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While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D-printed structures, are anisotropic, as are most industrial…

Soft Condensed Matter · Physics 2021-05-25 H. G. Wood , J. A. Hanna

Aggregating base elements into rigid objects such as furniture or sculptures is a great way for designers to convey a specific look and feel. Unfortunately, there is no existing solution to help model structurally sound aggregates. The…

Graphics · Computer Science 2018-11-08 Jérémie Dumas , Jonàs Martínez , Sylvain Lefebvre , Li-Yi Wei

Despite much interest and progress in optical spatial cloaking, a three-dimensional (3D), transmitting, continuously multidirectional cloak in the visible regime has not yet been demonstrated. Here we experimentally demonstrate such a cloak…

Optics · Physics 2015-03-10 Joseph S. Choi , John C. Howell

We present a proof of concept design for a structured square cloak enclosing a void in an elastic lattice, subjected to flexural vibrations. In addition to the theoretical design, we fabricate and experimentally test an elastic invisibility…

Materials Science · Physics 2016-12-28 D. Misseroni , D. J. Colquitt , A. B. Movchan , N. V. Movchan , I. S. Jones

Anisotropies of Young's modulus E, the shear modulus G, and Poisson's ratio of all 2D symmetry systems are studied. Simple necessary and sufficient conditions on their elastic compliances are derived to identify if any of these crystals are…

Materials Science · Physics 2007-05-23 Cz. Jasiukiewicz , T. Paszkiewicz , S. Wolski

We present the design, architecture and detailed performance of a three-dimensional (3D) underwater acoustic carpet cloak (UACC). The proposed system of the 3D UACC is an octahedral pyramid which is composed of periodical steel strips. This…

Applied Physics · Physics 2018-07-04 Yafeng Bi , Han Jia , Zhaoyong Sun , Yuzhen Yang , Han Zhao , Jun Yang

This paper is concerned with the invisibility cloaking in acoustic wave scattering from a new perspective. We are especially interested in achieving the invisibility cloaking by completely regular and isotropic mediums. It is shown that an…

Analysis of PDEs · Mathematics 2016-04-20 Xia Ji , Hongyu Liu

While the design of always new metamaterials with exotic static and dynamic properties is attracting deep attention in the last decades, little effort is made to explore their interactions with other materials. This prevents the conception…

Applied Physics · Physics 2020-07-30 Gianluca Rizzi , Manuel Collet , Félix Demore , Bernhard Eidel , Patrizio Neff , Angela Madeo

Beginning with a straightforward formulation of electromagnetic cloaking that reduces to a boundary value problem involving a single Maxwell first-order differential equation, explicit formulae for the relative permittivity-permeability…

Classical Physics · Physics 2009-01-28 Arthur D. Yaghjian , Stefano Maci

We show that, for any given dimension $d\geq 2$, the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric approach to auxetic trajectories developed within our…

Metric Geometry · Mathematics 2016-08-09 Ciprian S. Borcea , Ileana Streinu

A rectangular "shifting cloak", which visually shifts the cloaked object for a certain distance from the original place, is proposed. Comparing with the previously proposed similar cloaks, this rectangular shifting cloak has a much simpler…

Optics · Physics 2010-05-31 Jianguo Guan , Wei Li , Zhigang Sun , Wei Wang

The concept of cloaking -- hiding objects from external detection -- has seen wide success in linear systems. Yet, translating these advancements to nonlinear mechanical systems remains an open challenge. Here, we present a new approach to…

We analyse basic thermal cloaks designed via different geometric transforms applied to thermal cloaking. We evaluate quantitatively the efficiency of these heterogeneous anisotropic thermal cloaks through the calculation of the standard…

Materials Science · Physics 2014-09-11 David Petiteau , Sébastien Guenneau , Michel Bellieud , Myriam Zerrad , Claude Amra

Many materials of contemporary interest, such as gels, biological tissues and elastomers, are easily deformed but essentially incompressible. Traditional linear theory of elasticity implements incompressibility only to first order and thus…

Soft Condensed Matter · Physics 2015-06-22 J. S. Biggins , Z. Wei , L. Mahadevan

Advancements in modern semiconductor devices increasingly depend on the utilization of amorphous materials and the reduction of material thickness, pushing the boundaries of their physical capabilities. The mechanical properties of these…

Applied Physics · Physics 2024-05-31 C. Pashartis , M. J. van Setten , M. Houssa , G. Pourtois

We investigate two-dimensional invisibility cloaking via transformation optics approach. The cloaking media possess much more singular parameters than those having been considered for three-dimensional cloaking in literature. Finite energy…

Analysis of PDEs · Mathematics 2010-06-08 Hongyu Liu , Ting Zhou

In a recent Letter, Cummer et al. give a description of material parameters for acoustic wave propagation giving rise to a 3D spherical cloak, and verify the cloaking phenomenon on the level of scattering coefficients. A similar…

Optics · Physics 2008-01-23 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

In two-dimensional materials, structure difference induces the difference in phonon dispersions, leading to the anisotropy of in-plane thermal transport. Here, we report an exceptional case in layered PdSe2, where the bonding, force…

Materials Science · Physics 2021-12-30 Bin Wei , Junyan Liu , Qingan Cai , Ahmet Alatas , Ayman H. said , Chen Li , Jiawang Hong

Structured metamaterials are at the core of extensive research, promising for acoustic and thermal engineering. Nevertheless, the computational cost required for correctly simulating large systems imposes to use a continuous model to…

Soft Condensed Matter · Physics 2022-03-14 Haoming Luo , Valentina M. Giordano , Anthony Gravouil , Anne Tanguy

Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies. At variance,…

Applied Physics · Physics 2017-11-22 Cesare Davini , Antonino Favata , Andrea Micheletti , Roberto Paroni
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