A 3D-printed structure called a kagome tube could form the backbone of a new system for muffling damaging vibrations. The structure is part of a class of materials known as topological mechanical metamaterials, and unlike previous materials in this group, it is simple enough to be deployed in real-world situations. According to lead developer James McInerney of the Wright-Patterson Air Force Base in Ohio, US, it could be used as shock protection for sensitive systems found in civil and aerospace engineering applications.

McInerney and colleagues’ tube-like design is made from a lattice of beams arranged in such a way that low-energy vibrational modes called floppy modes become localized to one side. “This provides good properties for isolating vibrations because energy input into the system on the floppy side does not propagate to the other side,” McInerney says.

The key to this desirable behaviour, he explains, is the arrangement of the beams that form the lattice structure. Using a pattern first proposed by the 19^th century physicist James Clerk Maxwell, the beams are organized into repeating sub-units to form stable, two-dimensional structures known as topological Maxwell lattices.

Self-supporting design

Previous versions of these lattices could not support their own weight. Instead, they were attached to rigid external mounts, making it impractical to integrate them into devices. The new design, in contrast, is made by folding a flat Maxwell lattice into a cylindrical tube that is self-supporting. The tube features a connected inner and outer layer – a kagome bilayer – and its radius can be precisely engineered to give it the topological behaviour desired.

The researchers, who detail their work in Physical Review Applied, first tested their structure numerically by attaching a virtual version to a mechanically sensitive sample and a source of low-energy vibrations. As expected, the tube diverted the vibrations away from the sample and towards the other end of the tube.

Next, they developed a simple spring-and-mass model to understand the tube’s geometry by considering it as a simple monolayer. This modelling indicated that the polarization of the tube should be similar to the polarization of the monolayer. They then added rigid connectors to the tube’s ends and used a finite-element method to calculate the frequency-dependent patterns of vibrations propagating across the structure. They also determined the effective stiffness of the lattice as they applied loads parallel and perpendicular to it.

The researchers are targeting vibration-isolation applications that would benefit from a passive support structure, especially in cases where the performance of alternative passive mechanisms, such as viscoelastomers, is temperature-limited. “Our tubes do not necessarily need to replace other vibration isolation mechanisms,” McInerney explains. “Rather, they can enhance the capabilities of these by having the load-bearing structure assist with isolation.”

The team’s first and most important task, McInerney adds, will be to explore the implications of physically mounting the kagome tube on its vibration isolation structures. “The numerical study in our paper uses idealized mounting conditions so that the input and output are perfectly in phase with the tube vibrations,” he says. “Accounting for the potential impedance mismatch between the mounts and the tube will enable us to experimentally validate our work and provide realistic design scenarios.”

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By simply placing two identical elastic metasurfaces atop each other and then rotating them relative to each other, the topology of the elastic waves dispersing through the resulting stacked structure can be changed – from elliptic to hyperbolic. This new control technique, from physicists at the CUNY Advanced Science Research Center in the US, works over a broad frequency range and has been dubbed “twistelastics”. It could allow for advanced reconfigurable phononic devices with potential applications in microelectronics, ultrasound sensing and microfluidics.

The researchers, led by Andrea Alù, say they were inspired by the recent advances in “twistronics” and its “profound impact” on electronic and photonic systems. “Our goal in this work was to explore whether similar twist-induced topological phenomena could be harnessed in elastodynamics in which phonons (vibrations of the crystal lattice) play a central role,” says Alù.

In twistelastics, the rotations between layers of identical, elastic engineered surfaces are used to manipulate how mechanical waves travel through the materials. The new approach, say the CUNY researchers, allows them to reconfigure the behaviour of these waves and precisely control them. “This opens the door to new technologies for sensing, communication and signal processing,” says Alù.

From elliptic to hyperbolic

In their work, the researchers used computer simulations to design metasurfaces patterned with micron-sized pillars. When they stacked one such metasurface atop the other and rotated them at different angles, the resulting combined structure changed the way phonons spread. Indeed, their dispersion topology went from elliptic to hyperbolic.

At a specific rotation angle, known as the “magic angle” (just like in twistronics), the waves become highly focused and begin to travel in one direction. This effect could allow for more efficient signal processing, says Alù, with the signals being easier to control over a wide range of frequencies.

The new twistelastic platform offers broadband, reconfigurable, and robust control over phonon propagation,” he tells Physics World. “This may be highly useful for a wide range of application areas, including surface acoustic wave (SAW) technologies, ultrasound imaging and sensing, microfluidic particle manipulation and on-chip phononic signal processing.

New frontiers

Since the twist-induced transitions are topologically protected, again like in twistronics, the system is resilient to fabrication imperfections, meaning it can be miniaturized and integrated into real-world devices, he adds. “We are part of an exciting science and technology centre called ‘New Frontiers of Sound’, of which I am one of the leaders. The goal of this ambitious centre is to develop new acoustic platforms for the above applications enabling disruptive advances for these technologies.”

Looking ahead, the researchers say they are looking into miniaturizing their metasurface design for integration into microelectromechanical systems (MEMS). They will also be studying multi-layer twistelastic architectures to improve how they can control wave propagation and investigating active tuning mechanisms, such as electromechanical actuation, to dynamically control twist angles. “Adding piezoelectric phenomena for further control and coupling to the electromagnetic waves,” is also on the agenda says Alù.

The present work is detailed in PNAS.

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This episode explores the scientific and technological significance of 2D materials such as graphene. My guest is Antonio Rossi, who is a researcher in 2D materials engineering at the Italian Institute of Technology in Genoa.

Rossi explains why 2D materials are fundamentally different than their 3D counterparts – and how these differences are driving scientific progress and the development of new and exciting technologies.

Graphene is the most famous 2D material and Rossi talks about today’s real-world applications of graphene in coatings. We also chat about the challenges facing scientists and engineers who are trying to exploit graphene’s unique electronic properties.

Rossi’s current research focuses on two other promising 2D materials – tungsten disulphide and hexagonal boron nitride. He explains why tungsten disulphide shows great technological promise because of its favourable electronic and optical properties; and why hexagonal boron nitride is emerging as an ideal substrate for creating 2D devices.

Artificial intelligence (AI) is becoming an important tool in developing new 2D materials. Rossi explains how his team is developing feedback loops that connect AI with the fabrication and characterization of new materials. Our conversation also touches on the use of 2D materials in quantum science and technology.

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