A reduced-order, rotation-based model for thin hard-magnetic plates

We develop a reduced-order model for thin plates made of hard magnetorheological elastomers (hard-MREs), which are composed hard-magnetic particles embedded in polymeric matrix. First, we propose new magnetic potential, as an alternative to existing torque-based 3D continuum theory hard-MREs, obtained by reformulating the remnant magnetization deformed hard-MRE body. Specifically, magnetizations initial and current configurations related rotation tensor decomposed from deformation gradient, independently stretching deformation, motivated recently reported observations microscopic homogenization simulations. Then, derive 2D plate through dimensional reduction our proposed rotation-based theory. For comparison, also provide second derived Finally, perform precision experiments thoroughly evaluate models on under various mechanical loading conditions. demonstrate that modification potential is crucial correctly capturing behavior subjected applied field aligned with magnetization, undergoing in-plane stretching. In all tested cases, yield predictions excellent quantitative agreement can thus serve predictive tools rational design structures.