ArticleNature communications2023
Non-reciprocal and non-Newtonian mechanical metamaterials.
Article in Nature communications, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
What it found
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Who cites it
7 citing papers in PubMed.
- Active Metamaterials with Tunable Shear Nonreciprocity and Nonlinear Dynamics.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Rotary Electromechanical System Integrating Non-Reciprocal Memory and Combinational Logic.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Mechanical non-reciprocity programmed by shear jamming in soft composite solids.Nature materials · 2026Article
- Cut-Enabled Mechanical Metamaterials for Multimodal and Reprogrammable Static Nonreciprocity.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Mechanical Metamaterial-Based Structure with Magnetically Controlled Nonreversibility and Nonreciprocity for Programmable Locomotion.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Self-Oscillation in Active Wires with Asymmetric Willis-Type Viscosity.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Programmable nonreciprocal Poynting effect enabled by lattice metamaterials.Science advances · 2024Article
Corrections and comments
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Authors and funding
6 authors.
Funding
Abstract
Non-Newtonian liquids are characterized by stress and velocity-dependent dynamical response. In elasticity, and in particular, in the field of phononics, reciprocity in the equations acts against obtaining a directional response for passive media. Active stimuli-responsive materials have been conceived to overcome it. Significantly, Milton and Willis have shown theoretically in 2007 that quasi-rigid bodies containing masses at resonance can display a very rich dynamical behavior, hence opening a route toward the design of non-reciprocal and non-Newtonian metamaterials. In this paper, we design a solid structure that displays unidirectional shock resistance, thus going beyond Newton's second law in analogy to non-Newtonian fluids. We design the mechanical metamaterial with finite element analysis and fabricate it using three-dimensional printing at the centimetric scale (with fused deposition modeling) and at the micrometric scale (with two-photon lithography). The non-Newtonian elastic response is measured via dynamical velocity-dependent experiments. Reversing the direction of the impact, we further highlight the intrinsic non-reciprocal response.
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Registered trials
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