Topologically protected steady cycles in an icelike mechanical metamaterial

Merrigan, Carl; Nisoli, Cristiano; Shokef, Yair

doi:10.1103/physrevresearch.3.023174

Cited by 13 publications

(12 citation statements)

References 46 publications

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“…A distinction can be made based on the different nature of the physical degrees of freedom; discrete spin degrees of freedom result in high energetic cost locally concentrated at specific (frustrated) interaction bonds, whereas continuous deformation degrees of freedom reduce the energetic cost by spreading the deviations from the local soft mode over the sample, see also Ref. [26].…”

Section: Mechanical Consequences Of Defects In 2d Metamaterialsmentioning

confidence: 99%

“…Hence, understanding and manipulating mechanical incompatibility opens a path toward mechanical control at the macroscopic level. When considering the directions of deformations as binary arrows, the study of building block incompatibility in mechanical metamaterials can be greatly facilitated by an analogy with geometrically-frustrated lattices [19], random spin glasses [20] and spin-ice systems [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration

et al. 2021

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Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require incompatibility of their elementary building blocks, yet a comprehensive understanding of its role remains elusive. Relying on an analogy to ferromagnetic and antiferromagnetic binary spin interactions, we present a general approach to identify and analyze topological mechanical defects for arbitrary building blocks. We underline differences between two- and three-dimensional metamaterials, and show how topological defects can steer stresses and strains in a controlled and non-trivial manner and can inspire the design of materials with hitherto unknown complex mechanical response.

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Section: Mechanical Consequences Of Defects In 2d Metamaterialsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration

et al. 2021

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“…In materials, instead, prestresses can emerge spontaneously, as the direct consequence of out-of-equilibrium processes through which they solidify, or of the external load applied during processing. Prominent examples include isotropic compressive prestress in jammed packings [3] or gels [4], shear prestress in shear jammed granular matter [5] and shear thickened dense suspensions [6], isotropic prestresses in glasses [7], and rich varieties of anisotropic prestress fields in prestressed/tensegrity metamaterials [8][9][10][11][12] and biological systems [13][14][15] [Fig. 1 (b)-(g) and (i)].…”

Section: Introductionmentioning

confidence: 99%

Prestressed elasticity of amorphous solids

Zhang¹,

Stanifer²,

Vasisht³

et al. 2021

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Prestress in amorphous solids bears the memory of their formation, and plays a profound role in their mechanical properties, from stiffening or softening elastic moduli to shifting frequencies of vibrational modes, as well as directing yielding and solidification in the nonlinear regime. Here we develop a set of mathematical tools to investigate elasticity of prestressed discrete networks, which disentangles the effects from disorder in configuration and disorder in prestress. Applying these methods to prestressed triangular lattices and a computational model of amorphous solids, we demonstrate the importance of prestress on elasticity, and reveal a number of intriguing effects caused by prestress, including strong spatial heterogeneity in stress-response unique to prestressed solids, power-law distribution of minimal dipole stiffness, and a new criterion to classify floppy modes.

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“…Ordered mechanical systems typically have one or only a few stable rest configurations, and hence are not usually considered useful for encoding memory [1,2]. On the other hand, frustrated magnetic systems can espouse an extensive manifold of quasi-degenerate configurations [3,4].…”

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confidence: 99%