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材料工程  2019, Vol. 47 Issue (8): 59-81    DOI: 10.11868/j.issn.1001-4381.2018.001412
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刘培生, 杨春艳, 程伟
北京师范大学 核科学与技术学院射线束技术教育部重点实验室, 北京 100875
Study on property model for porous materials 3: mathematical deduction
LIU Pei-sheng, YANG Chun-yan, CHENG Wei
Key Laboratory of Beam Technology of Ministry of Education, College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China
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摘要 基于三维网状多孔材料的八面体结构模型,本文介绍了多孔材料基本物理、力学性能数理关系的推演过程。此过程覆盖了多孔材料的单向拉伸、多向拉压、传导性和疲劳性能等方面。重点描述了多孔材料内部构成的等效电路、多孔材料单向拉伸的准刚体结构受力模型和变形体结构受力模型,在此基础上讨论了压缩强度问题,并对双向拉伸和三向拉压的有关数理关系展开推演和分析。根据本八面体模型,多孔材料在弯曲等非直接拉压受力形式下的力学性能数理关系,同样可由单向拉压的推演而获得。
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关键词 多孔材料泡沫金属泡沫陶瓷性能模型数理推演    
Abstract:Based on the "octahedral structure model" of three-dimensional reticulated porous materials, the mathematical deductions are introduced one by one for the mathematical relations of their basic physical and mechanical properties in this paper. The present review on these deductions covers the unidirectional tension and the multidirectional tension/compression of porous materials, as well as the conductivity and the fatigue property. Emphasis is placed on describing the equivalent circuit of the inner structure of porous materials, and the force action model both of quasi-rigid body and deformed body structure of porous materials under unidirectional tension. On this basis, the compressive strength is discussed, and the biaxial tension and triaxial tension/compression are mathematically deducted and analyzed. According to this octahedron model, the mathematical relations of mechanical properties can be also obtained from the deduction of unidirectional tension and compression, for porous materials under loading of non-direct tension and compression.
Key wordsporous material    metal foam    ceramic foam    property model    mathematical deduction
收稿日期: 2018-12-04      出版日期: 2019-08-22
中图分类号:  TB383  
通讯作者: 程伟(1973-),男,副研究员,博士,现从事材料计算等方面的研究工作,联系地址:北京师范大学核科学与技术学院(100875),,     E-mail:,
刘培生, 杨春艳, 程伟. 多孔材料性能模型研究3:数理推演[J]. 材料工程, 2019, 47(8): 59-81.
LIU Pei-sheng, YANG Chun-yan, CHENG Wei. Study on property model for porous materials 3: mathematical deduction. Journal of Materials Engineering, 2019, 47(8): 59-81.
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