Rheological-dynamical analogy: Visco-elasto-plastic behavior of metallic bars

Abstract

This paper presents an application of the rheological-dynamical analogy (RDA) for describing the various aspects of a visco-elasto-plastic behavior of metallic bars related to standard tensile tests. The analogy has been developed on the basis of mathematical-physical analogy between a visco-elasto-plastic rheological model and a dynamical model with viscous damping, and is aimed to be used for the analysis of inelastic deforming of materials and structures. In this presentation, the aim will be to highlight the thermodynamics aspect of proportional stress through hysteretic loop dissipation, oscillation in the stress-strain curve (lower and upper yield point), transition from plasticity range, transition from strain hardening range, and RDA fracture stress of thin long metallic bars. This paper provides description of process of visco-elasto-plastic yielding and numerical example of obtaining isochronous σ-ε diagram of metallic bars using RDA similitude. In order to demonstrate the ability of the RDA modeling technique, the comparison with experimental and numerical results by [ASCE, J. Eng. Mech. 125(12) (1999) 1243] is presented. The presented RDA analysis can be readily used to perform precise shape of isochronous σ-ε diagrams of metallic bars. The RDA isochronous stress-strain diagram is used to predict the loading functions for the material of metallic bars. © 2004 Elsevier Ltd. All rights reserved.