Abstract
Aluminium foams obtained by injecting a gas into the liquid metal are prone to localization of strain and damage. Under compression, crushing bands form, multiply and propagate through the whole sample. A continuum model based on a compressible plasticity framework is presented that is suitable for the simulation of such strain localization bands. The importance of accounting for strain localization phenomena in structural computations is illustrated by finite element simulations of the compression of cube and tapered specimens, and of an indentation test. A regularization procedure is proposed to obtain mesh–independent results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Bart-Smith, A. F. Bastawros, D. R. Mumm, A. G. Evans, D. J. Sypeck and H. N. G. Wadley, Acta Metal. 46 (1998) 3583.
T. Wierzbicki, M. Doyoyo and A. MArkaki, in, Cellular Metals and Metal Foaming Technology, edited by N. A. Fleck J. Banhart and M. F. Ashby (Verlag MIT Publishing, 2001) p. 449.
R. E. Miller, Int. J. Mech. Sci. 42 (2000) 729.
Y. Chastel, E. Hudry, S. Forest and C. Peytour, in, Metal foams and Porous Metal Structures, edited by J. Banhart, M. F. Ashby and N. A. Fleck (Verlag MIT Publishing, 1999) p. 263.
V. S. Deshpande and N. A. Fleck, J. Mech. Phy. Solids 48 (2000) 1253.
X. Badiche, S. Forest, T. Guibert, Y. Bienvenu, J.-D. Bartout, P. Ienny, M. Croset and H. Bernet Mater. Sci. Enging. A289 (2000) 276.
J.-S. Blazy, A. Marie-Louise, S. Forest, Y. Chastel, A. Pineau, A. Awade, C. Grolleron and F. Moussy, Int. J. Mech. Sci. 46 (2004) 217.
A. G. Hanssen, O. S. Hopperstad, M. Langseth, and H. Ilstad, ibid. 44 (2002) 359.
J. R. Rice, in Theoretical and Applied Mechanics, edited by W. T. Koiter (North Publishing Company, 1976).
B. Foroughi, B. Kriszt and H. P. Degische, in, Cellular Metals and Metal Foaming Technology, edited by N. A. Fleck, J. Banhart and M. F. Ashby (Verlag MIT Publishing, 2001) p. 265.
R. de Borst, L. J. Sluys, H. B. Mühlhaus and J. Pamin, Enging. Comp. 10 (1993) 99.
J. Besson, Local Approach to Fracture (Ecole des Mines de Paris–Les Presses, 2004).
J.-S. Blazy, Comportement mécanique des mousses d'aluminium: Caractérisations Expérimentales Sous Sollicitations Complexes et simulations numériques dans le cadre de l'élasto–plasticité compressible (Doctoral thesis, Ecole des Mines de Paris, 2003).
N. S. Ottosen and K. Runesson, Int. J. Sol. Stru. 27 (1991) 401.
R. Chambon, D. Caillerie and T. Matsuchima, ibid. 38 (2001) 8503.
T. Matsuchima, R. Chambon and Caillerie, Int. J. Numer. Meth. Engng. 54 (2002) 499.
C. Chen and N. A. Fleck, J. Mech. Phy. Sol. 50 (2002) 955.
S. Forest and R. Sievert, Acta Mechanica. 160 (2003) 71.
J. Y. Shu, W. E. King and N. A. Fleck, Int. J. Numer. Meth. Engng. 44 (1999) 373.
E. Maire, A. Fazékas, L. Salvo, R. Dendievel, Y. Souhail, P. Cloetens and J. M. Letang, Comp. Sci. Technol. 63 (2003) 2431.
T. Dillard, Comportement mécanique et rupture des mousses de nickel : caractérisation 3D, mesures de champs et simulation numérique (Doctoral thesis, Ecole des Mines de Paris, 2004).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Forest, S., Blazy, JS., Chastel, Y. et al. Continuum modeling of strain localization phenomena in metallic foams. J Mater Sci 40, 5903–5910 (2005). https://doi.org/10.1007/s10853-005-5041-6
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10853-005-5041-6