transforms. The inverse transforms are expressed through the elementary and special functions. We also analysed the interface between the fibres and the matrix. The obtained results can be used for the investigation of the fracture of composites. In Civil Engineering, the proposed solution can describe the behaviour of piles or piers embedded in soil media that exhibit linear elastic response in the working-load range.