Sd. Papka et S. Kyriakides, INPLANE COMPRESSIVE RESPONSE AND CRUSHING OF HONEYCOMB, Journal of the mechanics and physics of solids, 42(10), 1994, pp. 1499-1532
The response of hexagonal, metallic honeycomb to in-plane compressive
loading is studied through a combination of experiment and analysis. T
his material with periodic microstructure has a load-displacement resp
onse characterized by a relatively sharp initial rise to a load maximu
m followed by an extended load plateau which is terminated by a sharp
rise in load. In the first part of the response, the material deforms
essentially in a uniform fashion (stable). Following the load maximum,
deformation tends to localize to one row of cells which collapses at
a dropping overall load until the walls of each cell come into contact
. Contact arrests further deformation in the collapsed row of cells an
d causes spreading of deformation in the adjacent rows. Under displace
ment-controlled loading, this row collapse can continue, with relative
ly small changes in the required load, until the whole specimen is col
lapsed. The load required for further crushing increases sharply beyon
d this point. This process has been reproduced through large-scale num
erical simulations of the problem. In addition, we show how the local
response of the material, obtained from a compression test on a repres
entative microsection, can be used to establish the elastic properties
, the load at the onset of instability, and the stress level at which
deformation propagates from row to row. The local response is subseque
ntly used to study the problem parametrically.