NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology
In this paper, we present an integration subtraction technique to model holes interactively in a predesigned domain for adaptive problems. This technique involves two approaches, the normal subtraction technique and the moving subtraction technique. In the basic normal subtraction technique, the pre...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/7/2587 |
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| author | Yunzhen Liu Zhiqiang Wan Chao Yang Xiaozhe Wang |
| author_facet | Yunzhen Liu Zhiqiang Wan Chao Yang Xiaozhe Wang |
| author_sort | Yunzhen Liu |
| collection | DOAJ |
| description | In this paper, we present an integration subtraction technique to model holes interactively in a predesigned domain for adaptive problems. This technique involves two approaches, the normal subtraction technique and the moving subtraction technique. In the basic normal subtraction technique, the predesigned domain can be meshed using any methods as an initial integration background cell for meshfree analysis. Holes are described using closed non-uniform rational B-spline (NURBS) curves to preserve the exact computer-aided design (CAD) geometry and are meshed alone using the homotopic method, so they can easily be subtracted from the predesigned domain with no refinement. On the other hand, when the hole size is varying, the moving subtraction technique, in which only the changing part between the new and old boundaries needs to be integrated and subtracted, is more efficient. Compared with the standard radial point interpolation method (RPIM) and finite element method (FEM) in three linear elastic examples with different holes, the excellent accuracy and good efficiency of the proposed method are demonstrated, and its feasibility in complex topology problems is verified. |
| first_indexed | 2024-03-10T20:34:46Z |
| format | Article |
| id | doaj.art-9273d184c08a452ea7e11e7bb2e7aeb6 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T20:34:46Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-9273d184c08a452ea7e11e7bb2e7aeb62023-11-19T21:08:11ZengMDPI AGApplied Sciences2076-34172020-04-01107258710.3390/app10072587NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex TopologyYunzhen Liu0Zhiqiang Wan1Chao Yang2Xiaozhe Wang3School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, ChinaSchool of Aeronautic Science and Engineering, Beihang University, Beijing 100191, ChinaSchool of Aeronautic Science and Engineering, Beihang University, Beijing 100191, ChinaInstitute of Unmanned System, Beihang University, Beijing 100191, ChinaIn this paper, we present an integration subtraction technique to model holes interactively in a predesigned domain for adaptive problems. This technique involves two approaches, the normal subtraction technique and the moving subtraction technique. In the basic normal subtraction technique, the predesigned domain can be meshed using any methods as an initial integration background cell for meshfree analysis. Holes are described using closed non-uniform rational B-spline (NURBS) curves to preserve the exact computer-aided design (CAD) geometry and are meshed alone using the homotopic method, so they can easily be subtracted from the predesigned domain with no refinement. On the other hand, when the hole size is varying, the moving subtraction technique, in which only the changing part between the new and old boundaries needs to be integrated and subtracted, is more efficient. Compared with the standard radial point interpolation method (RPIM) and finite element method (FEM) in three linear elastic examples with different holes, the excellent accuracy and good efficiency of the proposed method are demonstrated, and its feasibility in complex topology problems is verified.https://www.mdpi.com/2076-3417/10/7/2587NURBSmeshfreeintegration subtractionisogeometric analysiscomplex topology |
| spellingShingle | Yunzhen Liu Zhiqiang Wan Chao Yang Xiaozhe Wang NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology Applied Sciences NURBS meshfree integration subtraction isogeometric analysis complex topology |
| title | NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology |
| title_full | NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology |
| title_fullStr | NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology |
| title_full_unstemmed | NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology |
| title_short | NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology |
| title_sort | nurbs enhanced meshfree method with an integration subtraction technique for complex topology |
| topic | NURBS meshfree integration subtraction isogeometric analysis complex topology |
| url | https://www.mdpi.com/2076-3417/10/7/2587 |
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