Memory from coupled instabilities in unfolded crumpled sheets

Abstract

Crumpling an ordinary thin sheet transforms it into a structure with unusual mechanical behaviors, such as enhanced rigidity, emission of crackling noise, slow relaxations, and memory retention. A central challenge in explaining these behaviours lies in understanding the contribution of the complex geometry of the sheet. Here, we combine cyclic driving protocols and 3D imaging to correlate the global mechanical response and the underlying geometric transformations in unfolded crumpled sheets. We find that their response to cyclic strain is intermittent, hysteretic, and encodes a memory of the largest applied compression. Using 3D imaging, we show that these behaviours emerge due to an interplay between localized and interacting geometric instabilities in the sheet. A simple model confirms that these minimal ingredients are sufficient to explain the observed behaviors. Finally, we show that after training multiple memories can be encoded, a phenomenon known as return point memory. Our study lays the foundation for understanding the complex mechanics of crumpled sheets and presents an experimental and theoretical framework for the study of memory formation in systems of interacting instabilities.

arXiv comment7 pages, 5 figures

References in corpus (30)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Crackling Noise
• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Origami Multistabilty: From Single Vertices to Metasheets
• Memory formation in matter
• Crumpling a Thin Sheet
• Isostatic phase transition and instability in stiff granular materials
• The Geometry of Crumpled Paper
• Acoustic Emission from crumpling paper
• Nonmonotonic Aging and Memory Retention in Disordered Mechanical Systems
• Generic transient memory formation in disordered systems with noise
• Networks and Hierarchies: How Amorphous Materials Learn to Remember
• Complex pathways and memory in compressed corrugated sheets
• A comparative study of crumpling and folding of thin sheets
• The Statistics of Crumpled Paper
• 3-dimensional structure of a sheet crumpled into a ball
• Universal Power Law in the Noise from a Crumpled Elastic Sheet
• Global Memory from Local Hysteresis in an Amorphous Solid
• Direct Visualization of Memory Effects in Artificial Spin Ice
• Multiple memory formation in glassy landscapes
• Branches of triangulated origami near the unfolded state
• Multiperiodic orbits from interacting soft spots in cyclically-sheared amorphous solids
• Topology of the energy landscape of sheared amorphous solids and the irreversibility transition
• The structure of state transition graphs in hysteresis models with return point memory: I. General Theory
• The spontaneous emergence of ordered phases in crumpled sheets
• Return to return point memory
• Plasticity and Aging of Folded Elastic Sheets
• Buckling and metastability in membranes with dilation arrays
• A shapeable material without plastic deformation
• Improved Magnetic Information Storage using Return-Point Memory

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• Mechanical memories in solids, from disorder to design
• Mechanical annealing and memories in a disordered solid
• Logarithmic aging via instability cascades in disordered systems
• Cooperative effects driving the multi-periodic dynamics of cyclically sheared amorphous solids
• Learning to self-fold at a bifurcation
• Dissipation indicates memory formation in driven disordered systems
• Generalizing multiple memories from a single drive: The hysteron latch
• 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
• Drive-specific adaptation in disordered mechanical networks of bistable springs
• Transition Graphs of Interacting Hysterons: Structure, Design, Organization and Statistics
• Curvature as an external field in mechanical antiferromagnets
• Self-organization and memory in an disordered solid subject to random loading
• Bifurcation instructed design of multistate machines
• Dynamics of Fluctuating Thin Sheets Under Random Forcing
• A wrinkled cylindrical shell as a tunable locking material
• Prospecting for Pluripotency in Metamaterial Design
• Far-from-equilibrium complex landscapes
• Dynamic driving enables independent control of material bits for targeted memory
• Memory in cyclically crumpled sheets
• A catastrophic approach to designing interacting hysterons
• Transients and multiperiodic responses: a hierarchy of material bits
• Yielding versus random organization: convex absorbing transitions in soft matter
• Instability cascades in crumpling mylar sheets follow a log-Poisson statistic
• Ordered buckling structures in a twisted crimped tube