Author(s)

Y. Boguslavskiy & S. Drabkhr

Abstract

In several studies, the secant Young's modulus, secant bulk modulus, secant shear modulus, and secant Poisson's ratio were used for interpretation of one-dimensional tests and then the results were applied to three-dimensional loading conditions. Presented paper shows that there is a difference between a convenient interpretation of one-dimensional tests and three dimensional tensor generalizations of eiastoplastic phenomena in solid bodies. It is shown that hydrostatic experiments cannot be used to justify the incompressibility assumption of the continuum theory of plasticity. The expressions for the secant moduli are derived when such bodies experience weak non-linear elastic deformations. The correct expressions for the secant moduli are derived based only non-linear theory of eiastoplastic deformations. 1 In

Keywords