Preisach Elasto-Plastic Model for Mild Steel Hysteretic Behavior-Experimental and Theoretical Considerations.

Dragoslav Sumarac,Maosen Cao,Cemal Dolicanin,Petar Knezevic

doi:10.3390/s21103546

Abstract

The Preisach model already successfully implemented for axial and bending cyclic loading is applied for modeling of the plateau problem for mild steel. It is shown that after the first cycle plateau disappears an extension of the existing Preisach model is needed. Heat dissipation and locked-in energy is calculated due to plastic deformation using the Preisach model. Theoretical results are verified by experiments performed on mild steel S275. The comparison of theoretical and experimental results is evident, showing the capability of the Presicah model in predicting behavior of structures under cyclic loading in the elastoplastic region. The purpose of this paper is to establish a theoretical background for embedded sensors like regenerated fiber Bragg gratings (RFBG) for measurement of strains and temperature in real structures. In addition, the present paper brings a theoretical base for application of nested split-ring resonator (NSRR) probes in measurements of plastic strain in real structures.

Highlights

The phenomenon of hysteresis has been a long-standing research interest. It occurs in various branches of physics: magnetism, adsorption, viscoelasticity, plasticity, etc
Its origin starts in 1935 after the paper published by Preisach [1] dealing with the problem of magnetism
The first application was in mechanics, for solving problems of cyclic plasticity of axially loaded bars, which was elaborated in [3,4]

Summary

Introduction

The phenomenon of hysteresis has been a long-standing research interest. It occurs in various branches of physics: magnetism, adsorption, viscoelasticity, plasticity, etc. Its origin starts in 1935 after the paper published by Preisach [1] dealing with the problem of magnetism. After that the Presiach model extended to the problem of adsorption [2]. The first application was in mechanics, for solving problems of cyclic plasticity of axially loaded bars, which was elaborated in [3,4]. The method was extended to elasto-plastic cyclic bending, as described in [5,6]. Low cycle fatigue due to earthquake loading was elaborated in [6]. The problem of the plateau associated with the mild steel is considered in [7]

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