Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams

doi:10.1007/s10483-014-1874-7

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (11): 1437-1446.doi: https://doi.org/10.1007/s10483-014-1874-7

Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams

卢子兴, 刘强, 陈鑫

School of Aeronautical Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

收稿日期:2013-10-20 修回日期:2014-03-10 出版日期:2014-11-01 发布日期:2014-11-01
通讯作者: Zi-xing LU, Professor, Ph.D., E-mail: luzixing@buaa.edu.cn E-mail:luzixing@buaa.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11472025 and 11272030)

Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams

Zi-xing LU, Qiang LIU, Xin CHEN

School of Aeronautical Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

Received:2013-10-20 Revised:2014-03-10 Online:2014-11-01 Published:2014-11-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11472025 and 11272030)

摘要/Abstract

摘要： Based on the elongated Kelvin model, a simplified periodic structural cell is obtained to investigate the tensile behavior of anisotropic open-cell elastic foams due to Kelvin model's periodicity and symmetry in the whole space. The half-strut element and elastic deflection theory are used to analyze the tensile response as done in the previous studies. This study produces theoretical expressions for the tensile stress-strain curve in the rise and transverse directions. In addition, the theoretical results are examined with finite element simulation using an existing formula. The results indicate that the theoretical analysis agrees with the finite element simulation when the strain is not too high, and the present model is better. At the same time, the anisotropy ratio has a significant effect on the mechanical properties of foams. As the anisotropy ratio increases, the tensile stress is improved in the rising direction but drops in the transverse direction under the same strain.

关键词: anisotropy, tensile property, Kelvin model, elastic deformation, open-cell foam

Abstract: Based on the elongated Kelvin model, a simplified periodic structural cell is obtained to investigate the tensile behavior of anisotropic open-cell elastic foams due to Kelvin model's periodicity and symmetry in the whole space. The half-strut element and elastic deflection theory are used to analyze the tensile response as done in the previous studies. This study produces theoretical expressions for the tensile stress-strain curve in the rise and transverse directions. In addition, the theoretical results are examined with finite element simulation using an existing formula. The results indicate that the theoretical analysis agrees with the finite element simulation when the strain is not too high, and the present model is better. At the same time, the anisotropy ratio has a significant effect on the mechanical properties of foams. As the anisotropy ratio increases, the tensile stress is improved in the rising direction but drops in the transverse direction under the same strain.

Key words: open-cell foam, tensile property, anisotropy, elastic deformation, Kelvin model

中图分类号:

O343.5
O341

卢子兴;刘强;陈鑫. Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1437-1446.

Zi-xing LU;Qiang LIU;Xin CHEN. Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1437-1446.

参考文献

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Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams

Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams

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