Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics
Abstract Based on a review of the fundamental principles of the Newmark sliding displacement method, this paper proposes an improved approach based on the upper bound solution of plastic mechanics, drawing on the theory of Academician Zuyu Chen, which states that “during a given time period t, whene...
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Nature Portfolio
2025-04-01
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| Online Access: | https://doi.org/10.1038/s41598-025-94895-1 |
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| author | Pengxu Jing Wenbo Zheng Li Li Baokun Ning Mingyong Lu Qingyi Yang Yanyun Nan Jing Li Yifan Xu Jingjing Liu |
| author_facet | Pengxu Jing Wenbo Zheng Li Li Baokun Ning Mingyong Lu Qingyi Yang Yanyun Nan Jing Li Yifan Xu Jingjing Liu |
| author_sort | Pengxu Jing |
| collection | DOAJ |
| description | Abstract Based on a review of the fundamental principles of the Newmark sliding displacement method, this paper proposes an improved approach based on the upper bound solution of plastic mechanics, drawing on the theory of Academician Zuyu Chen, which states that “during a given time period t, whenever velocity V > 0 occurs, the integration domain must be determined based on the varying distributions of acceleration a.” The improved Newmark program integrates four main categories and eight subcategories of conditions into its framework through C + + programming. By employing the inclined strip method to construct velocity fields, the program enables more precise calculations of permanent slope displacements. To validate the effectiveness and accuracy of the improved method, calculations were conducted on both ideal slope models and real-world slope models. For the ideal soil and rock slope models, the results from the improved Newmark program were consistent with those obtained using the pseudo-static method and commercial software, demonstrating its strong applicability and accuracy. Furthermore, normalized artificial seismic waves, the Loma Prieta earthquake wave, and the Wenchuan earthquake wave, each with varying amplification factors, were input into the actual slope model of a colluvial deposit at the C1 hydropower station in Tibet. A comparison of these results with existing data revealed that the improved Newmark program produced calculations that closely matched real-world observations. This further validates the method’s reliability and accuracy in practical applications. In conclusion, the improved Newmark program can more accurately calculate permanent displacements under seismic loads, which has far-reaching significance for the design and safety assessment of slope engineering. |
| format | Article |
| id | doaj-art-b5a20fbaf13a4295a0b3bb709b457251 |
| institution | OA Journals |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Nature Portfolio |
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| spelling | doaj-art-b5a20fbaf13a4295a0b3bb709b4572512025-08-20T02:11:46ZengNature PortfolioScientific Reports2045-23222025-04-0115112210.1038/s41598-025-94895-1Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanicsPengxu Jing0Wenbo Zheng1Li Li2Baokun Ning3Mingyong Lu4Qingyi Yang5Yanyun Nan6Jing Li7Yifan Xu8Jingjing Liu9College of Geology Engineering and Geomatics, Chang′an UniversityCollege of Geology Engineering and Geomatics, Chang′an UniversityInstitute of Geophysics, China Earthquake AdministrationKey Laboratory of Life Search and Rescue Technology for Earthquake and Geological Disaster, Ministry of Emergency ManagementKey Laboratory of Life Search and Rescue Technology for Earthquake and Geological Disaster, Ministry of Emergency ManagementCIECC (Beiing) Project Management Development Co., LtdKey Laboratory of Life Search and Rescue Technology for Earthquake and Geological Disaster, Ministry of Emergency ManagementKey Laboratory of Life Search and Rescue Technology for Earthquake and Geological Disaster, Ministry of Emergency ManagementKey Laboratory of Life Search and Rescue Technology for Earthquake and Geological Disaster, Ministry of Emergency ManagementKey Laboratory of Life Search and Rescue Technology for Earthquake and Geological Disaster, Ministry of Emergency ManagementAbstract Based on a review of the fundamental principles of the Newmark sliding displacement method, this paper proposes an improved approach based on the upper bound solution of plastic mechanics, drawing on the theory of Academician Zuyu Chen, which states that “during a given time period t, whenever velocity V > 0 occurs, the integration domain must be determined based on the varying distributions of acceleration a.” The improved Newmark program integrates four main categories and eight subcategories of conditions into its framework through C + + programming. By employing the inclined strip method to construct velocity fields, the program enables more precise calculations of permanent slope displacements. To validate the effectiveness and accuracy of the improved method, calculations were conducted on both ideal slope models and real-world slope models. For the ideal soil and rock slope models, the results from the improved Newmark program were consistent with those obtained using the pseudo-static method and commercial software, demonstrating its strong applicability and accuracy. Furthermore, normalized artificial seismic waves, the Loma Prieta earthquake wave, and the Wenchuan earthquake wave, each with varying amplification factors, were input into the actual slope model of a colluvial deposit at the C1 hydropower station in Tibet. A comparison of these results with existing data revealed that the improved Newmark program produced calculations that closely matched real-world observations. This further validates the method’s reliability and accuracy in practical applications. In conclusion, the improved Newmark program can more accurately calculate permanent displacements under seismic loads, which has far-reaching significance for the design and safety assessment of slope engineering.https://doi.org/10.1038/s41598-025-94895-1Newmark sliding displacement methodUpper-Bound solutionInclined strip methodSeismic slope stabilityPermanent displacement |
| spellingShingle | Pengxu Jing Wenbo Zheng Li Li Baokun Ning Mingyong Lu Qingyi Yang Yanyun Nan Jing Li Yifan Xu Jingjing Liu Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics Scientific Reports Newmark sliding displacement method Upper-Bound solution Inclined strip method Seismic slope stability Permanent displacement |
| title | Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics |
| title_full | Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics |
| title_fullStr | Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics |
| title_full_unstemmed | Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics |
| title_short | Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of plastic mechanics |
| title_sort | seismic slope permanent displacement calculation based on improved newmark model using upper bound solution of plastic mechanics |
| topic | Newmark sliding displacement method Upper-Bound solution Inclined strip method Seismic slope stability Permanent displacement |
| url | https://doi.org/10.1038/s41598-025-94895-1 |
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