Physical Chemistry of Foods

FIGURE17.29 Uniaxial compression of regular cellular structures; the cells are
presumed to be open. (a) Structure of the undeformed system. (b) Structure after
buckling under a compressive stress in the vertical direction for a purely elastic matrix.
(c) Same, after yielding, for a matrix that is a plastic solid. (d) Stress–strain relation
for elastic deformation, as in situation (b). (e) Same, for plastic deformation, as in
situation (c).suis the uniaxial compression stress;eCis the Cauchy strain;scris the
critical stress for buckling (d) or yielding (e); tanyequals the Young modulus of the
system. The vertical broken line denotes the maximum strain possible (thenj&0).
(Adapted from Gibson and Ashby [see Bibliography].)