A magnetoelastic theory for Kirchhoff rods having uniformly distributed paramagnetic inclusions and its buckling

Barreto, Darius Diogo; Saxena, Shashank; Kumar, Ajeet

doi:10.1016/j.ijsolstr.2021.111147

Cited by 3 publications

(2 citation statements)

References 30 publications

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“…Coefficients α 0 and k i in formula (23) are found by numerical minimisation of the discrepancy between function (23) and the measurement data: ||z top − z top exp || → min for each MS filler concentration ϕ MS and each applied field value H 0 . As a result, for each of the four studied cantilevers, smooth interpolation functions of the measurement data are constructed approximating the experimental bending shapes with good accuracy for all field values, which is convenient for further comparison with the results of the numerical simulation.…”

Section: Functional Approximation For the Measurement Datamentioning

confidence: 99%

“…By now, the main amount of knowledge has been accumulated on the cantilevers made of MAEs-MS, they were the first to become a focus of interest. One may find detailed experimental data [12][13][14][15][16][17][18][19][20][21] together with numerous publications on the theory and numerical simulation [17,18,22,23]. The given references are just examples, the full list is far too long.…”

Section: Introductionmentioning

confidence: 99%

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

Becker

Столбов

Biller

et al. 2022

Smart Mater. Struct.

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This work presents an approach to the macroscopic field-controlled mechanics of magnetoactive elastomers of mixed content, which are a special type of smart materials made of an elastic composite and a combination of two essentially different ferromagnetic fillers. High-coercive particles of NdFeB-alloy powder for the magnetically hard filler and carbonyl iron powder particles with nearly zero coercivity for the magnetically soft filler are usually used. The magnetically hard particles are tens-of-micron in size and impart to the elastomer a remanent magnetisation, whereas due to the magnetically soft particles of several microns in size, the elastomer acquires a high magnetic susceptibility. Since large magnetically hard particles once magnetised in a strong field possess their own fields to which the magnetically soft particles are susceptible, the overall elastomer magnetisation as well as its mechanical response greatly depends on the relative concentration of both fillers. This work particularly studies the bending deformation of horizontally fixed magnetoactive cantilevers with the permanent magnetisation along the length axis under the action of gravity and a vertically applied uniform magnetic field. The cantilevers of the same geometry and fixed NdFeB content but different carbonyl iron concentration are considered. The magnetomechanical model is developed based on the finite-strain theory assuming the plane-stress approximation of the two-dimensional cantilever of infinite width. The magnetic energy comprises two magnetic terms, one of which is qualitatively linear and the other one is quadratic in the applied field strength. The numerically calculated field-programmed equilibrium bending shapes of the cantilevers are compared with the experimentally observed shapes. The model provides good agreement with the experiment up to moderate concentrations of the magnetically soft filler, when the coefficients of customary interpolation formulas for the concentration dependencies of elastic modulus and magnetic susceptibility are properly adjusted.

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Section: Functional Approximation For the Measurement Datamentioning

confidence: 99%