Shape-programmable cantilever made of a magnetoactive elastomer of mixed content

Becker, Tatiana; Столбов, О. В.; Biller, A. M.; Borin, Dmitry; Stolbova, O S; Zimmermann, Klaus; Raǐkher, Yu. L.

doi:10.1088/1361-665x/ac8f79

Cited by 4 publications

(1 citation statement)

References 54 publications

(66 reference statements)

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“…The magnitude of the torque of elastic forces must be equal to that of the torque created by the beam magnetization. In a low field, the latter torque has two components associated with the field action on the remanent MAE magnetization and the MAE magnetization induced by the field [70,71]. For a small bend, δ ≪ 1, and at H ≪ H cr , the Euler-Bernoulli equation [63] for the rotation angle φ can be written in the form where J = bc 3 /12 is the moment of inertia with respect to the z-axis, and S = bc is the beam cross-section area.…”

Section: Euler-bernoulli Equation For Weakly Coercive Maementioning

confidence: 99%

Spontaneous change of symmetry in a magnetoactive elastomer beam at its critical bending induced by a magnetic field

Каліта

Dzhezherya

Cherepov

et al. 2023

Smart Mater. Struct.

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The features of the critical bending deformation and magnetization of a magnetoactive elastomer (MAE) beam with a fixed end in a transverse uniform magnetic field have been studied. After the beam reaches a critical bending, the symmetry of the beam shape and the symmetry of the MAE magnetic state change spontaneously. At the critical point, a continuous transition from the highly symmetric magnetic state in the unbent MAE beam to the low symmetric magnetic state in the bent MAE beam (this is the angular state with the effective magnetization inclined to the field) takes place. The beam bending occurs due to the gain in the magnetic energy of the beam. The formation of an angular magnetic state in it has a magnetoelastic origin and is characterized by the critical behavior of the mutually related bending and longitudinal effective magnetization of the MAE, but it is the magnetization that plays the role of order parameter. Furthermore, there is no longitudinal magnetization in the absence of bending and, vice versa, there is no bending in the absence of longitudinal magnetization. The influence of a low remanent magnetization, which eliminates the uncertainty in the bending direction, on the critical bending has been analyzed. The role of the magnetorheological effect, which affects the critical field magnitude and leads to the appearance of field-induced bending hysteresis near the critical point, has also been elucidated.

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Section: Euler-bernoulli Equation For Weakly Coercive Maementioning

confidence: 99%

Spontaneous change of symmetry in a magnetoactive elastomer beam at its critical bending induced by a magnetic field

Каліта

Dzhezherya

Cherepov

et al. 2023

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

A new method to characterize the nonlinear magneto-viscoelasticity behavior of magneto-active elastomers under large amplitude oscillatory axial (LAOA) loading

Vatandoost,

Sedaghati,

Rakheja

2024

Nonlinear Dyn

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The nonlinear viscoelasticity of magneto-active elastomers (MAEs) under large amplitude oscillatory shear (LAOS) loading has been extensively characterized. A reliable and effective methodology, however, is lacking for such characterizations under large amplitude oscillatory axial (LAOA) loading. This is partly due to complexities associated with experimental compression mode characterizations of MAEs and in-part due to their asymmetric stress–strain behavior leading to different elastic moduli during extension and compression. This study proposes a set of new nonlinear measures to characterize nonlinear and asymmetric behavior of MAEs subject to LAOA loading. These include differential large/zero strain moduli and large/zero strain-rate viscosity, which could also facilitate physical interpretations of the inter- and intra-cycle nonlinearities observed in asymmetric and hysteretic stress–strain responses. The compression mode stress–strain behavior of MAEs was experimentally characterized under different magnitudes of axial strain (0.025 to 0.20), strain rate (frequency up to 30 Hz) and magnetic flux density (0 to 750mT). The measured stress–strain responses were decomposed into elastic, viscous and viscoelastic stress components using Chebyshev polynomials and Fourier series. The stress decomposition based on Chebyshev polynomials permitted determination of equivalent nonlinear elastic and viscous stress components, upon which the proposed measures were obtained. An equivalent set of Fourier coefficients was also obtained for estimating equivalent elastic/viscous stress, thereby facilitating faster calculation of the proposed material measures. The proposed methodology is considered to serve as an effective tool for deriving constitutive models for describing nonlinear and asymmetric characteristics of MAEs.

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Dynamics of resonant magnetoelectric effect in a magnetoactive elastomer based cantilever: Magnetic field induced orientation transition and giant frequency tuning

Fetisov,

Savelev,

Makarova

et al. 2024

Journal of Magnetism and Magnetic Materials

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Shape-programmable cantilever made of a magnetoactive elastomer of mixed content

Cited by 4 publications

References 54 publications

Spontaneous change of symmetry in a magnetoactive elastomer beam at its critical bending induced by a magnetic field

Spontaneous change of symmetry in a magnetoactive elastomer beam at its critical bending induced by a magnetic field

A new method to characterize the nonlinear magneto-viscoelasticity behavior of magneto-active elastomers under large amplitude oscillatory axial (LAOA) loading

Dynamics of resonant magnetoelectric effect in a magnetoactive elastomer based cantilever: Magnetic field induced orientation transition and giant frequency tuning

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