Critical Notes On Evaluation Of Secant Moduli
And Secant Poisson's Ratio In Solid Bodies
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
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