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.
A reformulation of constitutive relations in the strain gradient elasticity theory for isotropic materials.International Journal of Solids and Structures, 80:28–37, February 2016
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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.