| 水平集法在多相材料细观结构优化中的应用 |
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| 引用本文： | 孙杰,宋迎东,孙志刚,高希光. 水平集法在多相材料细观结构优化中的应用[J]. 航空动力学报, 2008, 23(8): 1443-1448 |
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| 作者姓名： | 孙杰 宋迎东 孙志刚 高希光 |
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| 作者单位： | 南京航空航天大学,能源与动力学院,南京,210016;南京航空航天大学,能源与动力学院,南京,210016;南京航空航天大学,能源与动力学院,南京,210016;南京航空航天大学,能源与动力学院,南京,210016 |
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| 基金项目： | 航空基础科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | 利用高精度通用单胞模型将多相材料的细观拓扑结构和宏观力学性能联系起来,将一个单胞离散成有限个单元,通过单元中材料的有无来描述细观结构,利用水平集法将这个离散变量的拓扑优化问题转化为连续变量的形状优化问题,从而实现了多相材料的细观结构优化.以一种多相材料结构为例进行了细观结构的优化,并获得了具有负泊松比的特性,从而验证了所提出方法的合理性.
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| 关 键 词： | 多相材料 细观结构 水平集法 通用单胞法 |
| 收稿时间： | 2007-07-18 |
| 修稿时间： | 2007-11-19 |
Application of level set method in microstructure optimization of multiphase material |
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| SUN Jie,SONG Ying-dong,SUN Zhi-gang and GAO Xi-guang. Application of level set method in microstructure optimization of multiphase material[J]. Journal of Aerospace Power, 2008, 23(8): 1443-1448 |
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| Authors: | SUN Jie SONG Ying-dong SUN Zhi-gang GAO Xi-guang |
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| Affiliation: | College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | Topological microstructure and macro-mechanic performance of multiphase materials were combined using high-fidelity generalized method of cell(HFGMC),so a single cell was dispersed into finite elements;the presence or otherwise of the microstructure was described by materials in the elements,and topological optimization of discrete variables was transferred into continuous variables' shape optimization,thus achieving microstructure optimization of multiphase materials.The microstructure of a multiphase material was optimized,and property of auxetic performance was obtained,helping to prove the validity of this method. |
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| Keywords: | multiphase materials microstructure level set method generalized method of cell |
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