Half-Plane with a One-Dimensional Semi-Infinite Stiffener: Application to Solving the Problem of Pile–Rock Interaction

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Abstract

An exact solution to an elastic boundary value problem is constructed for a half-plane with a one-dimensional, semi-infinite stiffener perpendicular to its straight boundary. A point force is applied at the top of the stiffener. This solution is compared with a numerical simulation of a finite-length pile using three-dimensional finite element (FE) analysis. By applying correction factors, the transition from a two-dimensional problem to a three-dimensional one is achieved in the analytical solution.

About the authors

A. N. Vlasov

Institute of Applied Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: bah1955@yandex.ru
Russian Federation, Moscow

D. A. Vlasov

Moscow State University of Civil Engineering (National Research University)

Email: vlasov.daniil1994@gmail.com
Russian Federation, Moscow

M. D. Kovalenko

Institute of Applied Mechanics, Russian Academy of Sciences

Email: kov08@inbox.ru
Russian Federation, Moscow

References

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  5. Lebedev N.N. Special Functions and Their Applications. N.Y.: Dover, 1972. 308 p.
  6. Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Integrals and Series. Vol. 2. Special Functions. N.Y.: Gordon&Breach Sci. Pub., 1986. 756 p.

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