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.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
L. J. Gibson and M. F. Ashby, Cellular solids (Pergamon, Oxford, 1988).
J. B. Choi and R. S. Lakes, J. Mater. Sci. 28 (1993) in press.
W. J. Stronge and V. P. W. Shim, J. Engng Mater. Technol. 110 (1988) 185–190.
R. S. Lakes, Science 235 (1987) 1038–1040.
E. A. Friis, R. S. Lakes and J. B. Park, J. Mater. Sci. 23 (1988) 4406–4414.
J. H. Bramble and L. E. Payne, Proceedings of the Fourth National Congress of Applied Mechanics (1963) 469–473.
J. K. Knowles and E. Sternberg, J. Elasticity 8 (1978) 329–379.
S. P. Timoshenko and J. N. Goodier, “Theory of elasticity”, 3rd Edn (McGraw-Hill, New York, 1970).
J. L. Ericksen, J. Elasticity 5 (1975) 191–201.
H. C. Simpson and S. J. Spector, Arch. Rational Mech. Anal. 84 (1983) 55–68.
R. D. James, ibid. 72 (1979) 100–140.
R. Abeyaratne and J. K. Knowles, Int. J. Solids, Structures, 24 (1988) 1021–1044.
M. E. Gurtin, in “Phase transformations and material instabilities in solids”, edited by M. E. Gurtin (Academic Press, NY, 1984).
R. S. Lakes, ASME J. Engng. Mater. Tech. 113 (1990) 1313.
H. B. Mühlhaus and E. C. Aifantis, Int. J. Solids Structures in press.
R. Abeyaratne and N. Triantafyllidis, J. Applied Mech. 51 (1984) 481–486.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00414256