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A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topology optimization together with a mixed stress/deformation…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Guodong Zhang , Kapil Khandelwal

Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituents through the strategic spatial arrangement of the…

Materials Science · Physics 2017-10-10 Duyu Chen , Salvatore Torquato

Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally…

Mathematical Physics · Physics 2009-11-13 Graeme W. Milton

The operation principles of nanoscale devices are based upon both electronic and mechanical properties of materials. Because these properties can be coupled, they need to be investigated simultaneously. At this moment, however, the…

Materials Science · Physics 2010-11-24 Pekka Koskinen , Oleg O. Kit

We perform a systematic {\it ab initio} study of the work function and its uniform strain dependence for graphene and silicene for both tensile and compressive strains. The Poisson ratios associated with armchair and zigzag strains are also…

Strongly Correlated Electrons · Physics 2020-06-05 D. Grassano , M. D'Alessandro , O. Pulci , S. G. Sharapov , V. P. Gusynin , A. A. Varlamov

The combination of two-dimensional (2D) materials into vertical heterostructures has emerged as a promising path to designer quantum materials with exotic properties. Here, we extend this concept from inorganic 2D materials to 2D…

We prove an analogue of Thurston's h-principle for $2$-dimensional foliations on manifolds of dimension bigger or equal to $4$, in the presence of a fiber-wise non-degenerate $2$-form. This helps us understand the flexibility of rank $2$…

Differential Geometry · Mathematics 2016-11-30 Sauvik Mukherjee

The material characterization of ultra-thin solid sheets, including two-dimensional materials like graphene, is often performed through indentation tests on a flake suspended over a hole in a substrate. While this `suspended indentation' is…

Materials Science · Physics 2020-09-03 Thomas G. J. Chandler , Dominic Vella

Two-dimensional (2D) crystals made of active particles were shown recently to be able to experience extremely large spontaneous deformations without melting. The root of this phenomenon was argued to lie in the time-persistence of the…

Soft Condensed Matter · Physics 2024-01-23 Xia-qing Shi , Hugues Chaté

A quantitative model describing large magnetostrain effect observed in several ferromagnetic shape memory alloys such as Ni2MnGa is briefly reported.The paper contains an exact thermodynamic consideration of the mechanical and magnetic…

Materials Science · Physics 2009-10-31 A. A. Likhachev , K. Ullakko

Atomically thin layers of two-dimensional (2D) materials such as graphene, MoS2 and h-BN have immense potential as sensors and electronic devices thanks to their highly desirable electronic, mechanical, optical and heat transport…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Nicholas D. Kay , Peter D. Tovee , Benjamin J. Robinson , Konstantin S. Novoselov , Oleg V. Kolosov

We present an analytical framework to describe the complex nonlinear response of two-dimensional porous mechanical metamaterials. We adopt a geometric approach to elasticity in which pores are represented by elastic charges, and show that…

Soft Condensed Matter · Physics 2017-09-04 Gabriele Librandi , Michael Moshe , Yoav Lahini , Katia Bertoldi

Metamaterials are structures engineered at a small scale with respect to the wavelength of the excitations they interact with. These structures behave as artificial materials whose properties can be chosen by design, mocking and even…

Applied Physics · Physics 2023-06-26 G. Conte , L. Vicarelli , S. Zanotto , A. Pitanti

Shape-morphing metamaterials enable adaptive structures capable of complex functional deformations, with applications ranging from reconfigurable structures and soft robotics to medical devices. However, their design remains challenging due…

Computational Engineering, Finance, and Science · Computer Science 2026-05-11 Jipeng Cui , Wei "Wayne" Chen

Unlike covalent two-dimensional (2D) materials like graphene, 2D metals have non-layered structures due to their non-directional, metallic bonding. While experiments on 2D metals are still scarce and challenging, density-functional theory…

Materials Science · Physics 2023-01-06 Kameyab Raza Abidi , Pekka Koskinen

The mechanical environment of a substrate plays a key role in influencing the behavior of adherent biological cells. Traditional tunable substrates have limitations as their mechanical properties cannot be dynamically altered in-situ during…

Soft Condensed Matter · Physics 2025-11-12 Manu Sebastian , Sreenath Balakrishnan , Safvan Palathingal

The electronic properties of two-dimensional materials and their heterostructures can be dramatically altered by varying the relative angle between the layers. This makes it theoretically possible to realize a new class of twistable…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Rebeca Ribeiro-Palau , Changjian Zhang , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory R. Dean

Theory predicts that two-dimensional (2D) materials may only exist in the presence of out-ofplane deformations on atomic length scales, frequently referred to as ripples. While such ripples can be detected via electron microscopy, their…

Applied Physics · Physics 2020-09-15 Omur E. Dagdeviren , Ogulcan Acikgoz , Peter Grutter , Mehmet Z. Baykara

Searching for novel two-dimensional (2D) materials is crucial for the development of the next generation technologies such as electronics, optoelectronics, electrochemistry and biomedicine. In this work, we designed a series of 2D materials…

Materials Science · Physics 2021-06-29 Jie Li , Ruqian Wu

We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or auxetic behavior. We derive the conditions under which the…

Materials Science · Physics 2009-11-13 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato
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