Fractional approach to dynamic magnetic power losses in low-carbon steel under static mechanical stress and alternating magnetic field

Benjamin Ducharne, Abderraouf Ouazib, Mathieu Domenjoud, Patrick Fagan and Laurent Daniel

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 243, issue C, 468-482

Abstract: This study extends an analytical fractional approach for describing magnetic losses to thick, low-carbon steel specimens, focusing on the influence of uniaxial mechanical stress on magnetic loss variations. The main objective is to develop a simple, yet accurate analytical model for describing magnetic losses in a low-carbon steel under static mechanical stress. The model is based on a fractional-order approach that captures the material’s dissipative behavior across a wide range of frequencies and stress levels.

Keywords: Fractional derivatives; Dissipation; Magnetic losses; Electrical conductivity; Magnetic hysteresis; Uniaxial tensile stress (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:243:y:2026:i:c:p:468-482

DOI: 10.1016/j.matcom.2025.12.003

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