Metal Foams: A Design Guide

A constitutive model for metal foams 87
Some metallic foams harden in compression but soften (and fail prematurely)
after yielding in tension. This behavior, not captured by the present
constitutive law, is caused by the onset of a new mechanism, that of cell-wall
fracture, which progressively weakens the structure as strain increases.
References
Chastel, Y., Hudry, E., Forest, S. and Peytour, C. (1999) In Banhart, J., Ashby, M.F. and
Fleck, N.A. (eds), Metal Foams and Foam Metal Structures, Proc. Int. Conf. Metfoam’99,
14–16 June 1999, MIT Verlag, Bremen, Germany.
Deshpande, V. and Fleck, N.A. (1999) Multi-axial yield of aluminum alloy foams. In Banhart, J.,
Ashby, M.F. and Fleck, N.A. (eds), Metal Foams and Foam Metal Structures, Proc. Int. Conf.
Metfoam’99, 14–16 June 1999, MIT Verlag, Bremen, Germany.
Deshpande, V.S. and Fleck, N.A. (2000) Isotropic constitutive models for metallic foams. To
appear in J. Mech. Phys. Solids.
Gibson, L.J. and Ashby, M.F. (1997) Cellular Solids: Structure and properties, 2nd edition.
Cambridge University Press, Cambridge.
Gioux, G., McCormack, T. and Gibson, L.J. (1999) Failure of aluminum foams under multi-axial
loads. To appear in Int. J. Mech. Sci.
Miller, R. (1999) A continuum plasticity model of the constitutive and indentation behavior of
foamed metals. To appear in Int. J. Mech. Sci.