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

Vlasov, A. N.; Vlasov, D. A.; Kovalenko, M. D.

doi:10.7868/S3034575825020105

PII

S3034575825020105-1

DOI

10.7868/S3034575825020105

Publication type

Article

Status

Published

Authors

A. N. Vlasov

Affiliation: Institute of Applied Mechanics, Russian Academy of Sciences

D. A. Vlasov

Affiliation: Moscow State University of Civil Engineering (National Research University)

M. D. Kovalenko

Affiliation: Institute of Applied Mechanics, Russian Academy of Sciences

Volume/ Edition

Volume 89 / Issue number 2

Pages

348-368

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.

Keywords

свая массив точное решение численное решение поправочный коэффициент

Date of publication

01.04.2025

Year of publication

2025

Number of purchasers

Views

References

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6. Прудников А.П., Брычков Ю.А., Маричев О.И. Интегралы и ряды. Специальные функции. М.: Физматлит, 2003. 664 с.

GOST	Kovalenko M., Vlasov A., Vlasov D. Half-Plane with a One-Dimensional Semi-Infinite Stiffener: Application to Solving the Problem of Pile-Rock Interaction // Journal of Applied Mathematics and Mechanics. – 2025. – V. 89. – Issue number 2 C. 348-368 . URL: https://pmmras.ru/s3034575825020105-1/?version_id=109033. DOI: 10.7868/S3034575825020105
MLA	Kovalenko, M. D, Vlasov, A. N, Vlasov, D. A "Half-Plane with a One-Dimensional Semi-Infinite Stiffener: Application to Solving the Problem of Pile-Rock Interaction." Journal of Applied Mathematics and Mechanics. 89.2 (2025).:348-368. DOI: 10.7868/S3034575825020105
APA	Kovalenko M., Vlasov A., Vlasov D. (2025). Half-Plane with a One-Dimensional Semi-Infinite Stiffener: Application to Solving the Problem of Pile-Rock Interaction. Journal of Applied Mathematics and Mechanics. vol. 89, no. 2, pp.348-368 DOI: 10.7868/S3034575825020105

RAS Energy, Mechanics & ControlПрикладная математика и механика Journal of Applied Mathematics and Mechanics

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

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References

Индексирование

RAS Energy, Mechanics & ControlПрикладная математика и механика Journal of Applied Mathematics and Mechanics

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

You can

References

Индексирование

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