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We compute the absolute Poisson's ratio $\nu$ and the bending rigidity exponent $\eta$ of a free-standing two-dimensional crystalline membrane embedded into a space of large dimensionality $d = 2 + d_c$, $d_c \gg 1$. We demonstrate that, in…

介观与纳米尺度物理 · 物理学 2020-04-02 D. R. Saykin , I. V. Gornyi , V. Yu. Kachorovskii , I. S. Burmistrov

Microstructured honeycomb materials may exhibit exotic, extreme and tailorable mechanical properties, suited for innovative technological applications in a variety of modern engineering fields. The paper is focused on analysing the…

Fourth-rank tensors of complete Voigt's symmetry, that embody the elastic properties of crystalline anisotropic substances, were constructed for all 2D crystal systems. Using them we obtained explicit expressions for inverse of Young's…

材料科学 · 物理学 2007-05-23 Cz. Jasiukiewicz , T. Paszkiewicz , S. Wolski

Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up…

材料科学 · 物理学 2024-09-20 Matheus I. N. Rosa , Konstantinos Karapiperis , Kaoutar Radi , Dennis M. Kochmann

Using molecular dynamics simulations, we find an in-plane negative Poisson's ratio intrinsically existing in the graphene-based three-dimensional (3D) carbon foams (CFs) when they are compressed uniaxially. Our study shows that the negative…

介观与纳米尺度物理 · 物理学 2018-03-14 Jin Zhang , Qilin Xiong

Recent advances in nanoscale fabrication enable atomic-scale manipulation of two-dimensional (2D) materials by introducing engineered pores and perforations. This provides new opportunities to tailor functional properties of 2D materials…

材料科学 · 物理学 2026-03-23 Hossein Darban

Elastic properties of soft, three-dimensional dimers, interacting through site-site n-inverse-power potential, are determined by computer simulations at zero temperature. The degenerate crystal of dimers exhibiting (Gaussian) size…

计算物理 · 物理学 2015-04-14 J. W. Narojczyk , K. W. Wojciechowski

A long-standing question is why Poisson's ratio v nearly always exceeds 0.2 for isotropic materials, whereas classical elasticity predicts v to be between -1 to 1/2. We show that the roots of quadratic relations from classical elasticity…

材料科学 · 物理学 2015-05-14 PH Mott , CM Roland

The mechanical stretchability is the magnitude of strain which a material can suffer before it breaks. Materials with high mechanical stretchability, which can reversibly withstand extreme mechanical deformation and cover arbitrary surfaces…

材料科学 · 物理学 2015-01-20 Ming Yang , Wu-Ming Liu

The elastic properties of a material with spherical voids of equal volume are analysed using a new model, with particular attention paid to the hexagonal close-packed and the face-centred cubic arrangement of voids. Void fractions well…

材料科学 · 物理学 2016-11-11 Sascha Heitkam , Wiebke Drenckhan , Denis Weaire , Jochen Froehlich

In the development of active animate materials, electromechanical coupling is highly attractive to realize mechanoresponsive functionality. Piezoelectricity is the most utilized electromechanical phenomenon due to the wide availability of…

Auxetic metamaterials are commonly thought to exhibit favorable mechanical properties, notably high energy absorption. Here we investigate disordered metamaterials obtained from random beam networks by optimizing simultaneously auxeticity…

Disordered hyperuniform materials are an emerging class of exotic amorphous states of matter that endow them with singular physical properties. Here, we generalize the Fourier-space based numerical construction procedure for designing {\it…

材料科学 · 物理学 2023-07-27 Wenlong Shi , David Keeney , Duyu Chen , Yang Jiao , Salvatore Torquato

Cork is a natural amorphous material with near-zero Poisson's ratio that is ubiquitously used for sealing glass bottles. It is an anisotropic, transversally isotropic, composite that can hardly be scaled down. Here, we propose a new class…

The manner in which metallic glasses fail under external loading is known to correlate well with those glasses' Poisson's ratio $\nu$: low-$\nu$ (compressible) glasses typically feature brittle failure patterns with scarce plastic…

软凝聚态物质 · 物理学 2024-06-05 Edan Lerner

We present a three-periodic, chiral, tensegrity structure and demonstrate that it is auxetic. Our tensegrity structure is constructed using the chiral symmetry {\Pi}+ cylinder packing, transforming the cylinders themselves to the elastic…

材料科学 · 物理学 2021-05-12 Mathias Oster , Marcelo A. Dias , Timo de Wolff , Myfanwy E. Evans

Fiber-reinforced soft biological tissues are typically modeled as hyperelastic, anisotropic, and nearly incompressible materials. To enforce incompressibility a multiplicative split of the deformation gradient into a volumetric and an…

A recent derivation [P.H. Mott and C.M. Roland, Phys. Rev. B 80, 132104 (2009).] of the bounds on Poisson's ratio, v, for linearly elastic materials showed that the conventional lower limit, -1, is wrong, and that v cannot be less than 0.2…

软凝聚态物质 · 物理学 2012-08-30 J. H. Roh , C. B. Giller , P. H. Mott , C. M. Roland

Incompressible nonlinearly hyperelastic materials are rarely simulated in Finite Element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying this constraint. Most…

软凝聚态物质 · 物理学 2020-09-07 Aisling Ni Annaidh , Michel Destrade , Michael D. Gilchrist , Jerry G. Murphy

In materials science, auxetic behavior refers to lateral widening upon stretching. We investigate the problem of finding domains of auxeticity in global deformation spaces of periodic frameworks. Case studies include planar periodic…

度量几何 · 数学 2018-05-29 Ciprian S. Borcea , Ileana Streinu