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Microbuckling instability in elastomeric cellular solids

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Abstract

Compressive properties of elastic cellular solids are studied via experiments upon foam and upon single-cell models. Open-cell foam exhibits a monotonic stress-strain relation with a plateau region; deformation is localized in transverse bands. Single-cell models exhibit a force-deformation relation which is not monotonic. In view of recent concepts of the continuum theory of elasticity, the banding instability of the foam in compression is considered to be a consequence of the non-monotonic relation between force and deformation of the single cell.

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References

  1. L. J. Gibson and M. F. Ashby, Cellular solids (Pergamon, Oxford, 1988).

    Google Scholar 

  2. J. B. Choi and R. S. Lakes, J. Mater. Sci. 28 (1993) in press.

  3. W. J. Stronge and V. P. W. Shim, J. Engng Mater. Technol. 110 (1988) 185–190.

    Article  Google Scholar 

  4. R. S. Lakes, Science 235 (1987) 1038–1040.

    Article  CAS  Google Scholar 

  5. E. A. Friis, R. S. Lakes and J. B. Park, J. Mater. Sci. 23 (1988) 4406–4414.

    Article  CAS  Google Scholar 

  6. J. H. Bramble and L. E. Payne, Proceedings of the Fourth National Congress of Applied Mechanics (1963) 469–473.

  7. J. K. Knowles and E. Sternberg, J. Elasticity 8 (1978) 329–379.

    Article  Google Scholar 

  8. S. P. Timoshenko and J. N. Goodier, “Theory of elasticity”, 3rd Edn (McGraw-Hill, New York, 1970).

    Google Scholar 

  9. J. L. Ericksen, J. Elasticity 5 (1975) 191–201.

    Article  Google Scholar 

  10. H. C. Simpson and S. J. Spector, Arch. Rational Mech. Anal. 84 (1983) 55–68.

    Article  Google Scholar 

  11. R. D. James, ibid. 72 (1979) 100–140.

    Article  Google Scholar 

  12. R. Abeyaratne and J. K. Knowles, Int. J. Solids, Structures, 24 (1988) 1021–1044.

    Article  Google Scholar 

  13. M. E. Gurtin, in “Phase transformations and material instabilities in solids”, edited by M. E. Gurtin (Academic Press, NY, 1984).

    Google Scholar 

  14. R. S. Lakes, ASME J. Engng. Mater. Tech. 113 (1990) 1313.

    Google Scholar 

  15. H. B. Mühlhaus and E. C. Aifantis, Int. J. Solids Structures in press.

  16. R. Abeyaratne and N. Triantafyllidis, J. Applied Mech. 51 (1984) 481–486.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Biomedical Engineering, Department of Mechanical Engineering, Center for Laser Science and Engineering, University of Iowa, 52242, Iowa City, IA, USA

    R. Lakes

  2. Department of Theoretical and Applied Mechanics, Cornell University, 14853, Ithaca, NY, USA

    P. Rosakis & A. Ruina

Authors
  1. R. Lakes
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  2. P. Rosakis
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  3. A. Ruina
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Lakes, R., Rosakis, P. & Ruina, A. Microbuckling instability in elastomeric cellular solids. Journal of Materials Science 28, 4667–4672 (1993). https://doi.org/10.1007/BF00414256

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