Nonlinear Topological Mechanics in Elliptically Geared Isostatic Metamaterials

Abstract

Despite the extensive studies of topological systems, the experimental characterizations of strongly nonlinear topological phases have been lagging. To address this shortcoming, we design and build elliptically geared isostatic metamaterials. Their nonlinear topological transitions can be realized by collective soliton motions, which stem from the transition of nonlinear Berry phase. Endowed by the intrinsic nonlinear topological mechanics, surface polar elasticity and dislocation-bound zero modes can be created or annihilated as the topological polarization reverses orientation. Our approach integrates topological physics with strongly nonlinear mechanics and promises multi-phase structures at the micro and macro scales.

5+19 pages, 4+20 figures

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Cited by in corpus (7)

• Transition from topological to chaos in the nonlinear Su-Schrieffer-Heeger model
• Fully-Polarized Topological Isostatic Metamaterials in Three Dimensions
• Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
• Classifying topological floppy modes in the continuum
• 3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Transformable Super-Isostatic Crystals Self-Assembled from Segment Colloidal Rods