Constitutive Equation for Stainless Steel Used in Structural Engineering
Stainless steel is characterized by nonlinear stress-strain behavior, material anisotropy and different mechanical properties in tension and compression. As a result, it is necessary to define stress-strain relations of stainless steel precisely for the researches of mechanical behavior and stability of stainless steel member. This paper reviews the researches in constitutive relations models home and abroad, after introducing, analyzing, comparing the exist models, presents the three-stage stress-strain model proposed by Quach, which is defined using the three basic Ramberg-Osgood parameters and could be used in structural design by the current codes, considering the Quach equation as the most accurate constitutive equation for stainless steel material.
Determination of stress-strain relations from "offset" yield strength values
Report presenting an investigation of the shape of stress-strain curve for a material, especially when the material is subjected to compression, which may cause materials to become unstable at stresses beyond the elastic range. The ratio of stresses to effective modulus is explored in equation form.
Residual stresses in steel sheets due to coiling and uncoiling : a closed-form analytical solution
Abstract Residual stresses in cold-formed members may play a significant role in determining their behaviour and strength, and have traditionally been obtained by laboratory measurements. This paper presents the results of research which forms part of a larger study on the theoretical predictions of residual stresses in cold-formed sections. The paper is concerned with residual stresses that arise from the coiling and uncoiling process experienced by steel sheets before they are cold formed into sections. In this paper, a closed-form solution is presented for these residual stresses, in which the coiling and uncoiling process is modelled as an elastic–plastic plane strain pure bending problem with the steel assumed to obey the von Mises yield criterion and the Prandtl–Reuss flow rule. To facilitate its application in subsequent finite element simulation of the cold-forming process, the prediction of equivalent plastic strains is also addressed in this solution. The accuracy of the solution is demonstrated by comparing its predictions with those from a finite element simulation. Numerical results from the analytical solution are also presented to illustrate the development process of residual stresses and the effects of coiling curvature and yield stress on the final residual stresses.