Computation of electromagnetic forces from finite element field solutions

Benhama, A.; Williamson, A.C.; Reece, A.B.J.

doi:10.1049/cp:19960193

Cited by 9 publications

(2 citation statements)

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“…MFM numerical calculations require the coupling between magnetic field and mechanical strain to simultaneously calculate macroscopic deformation of probe cantilever in nanoscale and the turn-back of cantilever deflection to probe magnetic force [21]. For a preliminary evaluation, by coupling magnetostatics and structural mechanics, the interaction between the deflection of a steel cantilever and the probe magnetic force has been predicted to cause at most 10 −2 nm error in the detection distances, which means that cantilever deflection could be ignored in the present nanoscaled MFM simulations.…”

Section: Simulation Methodology 21 Analysis Methods Of Mfmmentioning

confidence: 99%

Magnetic Force Probe Characterizations of Nanoscaled Ferromagnetic Domains: Finite-Element Magnetostatic Simulations

Zheng

Sun

2022

Nanomaterials

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Microscopic characterization of magnetic nanomaterials by magnetic probe interacting with ferromagnetic nano-domains is proposed according to finite-element magnetostatic field simulations. Magnetic forces detected by microscopic probe are systematically investigated on magnetic moment orientation, magnetization intensity and geometry of ferromagnetic nano-domains, and especially on permanent magnetic coating thickness and tilting angle of probe, to provide a theoretical basis for developing magnetic force microscopy. Magnetic force direction is primarily determined by magnetic moment orientation of nanosample, and the tip curvature dominates magnetic force intensity that is meanwhile positively correlated with nanosample magnetization and probe magnetic coating thickness. Nanosample should reach a critical thickness determined by its transverse diameter to be capable of accurately detecting the magnetic properties of ferromagnetic nanomaterials. Magnetic force signal relies on probe inclination when the sample magnetic moment is along probe tilting direction, which, however, is not disturbed by probe inclination when sample magnetic moment is perpendicular to probe tilting plane. Within the geometry of satisfying a critical size requirement, the magnetic force can successfully image the ferromagnetic nano-domains by characterizing their sizes and magnetic moment orientations. The present study is expected to provide effective analyzing schemes and theoretical evidences for magnetic force microscopy of characterizing magnetic structures in ferromagnetic nanomaterials.

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Section: Simulation Methodology 21 Analysis Methods Of Mfmmentioning

confidence: 99%

Magnetic Force Probe Characterizations of Nanoscaled Ferromagnetic Domains: Finite-Element Magnetostatic Simulations

Zheng

Sun

2022

Nanomaterials

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“…Local forces are useful in magnetic-structural formulation where the coupling is due to magnetostrictive forces in ferromagnetic materials (Besbes et al, 1996;Delaere et al, 2001;Mohammed et al, 2002). Global or local forces in electromagnetic devices are computed using methods like Lorentz force (Ren, 1994;Woodson and Melcher, 1968), Maxwell stress-tensor (Moallem and Ong, 1990;Benhama et al, 1996;Medeiros et al, 1999), Coulomb virtual work (Coulomb and Meunier, 1984;Benhama et al, 2000), magnetizing current method (Kabashima et al, 1988;Ito et al, 1990;Henneberger et al, 1992), etc.…”

Section: Magnetic-mechanical and Magnetic-structural Couplingmentioning

confidence: 99%

Applications of coupled field formulations to electrical machinery

Kumbhar

Kulkarni

Escarela‐Perez

et al. 2007

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -This paper aims to give a perspective about the variety of techniques which are available and are being further developed in the area of coupled field formulations, with selective bibliography and practical examples, to help postgraduate students, researchers and designers working in design or analysis of electrical machinery. Design/methodology/approach -This paper reviews the recent trends in coupled field formulations. The use of these formulations for designing and non-destructive testing of electrical machinery is described, followed by their classifications, solutions and applications. Their advantages and shortcomings are discussed. Findings -The paper gives an overview of research, development and applications of coupled field formulations for electrical machinery based on more than 160 references. All landmark papers are classified. Practical engineering case studies are given which illustrate wide applicability of coupled field formulations. Research limitations/implications -Problems which continue to pose challenges to researchers are enumerated and the advantages of using the coupled-field formulation are pointed out. Practical implications -This paper gives a detailed description of the application of the coupled field formulation method to the analysis of problems that are present in different electrical machines. Examples of analysis of generators and transformers with this formulation are presented. The application examples give guidelines for its use in other analyses. Originality/value -The coupled-field formulation is used in the analysis of rotational machines and transformers where reference data are available and comparisons with other methods are performed and the advantages are justified. This paper serves as a guide for the ongoing research on coupled problems in electrical machinery.

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Magnetic Force Calculations Applied to Magnetic Force Microscopy

Preisner

Mathis

2010

Scientific Computing in Electrical Engineering SCEE 2008

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Computation of electromagnetic forces from finite element field solutions

Cited by 9 publications

References 0 publications

Magnetic Force Probe Characterizations of Nanoscaled Ferromagnetic Domains: Finite-Element Magnetostatic Simulations

Magnetic Force Probe Characterizations of Nanoscaled Ferromagnetic Domains: Finite-Element Magnetostatic Simulations

Applications of coupled field formulations to electrical machinery

Magnetic Force Calculations Applied to Magnetic Force Microscopy

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