An Expression of Elastic-Plastic Constitutive Law Incorporating A Stress Increment Dependence : 2nd Report, A Law of Linear-Comparison Solids and Analysis of Buckling of Elastic-Plastic Tube

Abstract

In the first report, a new expression of a constitutive law for elastic-plastic material was proposed using two transition parameters which are essential in describing the property of plastic materials. There parameters denotes the magnitude and direction of plastic strain increments. In this report, sufficient conditions of linear comparison solids are discussed in terms of those transition parameters. The characteristic of buckling of an elastic-plastic tube simultaneously subjected to axial load and internal pressure is then analyzed using Hill's bifurcation theory.