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Modeling pressure pipe embedded in two-layer soil by a half-plane BEM
Institution:1. Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, Shandong Province, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, PR China;1. Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, PR China;3. Slovak Academy of Sciences, Institute of Construction and Architecture, 84503 Bratislava, Slovakia;1. Department of Mathematics, 368 Kidder Hall, Oregon State University, Corvallis, OR 97330, USA;2. Department of Mathematics, 328 Natural Sciences Building, University of Louisville, Louisville, KY 40292, USA;3. Department of Mathematics, University of California, Riverside, 900 University Ave, Riverside, CA 92521, USA;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;2. School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, China;1. NASA Langley Research Center, United States;2. National Institute of Aerospace, United States;3. The University of Southern Mississippi, United States
Abstract:In this paper, an elastostatic half-plane boundary element method (BEM) formulation was applied to analyze the stress behavior of underground pressure pipes, embedded in two-layer soils. In the use of this method, only the boundary of pipe and interfaces were required to be discretized. In this regard, first, a computer code was prepared based on a multi-region substructuring process in the BEM scheme. Then, the efficiency and applicability of the method as well as the prepared algorithm were verified by solving some practical examples and comparing the results with those of the published works. Finally, a parametric study was done to evaluate the effect of pipe depth and determine the soil stress distribution. The studies showed that the half-plane BEM was in good agreement with the existing solutions and its capability was very favorable for elastostatic problems including semi-infinite domain. It is obvious that this method can be practically used to analyze the geotechnical underground buildings in substituting the full-plane BEM formulation.
Keywords:Half plane BEM  Lining  Two layers soil  Embedded pipe  Stress analysis
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