Numerical manifold method based on isogeometric analysis
文献类型：期刊论文
| 作者 | Zhang YouLiang; Liu DengXue; Tan Fei |
| 刊名 | SCIENCE CHINA-TECHNOLOGICAL SCIENCES
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:9页码:1520-1532 |
| 关键词 | numerical manifold method (NMM) isogeometric analysis local refinement mathematical cover |
| ISSN号 | 1674-7321 |
| DOI | 10.1007/s11431-015-5900-6 |
| 英文摘要 | In this study, numerical manifold method (NMM) coupled with non-uniform rational B-splines (NURBS) and T-splines in the context of isogeometric analysis is proposed to allow for the treatments of complex geometries and local refinement. Computational formula for a 9-node NMM based on quadratic B-splines is derived. In order to exactly represent some common free-form shapes such as circles, arcs, and ellipsoids, quadratic non-uniform rational B-splines (NURBS) are introduced into NMM. The coordinate transformation based on the basis function of NURBS is established to enable exact integration for the manifold elements containing those shapes. For the case of crack propagation problems where singular fields around crack tips exist, local refinement technique by the application of T-spline discretizations is incorporated into NMM, which facilitates a truly local refinement without extending the entire row of control points. A local refinement strategy for the 4-node mathematical cover mesh based on T-splines and Lagrange interpolation polynomial is proposed. Results from numerical examples show that the 9-node NMM based on NURBS has higher accuracies. The coordinate transformation based on the NURBS basis function improves the accuracy of NMM by exact integration. The local mesh refinement using T-splines reduces the number of degrees of freedom while maintaining calculation accuracy at the same time. |
| WOS研究方向 | Engineering ; Materials Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000360935100005 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3757]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Zhang YouLiang,Liu DengXue,Tan Fei. Numerical manifold method based on isogeometric analysis[J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES,2015,58(9):1520-1532. |
| APA | Zhang YouLiang,Liu DengXue,&Tan Fei.(2015).Numerical manifold method based on isogeometric analysis.SCIENCE CHINA-TECHNOLOGICAL SCIENCES,58(9),1520-1532. |
| MLA | Zhang YouLiang,et al."Numerical manifold method based on isogeometric analysis".SCIENCE CHINA-TECHNOLOGICAL SCIENCES 58.9(2015):1520-1532. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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