Transients and multiperiodic responses: a hierarchy of material bits

Abstract

When cyclically driven, certain disordered materials exhibit transient and multiperiodic responses that are difficult to reproduce in synthetic materials. Here, we show that elementary multiperiodic elements with period T=2, togglerons, can serve as building blocks for such responses. We experimentally realize metamaterials composed of togglerons with tunable transients and periodic responses - including odd periods. Our approach suggests a hierarchy of increasingly complex elements in frustrated media, and opens a new strategy for rational design of sequential metamaterials.

11 pages, 8 figures

References in corpus (30)

• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Memory formation in matter
• Multi-step self-guided pathways for shape-changing metamaterials
• Onset of Irreversibility and Chaos in Amorphous Solids Under Periodic Shear
• Dynamics of Snapping Beams and Jumping Poppers
• Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories
• Shape-morphing architected sheets with non-periodic cut patterns
• Glass stability changes the nature of yielding under oscillatory shear
• Multiple transient memories in experiments on sheared non-Brownian suspensions
• Networks and Hierarchies: How Amorphous Materials Learn to Remember
• Onset of Irreversibility in Cyclic Shear of Granular Packings
• Counting and Sequential Information Processing in Mechanical Metamaterials
• Complex pathways and memory in compressed corrugated sheets
• Memory from coupled instabilities in unfolded crumpled sheets
• Particle-scale reversibility in athermal particulate media below jamming
• Delayed bifurcation in elastic snap-through instabilities
• Global Memory from Local Hysteresis in an Amorphous Solid
• Multiperiodic orbits from interacting soft spots in cyclically-sheared amorphous solids
• Period proliferation in periodic states in cyclically sheared jammed solids
• Topology of the energy landscape of sheared amorphous solids and the irreversibility transition
• Classification of the reversible-irreversible transitions in particle trajectories across the jamming transition point
• State transition graph of the Preisach model and the role of return point memory
• Mechanical memories in solids, from disorder to design
• Return to return point memory
• Transient amplification of broken symmetry in elastic snap-through
• Cooperative effects driving the multi-periodic dynamics of cyclically sheared amorphous solids
• Subharmonics and Aperiodicity in Hysteresis Loops
• Minimal descriptions of cyclic memories
• Turing complete mechanical processor via automated nonlinear system design
• Generalizing multiple memories from a single drive: The hysteron latch