Skip to main content
SpringerLink
Log in

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

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Gong, L., Kyriakides, S., and Jang, W. Y. Compressive response of open-cell foams, part I: morphology and elastic properties. International Journal of Solids and Structures, 42, 1355–1379 (2005)

    Article  MATH  Google Scholar 

  2. Jang, W. Y., Kraynik, A. M., and Kyriakides, S. On the microstructure of open-cell foams and its effect on elastic properties. International Journal of Solids and Structures, 45, 1845–1875 (2008)

    Article  MATH  Google Scholar 

  3. Perrot, C., Panneton, R., and Olny, X. Periodic unit cell reconstruction of porous media: application to open-cell aluminum foams. Journal of Applied Physics, 101, 113538 (2007)

    Article  Google Scholar 

  4. Lu, Z., Wang, R., and Huang, Z. A review of studies on the mechanical properties of foam plastics. Advances in Mechanics, 26(3), 306–323 (1996)

    MATH  Google Scholar 

  5. Gibson, L. J. and Ashby, M. F. Cellular Solids: Structure & Properties, Pergamon Press, Oxford (1997)

    Book  MATH  Google Scholar 

  6. Lu, Z. and Tian, C. Modification of anisotropic model for foam plastics. Chinese Journal of Applied Mechanics, 13(4), 108–111 (1996)

    Google Scholar 

  7. Lu, Z., Zhang, J., and Wang, S. Investigation into elastic properties of anisotropic random foam model. Journal of Beijing University of Aeronautics and Astronautics, 32(12), 1468–1471 (2006)

    Google Scholar 

  8. Lu, Z., Chen, X., and Zhang, J. Numerical modeling of high strain compression of anisotropic elastic open-cell foams. Journal of Beijing University of Aeronautics and Astronautics, 34(5), 564–567 (2008)

    Google Scholar 

  9. Lu, Z., Huang, J., and Chen, X. Elastic properties of anisotropic Kelvin model for open-cell foams. Acta Aeronautica et Astronautica Sinica, 30(6), 1017–1022 (2009)

    Google Scholar 

  10. Lu, Z., Huang, J., and Chen, X. Analysis and simulation of high strain compression of anisotropic open-cell elastic foams. Science China Technological Sciences, 53(3), 863–869 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  11. Gong, L. and Kyriakides, S. Compressive response of open cell foams, part II: initiation and evolution of crushing. International Journal of Solids and Structures, 42, 1381–1399 (2005)

    Article  MATH  Google Scholar 

  12. Andrews, E. W. and Gibson, L. J. The influence of crack-like defects on the tensile strength of an open-cell aluminum foam. Scripta Materialia, 44, 1005–1010 (2001)

    Article  Google Scholar 

  13. Kabir, M. E., Saha, M. C., and Jeelani, S. Tensile and fracture behavior of polymer foams. Materials Science and Engineering A, 429, 225–235 (2006)

    Article  Google Scholar 

  14. Aly, M. S. Effect of pore size on the tensile behavior of open-cell Ti foams: experimental results. Materials Letters, 64, 935–937 (2010)

    Article  Google Scholar 

  15. Aly, M. S. Tensile properties of open-cell nickel foams. Materials and Design, 31, 2237–2240 (2010)

    Article  Google Scholar 

  16. Zhu, H. X., Mills, N. J., and Knott, J. F. Analysis of the high strain compression of open-cell. Journal of the Mechanics and Physics of Solid, 45(11–12), 1875–1904 (1997)

    Article  MATH  Google Scholar 

  17. Shi, S. and Lu, Z. Finite element analysis for the elastic modulus of open-cell foams based on a tetrakaidecahedron model. Journal of Mechanical Strength, 28(1), 108–112 (2006)

    Google Scholar 

  18. Warren, W. E. and Kraynik, A. M. The nonlinear elastic behaviour of open-cell foams. Journal of Applied Mechanics, 58, 376–381 (1991)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Zi-xing Lu  (卢子兴), Qiang Liu  (刘 強) & Xin Chen  (陈 鑫)

Authors
  1. Zi-xing Lu  (卢子兴)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qiang Liu  (刘 強)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xin Chen  (陈 鑫)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zi-xing Lu  (卢子兴).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11472025 and 11272030)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, Zx., Liu, Q. & Chen, X. Analysis and simulation for tensile behavior of anisotropic open-cell elastic foams. Appl. Math. Mech.-Engl. Ed. 35, 1437–1446 (2014). https://doi.org/10.1007/s10483-014-1874-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-014-1874-7

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Search

Navigation