A geometrically exact model for thin magneto-elastic shells

We develop a reduced model for hard-magnetic, thin, linear-elastic shells that can be actuated through an external magnetic field, with geometrically exact strain measures. Assuming kinematics based on the Kirchhoff–Love assumption, we derive two-dimensional magneto-elastic energy minimized numerical analysis. In parallel, simplify by expanding it up to second order in displacement field and provide physical interpretation. Our theoretical analysis allows us identify interpret two primary mechanisms dictating response: combination of equivalent pressure forces at first order, distributed torques order. contrast our framework against three-dimensional nonlinear investigating three test cases involving indentation buckling under loading. find excellent agreement between approaches, thereby verifying undergoing non-axisymmetric deformations. believe will serve as valuable tool rational design structures, enriching set models. • magneto-active 3D deformation. The is interpreted potential torques. provides understanding coupling curved geometries. results from theory FEM model. 2D ten times faster than its counterpart.