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00925njm 22002777a 4500 dc Shavlakadze, Nugzar author Odishelidze, Nana author Criado-Aldeanueva, Francisco author 2020-06-30 The problem of constructing an exact solution of singular integro-differential equations related to problems of adhesive interaction between elastic thin semi-infinite homogeneous patch and elastic plate is investigated. For the patch loaded with horizontal forces the usual model of the uniaxial stress state is valid. Using the methods of the theory of analytic functions and integral transformation, the singular integro-differential equation is reduced to the Riemann boundary value problem of the theory of analytic functions. The exact solution of this problem and asymptotic estimates of tangential contact stresses are obtained. Shavlakadze, N., Odishelidze, N. & Criado-Aldeanueva, F. Exact solutions of some singular integro-differential equations related to adhesive contact problems of elasticity theory. Z. Angew. Math. Phys. 71, 115 (2020). https://doi.org/10.1007/s00033-020-01350-4 https://hdl.handle.net/10630/31209 10.1007/s00033-020-01350-4 Problemas de contorno Cálculo operacional Elasticidad Exact solutions of some singular integro-differential equations related to adhesive contact problems of elasticity theory.