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

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详细

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.

作者简介

A. Vlasov

Institute of Applied Mechanics, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: bah1955@yandex.ru
俄罗斯联邦, Moscow

D. Vlasov

Moscow State University of Civil Engineering (National Research University)

Email: vlasov.daniil1994@gmail.com
俄罗斯联邦, Moscow

M. Kovalenko

Institute of Applied Mechanics, Russian Academy of Sciences

Email: kov08@inbox.ru
俄罗斯联邦, Moscow

参考

  1. Carter J.P., Kulhawy F.H. Analysis and Design of Drilled Shaft Foundations Socketed into Rock. Final Report No. EL-5918. Palo Alto: Electric Power Res. Inst., 1988. 190 p.
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  3. Ketch V., Teodorescu P. Introduction to the Theory of Generalized Functions with Applications in Engineering. N.Y.: Wiley, 1978.
  4. Matrosov A.V., Kovalenko M.D., Menshova I.V., Kerzhaev A.P. Method of initial functions and integral Fourier transform in some problems of the theory of elasticity // Z. Angew. Math. Phys, 2020, vol. 71, no. 1, art. 24, 19 p.
  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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