The endochronic theory has been applied to various problem of metal plasticity without the notion of yield surface and specification of loading conditions. However, the formalization of this theory is not appropriate in modeling the behavior of concrete or soils, since it was assumed in this theory that the hydrostatic response is elastic and the coupling effect between shear and hydrostatic behavior (shear-hydrostatic interaction, dilatancy) does not take place.
In this paper, a way to consider the coupling effect between stear and hydrostatic behavior is explained by virtue of the coupling constant. Also, the method of determination of material functions and constants is examined, and two numer ical methods in three dimensional state are shown to obtain the stress-strain relation. Moreoyer, the numerical procedure of finite element analysis of structures using this theory is shown.