Shaping dynamical folding and misfolding pathways in mechanical metamaterials

Abstract

The design of desired behaviors in mechanical metamaterials has produced remarkable advances but has generally neglected two aspects - the inevitable presence of undesired behaviors and the role of dynamics in avoiding such behaviors. Inspired by similar hurdles in molecular self-assembly and protein folding, we derive design principles to shape dynamical folding and misfolding pathways in disordered mechanical systems. We show that such pathways, i.e., sequences of states traversed at a finite rate, are determined by the bifurcation structure of configuration space which, in turn, can be tuned using imperfections such as stiff joints. We apply these ideas to completely eliminate the exponentially many ways of misfolding a self-folding sheet by making some creases stiffer than others. Our approach also shows how folding at different rates can controllably target different desired behaviors.

arXiv comment7 pages, 4 figures

References in corpus (12)

• Programmable Mechanical Metamaterials
• Programming Curvature using Origami Tessellations
• Generality of shear thickening in suspensions
• Origami Multistabilty: From Single Vertices to Metasheets
• Nonlinear conduction via solitons in a topological mechanical insulator
• Multi-step self-guided pathways for shape-changing metamaterials
• Tunable Shear Thickening in Suspensions
• Evidence of evolutionary selection for co-translational folding
• Robust protein-protein interactions in crowded cellular environments
• Branches of triangulated origami near the unfolded state
• A shapeable material without plastic deformation
• Folding mechanisms at finite temperature

Cited by in corpus (17)

• Learning without neurons in physical systems
• Demonstration of Decentralized, Physics-Driven Learning
• Counting and Sequential Information Processing in Mechanical Metamaterials
• Supervised learning in a mechanical system
• Supervised learning in physical networks: From machine learning to learning machines
• Sequential Snapping and Pathways in a Mechanical Metamaterial
• The Extreme Mechanics of Viscoelastic Metamaterials
• Non-Euclidean Origami
• Design of pseudo-mechanisms and multistable units for mechanical metamaterials
• Desynchronous Learning in a Physics-Driven Learning Network
• The Physical Effects of Learning
• Learning to self-fold at a bifurcation
• Design of Large Sequential Conformational Change in Mechanical Networks
• Memory in cyclically crumpled sheets
• Profusion of Transition Pathways for Interacting Hysterons
• Optimal face-to-face coupling for fast self-folding kirigami
• Physical learning beyond the quasistatic limit