The plane contact problem of the transfer of a horizontal load from a weakly inhomogeneous infinite stringer to a prestressed elastic strip clamped at one edge is solved using the linearized theory of elasticity. The solution has a general form for the theory of large initial deformations and different theories of small initial deformations for an arbitrary elastic potential. The problem for the normal and tangential contact stresses is reduced to a governing system of recurrent systems of integro-differential equations, which is solved in powers of a small parameter. The zero-order approximation of the inhomogeneous problem is derived using the Fourier transform. The contact stresses are represented by Fourier integrals.
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Translated from Prikladnaya Mekhanika, Vol. 56, No. 6, pp. 69–78, November–December 2020.
This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).
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Babich, S.Y., Dikhtyaruk, N.N. Load Transfer from an Infinite Inhomogeneous Stringer to a Prestressed Elastic Strip Clamped at One Edge*. Int Appl Mech 56, 708–716 (2020). https://doi.org/10.1007/s10778-021-01047-9
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DOI: https://doi.org/10.1007/s10778-021-01047-9