Application of Extended Jiles-Atherton Model for Modelling the Influence of Stresses on Magnetic Characteristics of the Construction Steel

Abstract

Paper presents the possibility of application of the Jiles-Atherton extended model to describe the magnetic characteristics of construction steel C45 under the inuence of tensile stresses. Experiment was performed on the frame-shaped samples. Then, the inuence of stresses on hysteresis loops was modelled with the Jiles-Atherton extended model. The obtained results of the modelling are consistent with results of the experimental measurements. The results of modelling create new possibilities of explanation of the physical phenomena connected with magnetisation of the magnetic materials under stresses, which is esential for the assessment of the state of the construction steel during its exploitation in industrial conditions.

Stress Monitoring in Steel Elements via Detection of AC Magnetic Permeability Changes

“…However, the case of f 500 Hz is preferable from technical point of view because of smaller noise amplitude to induced voltage value ratio. The observed magnitude of AC µ r relative changes remains in qualitative accordance with reported data [9] concerning Jiles-Atherton model DC parameters for C45 steel, however these parameters exhibit nonmonotonic behavior when stress exceeds Villari point (ca. 120 MPa).…”

“…The source of magnetostriction is strain dependence of magneto-crystalline anisotropy originating from the spin-orbital coupling of electrons. The variety of magneto-mechanical effects in bulk material and thin films was reported both in historical papers [2,3] and in more recent ones [4][5][6][7][8][9]. These phenomena can be utilized for determining magnetoelastic parameters of materials [8] as well as for nondestructive evaluation (NDE) of mechanical elements [7].…”

“…These phenomena can be utilized for determining magnetoelastic parameters of materials [8] as well as for nondestructive evaluation (NDE) of mechanical elements [7]. The static (DC) magneto-mechanical phenomena can be effectively described by Jiles-Atherton-Sablik model of magnetic hysteresis [9][10][11] in medium and high magnetic fields.…”

Estimation of the Level of Residual Stress in Wires with a Magnetic Method

“…In recent years the interest of scientific community in the study of magneto-mechanical effects for diagnostics purposes is clearly noticeable [7,18,[23][24][25][26][27]. Historically, most probably the first attempt to avail of magnetic methods in order to determine residual stress in cylindrical metal bars was undertaken in 1971 by Abuku and Cullity, who have carried out a number of measurements of the reversible effective permeability at different bias field strengths for nickel and steel rods and concluded that this quantity increases almost linearly with tensile stress [28].…”

Reliability and Efficiency of Differential Evolution Based Method of Determination of Jiles-Atherton Model Parameters for X30CR13 Corrosion Resisting Martensitic Steel

“…Evolutionary strategies, especially (µ+λ) evolutionary strategy were successfully applied previously for determination of Jiles-Atherton model parameters [23]. Such methods of optimization are able to escape from local minima.…”