On a class of constitutive relations for ferromagnetic hysteresis

DOI10.1007/BF00282052zbMath0631.73093OpenAlexW2012382108MaRDI QIDQ1094941

Bernard D. Coleman, Marion L. Hodgdon

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00282052

zbMATH Keywords

magnetic fieldconstitutive relationmagnetic flux densityunidimensionalferromagnetic hysteresisrate independentfirst order ordinary piecewise linear differential equationgeneral oscillationsstability of loopsunique primitive hysteresis loop

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Electromagnetic theory (general) (78A25) Theory of constitutive functions in solid mechanics (74A20)

Related Items (12)

On the Correspondence between Micromechanical Models for Isothermal Pseudoelastic Response of Shape Memory Alloys and the Preisach Model for Hysteresis ⋮ Differential equations with hysteresis operators. existence of solutions, stability, and oscillations ⋮ Stability of systems with the duhem hysteresis operator: The dissipativity approach ⋮ Models of hysteresis ⋮ Constitutive relations for magnetomechanical hysteresis in ferromagnetic materials ⋮ Model predictive control with fatigue-damage minimization through the dissipativity property of hysteresis operators ⋮ The scientific work of Bernard D. Coleman ⋮ A thermodynamic approach to hysteretic models in ferroelectrics ⋮ A new model for rate-independent hysteresis in permanent magnets ⋮ A constitutive model for hysteretic phase transition behavior ⋮ Neural network-based adaptive control of piezoelectric actuators with unknown hysteresis ⋮ A history-differential model for ferromagnetic hysteresis

Cites Work

• A constitutive relation for rate-independent hysteresis in ferromagnetically soft materials
• A mathematical foundation for thermodynamics
• On thermodynamics and elastic-plastic materials
• On thermodynamics and intrinsically equilibrated materials

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