The MLS-based numerical manifold method for nonlinear transient heat conduction problems in functionally graded materials
文献类型：期刊论文
| 作者 | Zhang, Limei; Guo, Fei; Zheng, Hong |
| 刊名 | INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
 |
| 出版日期 | 2022-12-01 |
| 卷号 | 139 |
| ISSN号 | 0735-1933 |
| 关键词 | Nonlinear transient heat conduction Functionally graded materials Moving least squares based numerical manifold method (MLS-NMM) Backward difference scheme |
| 英文摘要 | In this study, we aim to numerically solve two-dimensional nonlinear transient heat conduction problems of functionally gradient materials (FGMs), where the governing equation is a quasilinear partial differential equation of second order. For this purpose, the weak form of the initial boundary value problem is first estab-lished. Then influence domains of nodes in the moving least squares (MLS) instead of finite elements are used as the mathematical patches to construct the mathematical cover of the numerical manifold method (NMM); while the shape functions of MLS-nodes as the weight functions subordinate to the mathematical cover, leading to the moving least squares based numerical manifold method (MLS-NMM). With the weak form, the spatial dis-cretization is carried out using MLS-NMM, whereas temporal discretization follows the Euler backward differ-ence. Finally, a series of numerical experiments are conducted concerning transient heat conduction problems of FGMs with heat source and heat convection, suggesting that the proposed MLS-NMM enjoys advantages of both MLS and NMM in solving nonlinear transient heat conduction of FGMs. |
| 学科主题 | Thermodynamics ; Mechanics |
| 语种 | 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000888084400007 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/34937]  |
| 专题 | 中科院武汉岩土力学所 |
| 作者单位 | 1.Beijing University of Technology; 2.Chinese Academy of Sciences; Wuhan Institute of Rock & Soil Mechanics, CAS |
| 推荐引用方式 GB/T 7714 | Zhang, Limei,Guo, Fei,Zheng, Hong. The MLS-based numerical manifold method for nonlinear transient heat conduction problems in functionally graded materials[J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER,2022,139. |
| APA | Zhang, Limei,Guo, Fei,&Zheng, Hong.(2022).The MLS-based numerical manifold method for nonlinear transient heat conduction problems in functionally graded materials.INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER,139. |
| MLA | Zhang, Limei,et al."The MLS-based numerical manifold method for nonlinear transient heat conduction problems in functionally graded materials".INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER 139(2022). |
入库方式： OAI收割
来源：武汉岩土力学研究所
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