Flexomagnetic and Flexoantiferromagnetic Effects in Centrosymmetric Antiferromagnetic Materials

Kabychenkov, A. F.; Lisovskii, F. V.

doi:10.1134/s1063784219070144

Cited by 21 publications

(9 citation statements)

References 3 publications

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“…in which q M is a density of magnetic quadrupoles. Interestingly, one can also get flexoantiferromagnetism, where strain gradients cause a gradient of the antiferromagnetic moment and hence generate a net magnetic field [18]. We remark that pairs antiferromagnetic moments can be considered as magnetic quadrupoles.…”

Section: Cosserat Elasticitymentioning

confidence: 92%

A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients

Milton¹

2020

Preprint

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Section: Cosserat Elasticitymentioning

confidence: 92%

A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients

Milton¹

2020

Preprint

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“…Pursuing [1][2][3], we briefly introduce constitutive relations for flexomagnetic material. In the following, we assume infinitesimal deformations under isothermal conditions.…”

Section: Constitutive Relations For Piezo-flexomagnetic Solidsmentioning

confidence: 99%

“…Flexomagneticity arises through elastic strain gradient or magnetic field gradient during electric magnetization in the magneto-elastic coupling in smart structures and actuators [1][2][3]. Such an effect should be significant in nano electro-mechanical systems (NEMS) and other smart sensors and actuators.…”

Section: Introductionmentioning

confidence: 99%

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

2020

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We investigated the stability of an axially loaded Euler–Bernoulli porous nanobeam considering the flexomagnetic material properties. The flexomagneticity relates to the magnetization with strain gradients. Here we assume both piezomagnetic and flexomagnetic phenomena are coupled simultaneously with elastic relations in an inverse magnetization. Similar to flexoelectricity, the flexomagneticity is a size-dependent property. Therefore, its effect is more pronounced at small scales. We merge the stability equation with a nonlocal model of the strain gradient elasticity. The Navier sinusoidal transverse deflection is employed to attain the critical buckling load. Furthermore, different types of axial symmetric and asymmetric porosity distributions are studied. It was revealed that regardless of the high magnetic field, one can realize the flexomagnetic effect at a small scale. We demonstrate as well that for the larger thicknesses a difference between responses of piezomagnetic and piezo-flexomagnetic nanobeams would not be significant.

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“…The difference is that flexomagnetic is a pervasive effect on all materials with any symmetry, the discovery of which dates back to the current decade. Flexomagneticity is the coupling between the polarization and the strain gradient, but piezomagneticity is the coupling between the polarization and the strain itself [16][17][18][19][20][21][22][23]. The small-scale theme is the main debate in MMPs technology, which shows the more effective role of flexomagneticity.…”

Section: Introductionmentioning

confidence: 99%

On thermal stability of piezo-flexomagnetic microbeams considering different temperature distributions

Malikan

Wiczenbach

Eremeyev

2021

Continuum Mech. Thermodyn.

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By relying on the Euler–Bernoulli beam model and energy variational formula, we indicate critical temperature causes in the buckling of piezo-flexomagnetic microscale beams. The corresponding size-dependent approach is underlying as a second strain gradient theory. Small deformations of elastic solids are assessed, and the mathematical discussion is linear. Regardless of the pyromagnetic effects, the thermal loading of the thermal environment varies in three states along with the thickness, which is linear, uniform, and parabolic forms. We then establish the results by developing consistent shape functions that independently evaluate boundary conditions. Next, we analytically develop and explore the effective properties of the studied beam concerning vital factors. It was achieved that piezomagnetic-flexomagnetic microbeams are more affected by the thermal environment while the thermal loading is parabolically distributed across the thickness, particularly when the boundaries involve simple supports.

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Flexomagnetic and Flexoantiferromagnetic Effects in Centrosymmetric Antiferromagnetic Materials

Cited by 21 publications

References 3 publications

A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients

A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

On thermal stability of piezo-flexomagnetic microbeams considering different temperature distributions

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