VERIFICATION OF COMPATIBILITY OF ISOTROPIC CONSOLIDATION CHARACTERISTICS OF SOILS TO MULTIPLICATIVE DECOMPOSITION OF DEFORMATION GRADIENT

Abstract

It is verified that the linear relation of logarithmic volumetric strain vs. logarithm of pressure derived from the linear relation of both logarithms of volume and pressure (Hashiguchi, 1974) for isotropic consolidation of soils is exactly compatible to the multiplicative decomposition of deformation gradient (Lee, 1969) which would be one of the fundamental requirements for constitutive equations describing the finite elastoplastic deformation. On the other hand, it is emphasized that the adoption of the linear relation of void ratio vs. logarithm of pressure is impertinent for the constitutive equation describing the finite deformation although it is most widely used for constitutive equations of soils.