Slit-snapping and multistability in buckled beams with partial cuts (2509.07696v1)

Abstract: Elastic instabilities such as buckling and snapping have evolved into a powerful design principle, enabling memory, sequential shape morphing, and computing in metamaterials and devices. Modifying the post-buckling configurations or their snapping transitions would greatly expand design possibilities, yet general principles for controlling elastic instabilities are lacking. Here, we show that adding a partial cut, or slit, to a flexible beam enables precise control of post-buckling behavior: under compression, slit-beams first buckle, then snap, leading to trista-bility within the hysteretic regime. A truss model explains these phenomena by uncovering the interplay of geometric and slit induced nonlinearities. Leveraging these insights, we realize multi-slit beams with programmable behavior, unlocking a vast design space featuring giant hysteresis, quadstability, multi-step snapping, tristability at zero compression, and compression-induced snapping between left and right-buckled states. Our strategy is general, simple to design and implement, and enables mechanical metamaterials and devices with advanced memory and sequential behavior.