Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis
The flat-top partition of unity method can obtain a stiffness matrix with a small condition number and avoid the linear dependence problem. We aimed to extend the flat-top partition of unity method to rock dynamic analyses to simulate the influence of discontinuity and dynamic loading. Therefore, th...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| Online Access: | https://hdl.handle.net/10356/90248 http://hdl.handle.net/10220/48468 |
| _version_ | 1826119461492490240 |
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| author | Liu, Xiaoying Zhao, Zhiye |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Liu, Xiaoying Zhao, Zhiye |
| author_sort | Liu, Xiaoying |
| collection | NTU |
| description | The flat-top partition of unity method can obtain a stiffness matrix with a small condition number and avoid the linear dependence problem. We aimed to extend the flat-top partition of unity method to rock dynamic analyses to simulate the influence of discontinuity and dynamic loading. Therefore, the flat-top partition of unity method was coupled with the discontinuous deformation analysis. In this paper, after the presentation of the mesh construction, the inertia force and contact algorithm for flat-top partition of unity-based discontinuous deformation analysis, several numerical examples are presented to verify the accuracy and efficiency of the method. |
| first_indexed | 2024-10-01T05:00:42Z |
| format | Journal Article |
| id | ntu-10356/90248 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:00:42Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/902482021-02-11T03:34:51Z Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis Liu, Xiaoying Zhao, Zhiye School of Civil and Environmental Engineering Discontinuous Deformation Analysis DRNTU::Engineering::Civil engineering Flat-top Partition Of Unity The flat-top partition of unity method can obtain a stiffness matrix with a small condition number and avoid the linear dependence problem. We aimed to extend the flat-top partition of unity method to rock dynamic analyses to simulate the influence of discontinuity and dynamic loading. Therefore, the flat-top partition of unity method was coupled with the discontinuous deformation analysis. In this paper, after the presentation of the mesh construction, the inertia force and contact algorithm for flat-top partition of unity-based discontinuous deformation analysis, several numerical examples are presented to verify the accuracy and efficiency of the method. Accepted version 2019-05-29T09:07:33Z 2019-12-06T17:43:59Z 2019-05-29T09:07:33Z 2019-12-06T17:43:59Z 2018 Journal Article Liu, X., & Zhao, Z. (2018). Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis. Computers and Geotechnics, 98, 35-47. doi:10.1016/j.compgeo.2018.01.019 0266-352X https://hdl.handle.net/10356/90248 http://hdl.handle.net/10220/48468 10.1016/j.compgeo.2018.01.019 en Computers and Geotechnics Computers and Geotechnics © 2018 Elsevier Ltd. All rights reserved. This paper was published in Computers and Geotechnics and is made available with permission of Elsevier Ltd. 25 p. application/pdf |
| spellingShingle | Discontinuous Deformation Analysis DRNTU::Engineering::Civil engineering Flat-top Partition Of Unity Liu, Xiaoying Zhao, Zhiye Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis |
| title | Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis |
| title_full | Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis |
| title_fullStr | Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis |
| title_full_unstemmed | Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis |
| title_short | Dynamic analysis with flat-top partition of unity-based discontinuous deformation analysis |
| title_sort | dynamic analysis with flat top partition of unity based discontinuous deformation analysis |
| topic | Discontinuous Deformation Analysis DRNTU::Engineering::Civil engineering Flat-top Partition Of Unity |
| url | https://hdl.handle.net/10356/90248 http://hdl.handle.net/10220/48468 |
| work_keys_str_mv | AT liuxiaoying dynamicanalysiswithflattoppartitionofunitybaseddiscontinuousdeformationanalysis AT zhaozhiye dynamicanalysiswithflattoppartitionofunitybaseddiscontinuousdeformationanalysis |