Explicit stress-strain and temperature relations for stainless steel in tension and compression

  • Kenzu Abdella Trent University

Abstract

In this paper a new stress formulation for stainless steel alloys which expresses the stress as an explicit function of strain and temperature is presented. The proposed formulation is based on approximate closed form inversion of existing two-stage stress-strain relations obtained from a modified version of the Ramberg-Osgood equation. The inversion which is obtained by making a modified power law assumption on the fractional deviation of the actual stress-strain curve from an idealized linear elastic behaviour is applicable both to tensile and compressive stresses.

While previous studies use temperature dependent material properties to account for the effect of temperature on the stress-strain relation, this paper proposes explicit formulation based on the material properties at normal temperatures. The effect of temperature is introduced by modifying the form of the stress-strain relation which includes a factor with an appropriate temperature dependent function. The validity of the temperature-dependent expression is tested over a wide range of material parameters and a wide range of temperatures. It is demonstrated that the proposed expression is both qualitatively and quantitatively in excellent agreement with the fully iterated numerical solution of the full-range temperature-dependent stress-strain relation at moderate and high temperatures.

Published
2011-10-29
Section
Articles