Vlasov–Leont’ev Foundation Model for the Dynamic Analysis of a Laterally Loaded Pile in Homogeneous Viscoelastic Soil
Publication: Journal of Engineering Mechanics
Volume 149, Issue 9
Abstract
The Vlasov–Leont’ev foundation model describes the soil displacement field as a product of separable functions and utilizes the calculus of variation to obtain the governing differential equations describing the motion of the structure/substructure and the soil. In this paper, the model is employed to solve a lateral pile dynamics (in a homogeneous linear viscoelastic soil) problem. The step-by-step formulation is demonstrated, and the results obtained are compared with existing formulations (Winkler-, cone-, approximate continuum–, and rigorous continuum–based formulations) having varying degrees of rigor and accuracy in the literature. The comparison is performed to evaluate the applicability of the present formulation for two class of problems (theories): half-space and soil stratum on a rigid base. It is found that the present formulation is applicable to problems in which the pile is embedded in a soil stratum on a rigid base (relevant to practice). Further, from the comparative results, discussions on the accuracy, computational efficiency, and ability to capture the mechanics of a laterally loaded pile–soil interaction problem are also provided. The advantages and limitations of the formulations are also included in the paper.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The author acknowledges the resources from IIT Kanpur during this research.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 9 • September 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Oct 2, 2022
Accepted: Mar 17, 2023
Published online: Jun 17, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 17, 2023
ASCE Technical Topics:
- Continuum mechanics
- Dynamic loads
- Dynamic models
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Foundations
- Geomechanics
- Geotechnical engineering
- Lateral loads
- Materials characterization
- Materials engineering
- Models (by type)
- Pile foundations
- Rheology
- Soil analysis
- Soil dynamics
- Soil mechanics
- Soil properties
- Solid mechanics
- Structural dynamics
- Structural models
- Viscoelasticity
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