Compressive properties of elastic cellular solids are studied via expe
riments upon foam and upon single-cell models. Open-cell foam exhibits
a monotonic stress-strain relation with a plateau region; deformation
is localized in transverse bands. Single-cell models exhibit a force-
deformation relation which is not monotonic. In view of recent concept
s of the continuum theory of elasticity, the banding instability of th
e foam in compression is considered to be a consequence of the non-mon
otonic relation between force and deformation of the single cell.