Wrinkling of soft magneto-active plates

Coupled magneto-mechanical wrinkling has appeared in many scenarios of engineering and biology. Hence, soft magneto-active (SMA) plates buckle when subject to critical uniform magnetic field normal their wide surface. Here, we provide a systematic analysis the SMA an in-plane mechanical load transverse field?. We consider two loading modes: plane-strain uni-axial loading, models magneto-sensitive plates: neo-Hookean ideal magneto-elastic model magnetization saturation Langevin model. Our relies on theory nonlinear magneto-elasticity associated linearized for superimposed perturbations. derive Stroh formulation governing equations wrinkling, combine it with surface impedance method obtain explicitly bifurcation identifying onset symmetric antisymmetric wrinkles. also analytical expressions instability thin- thick-plate limits. For thin plates, make link classical Euler buckling solutions. perform exhaustive numerical elucidate effects mode, amplitude, static response diagrams. find that modes always occur before modes. Increasing pre-compression or heightening destabilizing effect while enhances stability. show solutions are good approximation exact curves plates.