Summary
An asymptotic approach is proposed to describe the load-transfer from a single fibre to an anisotropic half-space through weak and stiff interfaces. To start with we simplified the input boundary value problem using ratios of the elastic constants as small parameters. The simplified boundary value problem is solved using integral transforms. Inverse transforms are approximately expressed through elementary and special functions. 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 a linear elastic response in the working-load range.
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Andrianov, I.V., Danishevs’kyy, V.V. & Weichert, D. Load-transfer from fibre to anisotropic half-space for dilute composites. Acta Mech 200, 69–78 (2008). https://doi.org/10.1007/s00707-007-0540-y
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DOI: https://doi.org/10.1007/s00707-007-0540-y