Complex pathways and memory in compressed corrugated sheets

Abstract

The nonlinear response of driven complex materials -- disordered magnets, amorphous media, crumpled sheets -- features intricate transition pathways where the system repeatedly hops between metastable states. % which encode memory effects. Such pathways encode memory effects and may allow information processing -- yet tools are lacking to experimentally observe and control these pathways, and their full breadth has not been explored. Here we introduce compression of corrugated elastic sheets to precisely observe and manipulate {their full}, multi-step pathways, which are reproducible, robust,and controlled by geometry. We show how manipulation of the boundaries allows to elicit multiple targeted pathways from a single sample. In all cases, each state in the pathway can be encoded by the binary state of material 'bits' called hysterons, and the strength of their interactions plays a crucial role. In particular, as function of increasing interaction strength, we observe Preisach pathways, expected in systems of independently switching hysterons, 'scrambled' pathways that evidence hitherto unexplored interactions between these material bits, and 'accumulator' pathways which leverage these interactions to perform an elementary computation. Our work opens a route to probe, manipulate and understand complex pathways, impacting future applications in soft robotics and information processing in materials.

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Cited by in corpus (25)

• Counting and Sequential Information Processing in Mechanical Metamaterials
• Memory from coupled instabilities in unfolded crumpled sheets
• Emergent Disorder and Mechanical Memory in Periodic Metamaterials
• Sequential Snapping and Pathways in a Mechanical Metamaterial
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Mechanical memories in solids, from disorder to design
• Cooperative effects driving the multi-periodic dynamics of cyclically sheared amorphous solids
• Dissipation indicates memory formation in driven disordered systems
• Generalizing multiple memories from a single drive: The hysteron latch
• Roadmap for Animate Matter
• Competition between energy and dynamics in memory formation
• Bifurcations of inflating balloons and interacting hysterons
• Geometric control and memory in networks of hysteretic elements
• Embodying mechano-fluidic memory in soft machines to program behaviors upon interactions
• Transition Graphs of Interacting Hysterons: Structure, Design, Organization and Statistics
• Evidence of Athermal Metastable Phase in a Halide Perovskite: Optically Tracked Thermal-Breach Memory
• Curvature as an external field in mechanical antiferromagnets
• Bifurcation instructed design of multistate machines
• Prospecting for Pluripotency in Metamaterial Design
• Dynamic driving enables independent control of material bits for targeted memory
• Far-from-equilibrium complex landscapes
• A catastrophic approach to designing interacting hysterons
• Mechano-optical metasurfaces
• Transients and multiperiodic responses: a hierarchy of material bits
• Accelerated snapping of slender beams under lateral forcing