MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials
文献类型：期刊论文
| 作者 | Zhang, Limei; Zheng, Hong; Liu, Feng |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2023-08-15 |
| 卷号 | 144页码:124 |
| 关键词 | Three-dimensional steady heat conduction problem Moving least squares Numerical manifold method Moving least squares based numerical manifold method Functionally graded materials |
| ISSN号 | 0898-1221 |
| 英文摘要 | In this study, the moving least squares based numerical manifold method (MLS-NMM) is firstly applied to discretize three-dimensional (3D) steady heat conduction problems of functionally graded materials (FGMs). In the 3D MLS-NMM, the influence domains of nodes in the moving least squares (MLS) are used as the mathematical patches to construct the mathematical cover (MC); while the shape functions of MLS-nodes as the weight functions subordinate to the MC. Compared with the traditional NMM using finite elements to form the MC, the cutting operations in generating the physical cover are unnecessary and the computation complexity is decreased significantly. Based on the Galerkin method, the discrete form of 3D heat conduction is derived. Finally, a series of numerical experiments concerning steady heat conduction problems are performed, suggesting that the proposed MLS-NMM enjoys advantages of both MLS and NMM in solving steady heat conduction. |
| 学科主题 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:001016532500001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/35173]  |
| 专题 | 中科院武汉岩土力学所 |
| 作者单位 | 1.Chinese Academy of Sciences; Wuhan Institute of Rock & Soil Mechanics, CAS 2.Beijing University of Technology; 3.Tianjin University; |
| 推荐引用方式 GB/T 7714 | Zhang, Limei,Zheng, Hong,Liu, Feng. MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2023,144:124. |
| APA | Zhang, Limei,Zheng, Hong,&Liu, Feng.(2023).MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials.COMPUTERS & MATHEMATICS WITH APPLICATIONS,144,124. |
| MLA | Zhang, Limei,et al."MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials".COMPUTERS & MATHEMATICS WITH APPLICATIONS 144(2023):124. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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