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Mechanical metamaterials owe their extraordinary properties and functionalities to their micro-/nanoscale design of which shape, including both geometry and topology, is perhaps the most important aspect. 4D printing enables programmed,…

Soft Condensed Matter · Physics 2021-05-25 Amir A. Zadpoor

Topological mechanics can realize soft modes in mechanical metamaterials in which the number of degrees of freedom for particle motion is finely balanced by the constraints provided by interparticle interactions. However, solid objects are…

Soft Condensed Matter · Physics 2021-03-03 Hridesh Kedia , Anton Souslov , D. Zeb Rocklin

Mechanical metamaterials are artificial composites with tunable advanced mechanical properties. Particularly interesting types of mechanical metamaterials are flexible metamaterials, which harness internal rotations and instabilities to…

Soft Condensed Matter · Physics 2020-01-15 David M. J. Dykstra , Joris Busink , Bernard Ennis , Corentin Coulais

In simulations, particles are traditionally treated as rigid platforms with variable sizes, shapes and interaction parameters. While this representation is applicable for rigid core platforms, particles consisting of soft platforms (e.g.…

Soft Condensed Matter · Physics 2024-08-06 Massimiliano Paesani , Ioana M. Ilie

Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials. A new class of metamaterials is proposed, whose…

Applied Physics · Physics 2022-07-22 Marius Wagner , Fabian Schwarz , Nick Huber , Lena Geistlich , Henning Galinski , Ralph Spolenak

Mechanical metamaterials are engineered materials that gain their remarkable mechanical properties, such as negative Poisson's ratios, negative compressibility, phononic bandgaps, and topological phonon modes, from their structure rather…

Soft Condensed Matter · Physics 2017-03-07 D. Zeb Rocklin , Shangnan Zhou , Kai Sun , Xiaoming Mao

Mechanical metamaterials are artificial structures with unusual properties, such as negative Poisson ratio, bistability or tunable vibrational properties, that originate in the geometry of their unit cell. At the heart of such unusual…

Soft Condensed Matter · Physics 2015-04-27 Jayson Paulose , Bryan Gin-ge Chen , Vincenzo Vitelli

Topological states can be used to control the mechanical properties of a material along an edge or around a localized defect. The surface rigidity of elastic networks is characterized by a bulk topological invariant called the polarization;…

Soft Condensed Matter · Physics 2018-03-02 Guido Baardink , Anton Souslov , Jayson Paulose , Vincenzo Vitelli

There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the…

Analysis of PDEs · Mathematics 2025-11-10 Xuenan Li , Robert V. Kohn

Advances in 3D printing technology now enable the precise positioning of microscopic material voxels to form complex structures. Combined with emerging multi-material capabilities and printable responsive materials, this opens new…

Soft Condensed Matter · Physics 2025-03-17 Ido Levin , Ela Sachyani , Rama Lieberman , Noa Battat , Eran Sharon , Shlomo Magdassi

Basket weaving is a traditional craft used to create practical three-dimensional (3D) structures. While the geometry and aesthetics of baskets have received considerable attention, the underlying mechanics and modern engineering potential…

Soft Condensed Matter · Physics 2025-07-02 Guowei Wayne Tu , Evgueni T. Filipov

We develop a framework to understand the mechanics of metamaterial sheets on curved surfaces. Here we have constructed a continuum elastic theory of mechanical metamaterials by introducing an auxiliary, scalar gauge-like field that absorbs…

Soft Condensed Matter · Physics 2023-11-02 Sourav Roy , C. D. Santangelo

The structural complexity of metamaterials is limitless, although in practice, most designs comprise periodic architectures which lead to materials with spatially homogeneous features. More advanced tasks, arising in e.g. soft robotics,…

Soft Condensed Matter · Physics 2016-08-03 Corentin Coulais , Eial Teomy , Koen de Reus , Yair Shokef , Martin van Hecke

From the pragmatic to the symbolic, textiles play a prominent role in some of the most demanding yet ubiquitous scenarios, such as covering the complex and dynamic geometries of the human body. Textiles are made by repeated manipulations of…

Soft Condensed Matter · Physics 2024-04-08 Lauren Dreier , Trevor J. Jones , Abigail Plummer , Andrej Košmrlj , P. -T. Brun

Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible metamaterials often contain an additional approximate…

Soft Condensed Matter · Physics 2022-02-02 Michael Czajkowski , Corentin Coulais , Martin van Hecke , D. Zeb Rocklin

Mechanical metamaterials can be designed to exhibit unique mechanical properties, including tunable auxetic behavior as well as multi-stability, which arise from the geometry and configuration of the constituent building blocks.…

Soft Condensed Matter · Physics 2026-01-22 Jochem G. Meijer , Faadil Shaik , Heinrich M. Jaeger

Acoustic metamaterials offer exceptional control over wave propagation, but their potential remains unfulfilled due to fabrication constraints. Conventional processes yield mostly rigid, planar structures, whereas soft-matter alternatives…

Soft Condensed Matter · Physics 2026-02-03 Thomas Daunizeau , David Gueorguiev , Vincent Hayward , Allison Okamura , Sinan Haliyo

The classification of materials into insulators and conductors has been shaken up by the discovery of topological insulators that conduct robustly at the edge but not in the bulk. In mechanics, designating a material as insulating or…

Soft Condensed Matter · Physics 2016-11-15 Anne S. Meeussen , Jayson Paulose , Vincenzo Vitelli

Very soft grain assemblies have unique shape-changing capabilities that allow them to be compressed far beyond the rigid jammed state by filling void spaces more effectively. However, accurately following the formation of these systems by…

Deployable structures, essential across various engineering applications ranging from umbrellas to satellites, are evolving to include soft, morphable designs where geometry drives transformation. However, a major challenge for soft…

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