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

封面

如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅或者付费存取

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.

全文:

受限制的访问

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.
  2. Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Integrals and Series. Vol. 1. Elementary Functions. N.Y.: Gordon&Breach Sci. Pub., 1986. 798 p.
  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.

补充文件

附件文件
动作
1. JATS XML
下载
2. Fig.1.

下载 (141KB)
索引源数据
3. Fig. 2.

下载 (183KB)
索引源数据
4. Fig. 3.

下载 (174KB)
索引源数据
5. Fig. 4.

下载 (27KB)
索引源数据
6. Fig. 5. Distribution of shear stresses at x = 0.125, K = 0.25, D = 3.9

下载 (26KB)
索引源数据
7. Fig. 6. Distribution of shear stresses at x = 0.125, K = 0.25, D = 8

下载 (27KB)
索引源数据
8. Fig. 7. Distribution of shear stresses at x = 0.125, K = 0.25, D = 16

下载 (30KB)
索引源数据
9. Fig. 8. Distribution of shear stresses at x = 0.125, K = 0.25, D = 40

下载 (29KB)
索引源数据
10. Fig. 9. Distribution of normal stresses in a pile at K = 0.125, D = 3.9

下载 (33KB)
索引源数据
11. Fig. 10. Distribution of normal stresses in a pile at K = 0.125, D = 8

下载 (34KB)
索引源数据
12. Fig. 11. Distribution of normal stresses in a pile at K = 0.125, D = 16

下载 (34KB)
索引源数据
13. Fig. 12. Distribution of normal stresses in a pile at K = 0.125, D = 40

下载 (35KB)
索引源数据
14. Fig. 13. Pile settlement at R = 0.125, D = 3.9

下载 (32KB)
索引源数据
15. Fig. 14. Pile settlement at R = 0.125, D = 8

下载 (32KB)
索引源数据
16. Fig. 15. Pile settlement at R = 0.125, D = 16

下载 (31KB)
索引源数据
17. Fig. 16. Pile settlement at R = 0.125, D = 20

下载 (31KB)
索引源数据

版权所有 © Russian Academy of Sciences, 2025