The use of the effective stress principle led to a general theory for the
strength and volumetric behavior of saturated soils. Presently, all constitutive models
for saturated soils are based on this principle. In 1959 Bishop proposed an equation for
the effective stress of unsaturated soils. However, it was severely criticized because it
could not explain by itself the phenomenon of collapse upon wetting. Moreover, an
analytical expression for the determination of its main parameter X was not provided
and in addition, its value could not be easily determined in the laboratory. Since then
several equations to determine the value of parameter X have been proposed and fifty
years later it is acknowledge that Bishop’s effective stress equation can be employed to
simulate the behavior of unsaturated soils when it is complemented with a proper
elastoplastic framework.
Keywords: Saturated soil, unsaturated soil, effective stress, total stress, pore
water pressure, air pressure, suction, constitutive model, volumetric behavior,
shear strength, collapse, elastoplastic framework, state surface, independent stress
variables, effective stress parameter.