S. Santosa et T. Wierzbicki, ON THE MODELING OF CRUSH BEHAVIOR OF A CLOSED-CELL ALUMINUM FOAM STRUCTURE, Journal of the mechanics and physics of solids, 46(4), 1998, pp. 645-669
Crush behavior of a closed-cell aluminum foam is studied analytically
and numerically. A new model of a truncated cube, which captures the b
asic folding mechanism of an array of cells, is developed. The model c
onsists of a system of collapsing cruciform and pyramidal sections. Th
eoretical analysis is based on energy consideration in conjunction wit
h the minimum principle in plasticity. The assumed kinematic model for
the crushing mechanism of the truncated cube cell gives a good agreem
ent with the deformation mechanism obtained from the numerical simulat
ion. Analytical formulation for the crushing resistance of the truncat
ed cube cell is shown to correlate very accurately with the numerical
results. Closed form solutions for crushing resistance of closed-cell
aluminum foam in terms of relative density are developed. The formulas
are compared with the experimental results and give an excellent agre
ement. (C) 1998 Published by Elsevier Science Ltd. All rights reserved
.