Hysteresis loop as the indicator of residual stress in drawn wires

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].…”

“…the Harrison [53] or the Takács [54] models, where the concept of effective field is already present or may be readily implemented [7,51] and extended with the Sablik's term H σ . The Jiles-Atherton model should be treated as a simple tool providing approximate results for quick reference.…”

“…Hysteresis loop subject to stress becomes deformed; this property may be used in practice to estimate the averaged value of stress present in a ready-made sample, provided the measurement data for annealed (stress-free) sample is also available [7].…”

A Comparison of Two Phenomenological Descriptions of Magnetization Curves Based on T(x) Model

“…In the computations for Tables II-IV we have used the averaged values from both branches. However there is yet another important feature favouring the T (H eff ) version, namely the possibility to take into account other physical phenomena easily, for example the residual stress using Sablik's modification of the effective field, originally used as a component of the Jiles-Atherton model [21,22], but later also applied to the T (x) description [23]. In the forthcoming research we plan to carry out additional studies on the possibility to tailor up the T (H eff ) model with the aforementioned Sablik term.…”