A hybrid finite element framework combining 1D Timoshenko beam theory with 2D magnetostatics shows significant external magnetic flux density around bending piezo-flexomagnetic nanobeams even without piezomagnetic coupling.
Size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeams.Meccanica, 57(7):1505–1518, July 2022
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Evaluation of External Magnetic Flux Density in Piezo-Flexomagnetic Nanobeams Using a Hybrid 1D-2D Finite Element Framework
A hybrid finite element framework combining 1D Timoshenko beam theory with 2D magnetostatics shows significant external magnetic flux density around bending piezo-flexomagnetic nanobeams even without piezomagnetic coupling.