Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-20T00:07:28.932Z Has data issue: false hasContentIssue false
  • English
  • Français

A Continuum Plasticity Model for the Constitutive Behaviour of Foamed Metals

Published online by Cambridge University Press:  10 February 2011

Ronald E. Miller  and
John W. Hutchinson
Ronald E. Miller
Affiliation:
Division of Applied Science, Harvard University, Cambridge, MA 02138
John W. Hutchinson
Affiliation:
Division of Applied Science, Harvard University, Cambridge, MA 02138
Get access

Abstract

A yield surface is proposed that can be fit to the plastic flow properties of a broad class of solids which exhibit plastic compressibility and different yield points in tension and compression. The yield surface is proposed to describe cellular solids, including foamed metals, and designed to be fit to three simple experimental results: (1) the compressive stress-strain response (including densification), (2) the difference between the tensile and compressive yield points and (3) the degree of compressibility of the foam, as measured by the lateral expansion during a uniaxial compression test. The model is implemented using finite elements and used to study the effects of plastic compressibility on two problems: the compression of a doubly notched specimen and indentation by a spherical indenter.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 521: Symposium R – Porous & Cellular Materials for Structural Applications , 1998 , 39
Copyright
Copyright © Materials Research Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Evans, A. G., Hutchinson, J. W., and Ashby, M. F.. to appear in Acta Mat., 1998.Google Scholar
[2] Gibson, L. J. and Ashby, M. F.. Cellular Solids: Structure and Properties. Cambridge University Press, Cambridge, 2nd edition, 1997.Google Scholar
[3] Sugimura, Y., Meyer, J., Bart-Smith, H., Grenstedt, J., and Evans, A. G.. Acta Mat., 45(12):5245–5259, 1997.Google Scholar
[4] Prakash, O., Sang, H., and Embury, J. D.. Mat. Sci. Engng., A199:195–203, 1995.Google Scholar
[5] Sypeck, D. J., Wadley, H. N. G., Bart-Smith, H., Koehler, S., and Evans, A. G.. Review of Progress in Quantitative Nondestructive Evaluation, 17, 1998.Google Scholar
[6] Thornton, P. H. and Magee, C. L.. Metallurgical Trans. A, 6:1801–1807, 1975.Google Scholar
[7] Shaw, M. C. and Sata, T.. Int. J. Mech. Sci., 8:469–478, 1966.Google Scholar
[8] Triantafillou, T. C., Zhang, J., Shercliff, T. L., Gibson, L. J., and Ashby, M. F.. Int. J. Mech. Sci., 31(9):665–678, 1989.Google Scholar
[9] Andrews, E. and Gibson, L. J.. unpublished results.Google Scholar
[10] Gioux, G. and Gibson, L. J.. unpublished results.Google Scholar
[11] McCormack, T. and Gibson, L. J. unpublished results.Google Scholar
[12] Gibson, L. J., Ashby, M. F., Zhang, J., and Triantafillou, T. C.. Int. J. Mech. Sci., 31(9):635–663, 1989.Google Scholar
[13] Kachanov, L. M.. Foundations of the Theory of Plasticity. North-Holland,Amsterdam, 1971.Google Scholar
[14] Drucker, D. C. and W., Prager. Q. Appl. Math., 10:157–165, 1952.Google Scholar
[15] Miller, R. E.. unpublished.Google Scholar
[16] Tabor, D.. The Hardness of Metals. Clarendon Press, Oxford, 1951.Google Scholar
[17] Biwa, S. and Storhkers, B.. J. Mech. Phys. Sol., 43(8):1303–1333, 1995.Google Scholar
[18] Wilsea, M., Johnson, K. L., and Ashby, M. F.. Int. J. Mech. Sci., 17:457–460, 1975.Google Scholar