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

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.

Authors

Publication Details

Journal
Прикладная математика и механика / Journal of Applied Mathematics and Mechanics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034575825020105
Primary Topic
Geotechnical and Geomechanical Engineering
Type
article
Field-Weighted Citation Impact
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article

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

А. Н. Власов
Прикладная математика и механика / Journal of Applied Mathematics and Mechanics
Geotechnical and Geomechanical Engineering
article

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

А. Н. Власов
article en

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.

Прикладная математика и механика / Journal of Applied Mathematics and MechanicsVol. 89(2)
Openalex Percentile: Top 69%
Geotechnical and Geomechanical Engineering
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Half-Plane with a One-Dimensional Semi-Infinite Stiffener: Application to Solving the Problem of Pile-Rock Interaction — А. Н. Власов · Прикладная математика и механика / Journal of Applied Mathematics and Mechanics (2025) | TGRS Research Map | TGRS