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Rigorous theories connecting physical properties of a heterogeneous material to its microstructure offer a promising avenue to guide the computational material design and optimization. We present here an efficient Fourier-space based…

Materials Science · Physics 2024-12-13 Wenlong Shi , Yang Jiao , Salvatore Torquato

Periodic configurations have dominated the design of phononic and elastic-acoustic metamaterial structures for the past decades. Unlike periodic crystals, quasicrystals lack translational symmetry but are unrestricted in rotational…

Applied Physics · Physics 2021-09-01 Danilo Beli , Matheus I. N. Rosa , Carlos De Marqui , Massimo Ruzzene

From biological organs to soft robotics, highly deformable materials are essential components of natural and engineered systems. These highly deformable materials can have heterogeneous material properties, and can experience heterogeneous…

Machine Learning · Computer Science 2023-08-31 Quan Nguyen , Emma Lejeune

Metamaterials with floppy modes called mechanisms are a burgeoning template for shape-morphing systems and structures across scales. Here, we present a design recipe that transforms an arbitrary plane tiling into a 2D kirigami pattern with…

Soft Condensed Matter · Physics 2026-05-04 Yingchao Peng , Asifur Rahman , Paolo Celli , Paul Plucinsky

Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using a linearized formalism. Herein, we study a two-dimensional…

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

Metamaterials are structures composed of repeating unit-cells which enable macro-scale properties not found in nature. Since metamaterials are typically solid structures with predetermined interconnections, it is challenging to leverage…

Fluid Dynamics · Physics 2025-12-10 Ezra Ben-Abu , Anna Zigelman , Sefi Givli , Amir D. Gat

The conventional description of time-varying media assumes that electromagnetic fields evolve according to fixed continuity conditions during parameter jumps. Here we reveal that these conditions are not physical constraints but tunable…

Optics · Physics 2026-03-24 Yongge Wang , Jingfeng Yao , Ying Wang , Chengxun Yuan , Zhongxiang Zhou

The adaptive and surprising emergent properties of biological materials self-assembled in far-from-equilibrium environments serve as an inspiration for efforts to design nanomaterials and their properties. In particular, controlling the…

Statistical Mechanics · Physics 2023-07-07 Shriram Chennakesavalu , Sreekanth K. Manikandan , Frank Hu , Grant M. Rotskoff

With exquisite precision and reproducibility, cells orchestrate the cooperative action of thousands of nanometer-sized molecular motors to carry out mechanical tasks at much larger length scales, such as cell motility, division and…

Soft Condensed Matter · Physics 2013-01-08 Tim Sanchez , Daniel T. N. Chen , Stephen J. DeCamp , Michael Heymann , Zvonimir Dogic

Amorphous molecular solids offer a promising alternative to inorganic semiconductors, owing to their mechanical flexibility and solution processability. The packing structure of these materials plays a crucial role in determining their…

Mechanical extremal materials, a class of metamaterials that exist at the bounds of elastic theory, possess the extraordinary capability to engineer any desired elastic behavior by harnessing mechanical zero modes -- deformation modes that…

Applied Physics · Physics 2025-06-12 Daniel Revier , Molly Carton , Jeffrey I. Lipton

Neuromorphic computing approaches become increasingly important as we address future needs for efficiently processing massive amounts of data. The unique attributes of quantum materials can help address these needs by enabling new…

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

Soft Condensed Matter · Physics 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

Many successful deep learning architectures are equivariant to certain transformations in order to conserve parameters and improve generalization: most famously, convolution layers are equivariant to shifts of the input. This approach only…

Machine Learning · Computer Science 2021-03-31 Allan Zhou , Tom Knowles , Chelsea Finn

In the era of foundation models and Large Language Models (LLMs), Euclidean space is the de facto geometric setting of our machine learning architectures. However, recent literature has demonstrated that this choice comes with fundamental…

Computational Geometry · Computer Science 2025-05-21 Menglin Yang , Yifei Zhang , Jialin Chen , Melanie Weber , Rex Ying

Mechanical metamaterials utilize intricate architectural designs to achieve advanced properties beyond those of their bulk counterparts. Existing metamaterial designs often rely on design inspirations and extensive experimental and…

Auxetic materials are a novel class of mechanical metamaterials which exhibit an interesting property of negative Poisson ratio by virtue of their architecture rather than composition. It has been well established that a wide range of…

Applied Physics · Physics 2017-08-02 Krishna Kumar Saxena , Raj Das , Emilio P Calius

Equivariant diffusion models have emerged as the prevailing approach for generating novel crystal materials due to their ability to leverage the physical symmetries of periodic material structures. However, current models do not effectively…

Machine Learning · Computer Science 2025-03-04 Kishalay Das , Subhojyoti Khastagir , Pawan Goyal , Seung-Cheol Lee , Satadeep Bhattacharjee , Niloy Ganguly

Using interplay between surface plasmons and metamaterials, we propose a new technique for novel metamaterial designs. We show that surface plasmons existing on thin metal surfaces can be used to "drive" non-resonant structures in their…

Optics · Physics 2011-04-12 Durdu O. Guney , Thomas Koschny , Costas M. Soukoulis