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

Highlights: [•] DRBEM solution for this problem is a new application. [•] Induced magnetic field is also taken into consideration. [•] MHD flow and heat transfer are considered in a porous medium. [Copyright &y& Elsevier]