This paper reviews the phenomenon of volumetric hardening, which is a commo
n feature of the mechanical behaviour of many gee-materials. Three differen
t material idealizations have been proposed to describe this hardening, and
the paper contains the corresponding mathematical formulation. These ideal
izations vary in their complexity and hence their ability to capture differ
ent aspects of real material behaviour. Any of the three postulates can be
implemented into most constitutive models. As a demonstration of their capa
bilities, the postulates have been implemented into the well-known modified
Cam Clay model, and computations are made with the resulting new constitut
ive models. It is seen that the new models can successfully represent impor
tant features of soil behaviour such as plastic yielding associated with lo
ading inside the current virgin yield surface, the loosening or densifying
of granular soils caused by shearing, and the accumulation of both volumetr
ic and distortional deformation caused by repeated drained loading over a l
arge number of cycles. Copyright (C) 2000 John Wiley & Sons, Ltd.