Effect of Stress on the Law of Approach to Saturation Magnetization in Carbon Steels

Tomoaki Utsunomiya, Hidekazu Nishizawa, Kiyoshi Kaneta

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8 Citations (Scopus)


In high fields, standard theoretical treatment leads to formulas I = Is - b/H2 – c/H3 • •• or μrev = 1 + (2b/H3 + 3c/H4 + • ••)/u0, which are referred to as the law of approach to saturation magnetization. Following the calculation by Becker and Döring, the coefficient b for a cubic crystal has been deduced as b = 0.0762/Is[K + 1.5(λ.100 – λ111)σ]2, where a is the applied stress and others are magnetic constants. The values of reversible permeability μrev under biasing field H were measured for carbon steels with applied stresses. The results showed that the square root of 2b changed linearly with the applied stress as the theory predicted. The values of magnetic constants K and λ100 – λ111 were calculated on the basis of the theoretical formulas. They agreed with the standard values, but they were affected by chemical composition and heat treatment of materials, especially in λ100 – λ111.

Original languageEnglish
Pages (from-to)3420-3425
Number of pages6
JournalIEEE Transactions on Magnetics
Issue number3
Publication statusPublished - May 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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