Stress dependence of ferromagnetic hysteresis loops for two grades of steel

Abstract Residual stress is an essential input into calculations of the remaining life of operational plant. However, many life predictions are inherently conservative because measurements of the absolute stress are unavailable. The magnetic properties of material are sensitive to stress, and in this paper, the magnetic properties (at maximum magnetisation, at remnance, and at the coercive field) of two grades of steel (Durehete 1055 and AS1548-7-46OR) under uni-axial stress are presented. The magnetic parameters are more sensitive to compressive stress than to tensile stress. A mathematical model using the Jiles–Atherton theory for ferromagnetic hysteresis is used to explain the trends in the experimental data. The ability of magnetic techniques to measure stress is demonstrated.

[1]  David Jiles,et al.  A model for the effect of stress on the low‐frequency harmonic content of the magnetic induction in ferromagnetic materials , 1988 .

[2]  D. Jiles,et al.  Application Of The Anisotropic Extension Of The Theory Of Hysteresis To The Magnetization Curves Of Crystalline And Textured Magnetic Materials. , 1997, 1997 IEEE International Magnetics Conference (INTERMAG'97).

[3]  David Jiles,et al.  Theory of ferromagnetic hysteresis: determination of model parameters from experimental hysteresis loops , 1989 .

[4]  H. E. Lassen,et al.  Microcomputer‐based system for control of applied uniaxial stress and magnetic field , 1984 .

[5]  D. Jiles,et al.  Theory of ferromagnetic hysteresis , 1986 .

[6]  D. Jiles,et al.  Numerical determination of hysteresis parameters for the modeling of magnetic properties using the theory of ferromagnetic hysteresis , 1992 .

[7]  B. Tanner,et al.  The in situ measurement of the effect of plastic deformation on the magnetic properties of steel: Part I – Hysteresis loops and magnetostriction , 1998 .

[8]  S. Rokhlin,et al.  Double through‐transmission bulk wave method for ultrasonic phase velocity measurement and determination of elastic constants of composite materials , 1992 .

[9]  David Jiles,et al.  Theoretical modelling of the effects of anisotropy and stress on the magnetization and magnetostriction of Tb0.3Dy0.7Fe2 , 1994 .

[10]  David Jiles,et al.  Coupled magnetoelastic theory of magnetic and magnetostrictive hysteresis , 1993 .

[11]  David Jiles,et al.  Model for the effect of tensile and compressive stress on ferromagnetic hysteresis , 1987 .

[12]  K. H. Carpenter,et al.  A differential equation approach to minor loops in the Jiles-Atherton hysteresis model , 1991 .

[13]  R. B. Thompson,et al.  Simultaneous ultrasonic evaluation with differentiation of stress and texture , 1994 .

[14]  A. Bergqvist,et al.  A simple vector generalization of the Jiles-Atherton model of hysteresis , 1996 .

[15]  D. Jiles Theory of the magnetomechanical effect , 1995 .

[16]  S. B. Biner,et al.  A model for hysteretic magnetic properties under the application of noncoaxial stress and field , 1993 .

[17]  David Jiles,et al.  Generalization of hysteresis modeling to anisotropic materials , 1997 .

[18]  R. A. Langman,et al.  The effect of stress on the magnetization of mild steel at moderate field strengths , 1985 .