Using Boundary Transform Method to Solve Geotechnical Problems with Mixed-Type Boundary Conditions
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 148, Issue 12
Abstract
In geotechnical engineering, mixed-type boundary problems cannot be solved directly by the integral transform method due to the diversity of boundary conditions. In view of this, the relationships between different boundaries are figured out from the perspectives of physical meaning and mathematical derivation. A novel boundary transform method is then proposed to transform a complex mixed-type boundary into a simple one, and the transform rules for different types of boundaries are graphically presented. Subsequently, the procedures to solve geotechnical problems with mixed-type boundaries are comprehensively elaborated. The application of the proposed boundary transform method for a two-dimensional steady flow problem with mixed-type boundaries is systemically considered. The results show that the boundary transform method can effectively deal with mixed-type boundary problems, rendering accurate solutions when compared with numerical analyses.
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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 financial supports from the National Natural Science Foundation of China (51878185, 52078506, and 52178321), the Initial Scientific Research Foundations of Hainan University [KYQD(ZR)-22044], and the Guangxi Scientific and Technological Base and Talent Foundation (2021AC18008) are gratefully acknowledged. The authors also gratefully acknowledge the valuable contributions of Dr. Sujith Mangalathu, who improved the structure and the readability of the final draft of the manuscript.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 148 • Issue 12 • December 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jul 6, 2021
Accepted: Jul 18, 2022
Published online: Oct 13, 2022
Published in print: Dec 1, 2022
Discussion open until: Mar 13, 2023
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