Erratum to “Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization” [J. Magnet. Magnet. Mater. 456 (2018) 423–432]

Caciagli, Alessio; Baars, Roel J.; Philipse, Albert P.; Kuipers, Martijn

doi:10.1016/j.jmmm.2018.03.068

Cited by 5 publications

(12 citation statements)

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“…Closed-form expressions proposed for themagnetic field of an axially magnetized cylindrical permanent magnet are utilized to evaluate the magnetic field B of the fixed magnet. [50] We validate the results obtained from DNI method by those of a finite element analysis (FEA) carried out in COMSOL Multiphysics and experimental tests. DNI method is fast and efficient compared to FEA and yields accurate results; therefore, it is our default method to evaluate the magnetic torque in rotational magnet pairs.…”

Section: Resultsmentioning

confidence: 62%

Magnetically Assisted Rotationally Multistable Metamaterials for Tunable Energy Trapping–Dissipation

Seyedkanani

Akbarzadeh

2022

Adv Funct Materials

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A motif for rotational multistability is developed by arranging permanent magnets in a circular pattern and creating magnet pairs with magnetically induced negative incremental torsional stiffness. Through a set of experimental and numerical studies, different means to tailor the torsional response of a rotational magnet pair are demonstrated. A magnet pair in tandem with tilted elastic arms is harnessed to form an energy-trapping rotational unit cell. By stacking several of these unit cells upon each other, a 1D rotationally multistable metamaterial capable of storing the input energy and releasing it in the form of rotational waves is developed. The periodic stable equilibrium states in rotational magnet pairs invoke the notion of cyclic multistability, which is employed here to realize, for the first time, a tunable fluid-free rotary metadamper with energy dissipation induced by repeating snap-back instabilities. High tunability of magnetic interactions offers a new design paradigm for developing reusable energy dissipative and energy trapping rotary metamaterials, the properties of which can be easily tailored in situ and even at the post-fabrication stage.

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Section: Resultsmentioning

confidence: 62%

Magnetically Assisted Rotationally Multistable Metamaterials for Tunable Energy Trapping–Dissipation

Seyedkanani

Akbarzadeh

2022

Adv Funct Materials

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“…The cylindrical tile geometry can be seen as a continuation of a previous work, which calculated the magnetic field from a 3D permanent magnetic ring [16]. The magnetic field generated by a whole cylinder is also known [17,18,19,20]. The magnetic field generated by the cylindrical tile has also been considered in the less complex case of a cylinder of infinite length, i.e.…”

Section: Introductionmentioning

confidence: 99%

The magnetic field from a homogeneously magnetized cylindrical tile

Nielsen

Bjørk

2020

Journal of Magnetism and Magnetic Materials

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“…[ 48 ], which is limited to axial magnetization, and refs. [ 49 , 50 , 51 , 52 ], which did not determine the gradient solution. Indeed, no analytical solutions were previously achieved for the gradient when considering diametric magnetization.…”

Section: Discussionmentioning

confidence: 99%

“…[ 47 ] As a matter of fact, only one exact solution has been recently disclosed for magnetic field and gradient, which is limited to the case of axial magnetization, and which anyway requires two distinct representations in order to circumvent computational singularities. [ 48 ] Moreover, some solutions for cylindrical magnets with diametric magnetization have been recently reported, whose computation, however, is hampered by singularities, [ 49 , 50 ] and which are anyway limited to the magnetic field only. [ 49 , 50 , 51 ] Furthermore, an analytical solution has been recently reported for uniformly magnetized cylindrical tiles, which, however, requires multiple representations to circumvent computational singularities, and which is nonetheless limited to magnetic field only.…”

Section: Introductionmentioning

confidence: 99%

“…[ 48 ] Moreover, some solutions for cylindrical magnets with diametric magnetization have been recently reported, whose computation, however, is hampered by singularities, [ 49 , 50 ] and which are anyway limited to the magnetic field only. [ 49 , 50 , 51 ] Furthermore, an analytical solution has been recently reported for uniformly magnetized cylindrical tiles, which, however, requires multiple representations to circumvent computational singularities, and which is nonetheless limited to magnetic field only. [ 52 ] Corresponding gaps in the expanding field of magnetic actuation remain.…”

Section: Introductionmentioning

confidence: 99%

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Exact and Computationally Robust Solutions for Cylindrical Magnets Systems with Programmable Magnetization

Masiero

Sinibaldi

2023

Advanced Science

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Magnetic systems based on permanent magnets are receiving growing attention, in particular for micro/millirobotics and biomedical applications. Their design landscape is expanded by the possibility to program magnetization, yet enabling analytical results, crucial for containing computational costs, are lacking. The dipole approximation is systematically used (and often strained), because exact and computationally robust solutions are to be unveiled even for common geometries such as cylindrical magnets, which are ubiquitously used in fundamental research and applications. In this study, exact solutions are disclosed for magnetic field and gradient of a cylindrical magnet with generic uniform magnetization, which can be robustly computed everywhere within and outside the magnet, and directly extend to magnets systems of arbitrary complexity. Based on them, exact and computationally robust solutions are unveiled for force and torque between coaxial magnets. The obtained analytical solutions overstep the dipole approximation, thus filling a long‐standing gap, and offer strong computational gains versus numerical simulations (up to 106, for the considered test‐cases). Moreover, they bridge to a variety of applications, as illustrated through a compact magnets array that could be used to advance state‐of‐the‐art biomedical tools, by creating, based on programmable magnetization patterns, circumferential and helical force traps for magnetoresponsive diagnostic/therapeutic agents.

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Erratum to “Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization” [J. Magnet. Magnet. Mater. 456 (2018) 423–432]

Cited by 5 publications

References 0 publications

Magnetically Assisted Rotationally Multistable Metamaterials for Tunable Energy Trapping–Dissipation

Magnetically Assisted Rotationally Multistable Metamaterials for Tunable Energy Trapping–Dissipation

The magnetic field from a homogeneously magnetized cylindrical tile

Exact and Computationally Robust Solutions for Cylindrical Magnets Systems with Programmable Magnetization

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