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Finite Element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that in shearing deformations the corresponding normal stress distribution can…

Soft Condensed Matter · Physics 2013-02-13 Michel Destrade , Michael D. Gilchrist , Julie Motherway , Jerry G. Murphy

The ability to control Poisson's ratio of functional materials has been one of the main objectives of researchers attempting to develop structures efficient from the perspective of protective, biomedical and soundproofing devices. This task…

We report detailed theoretical investigations of the micro-mechanics and bulk elastic properties of composites consisting of randomly distributed stiff fibers embedded in an elastic matrix in two and three dimensions. Recent experiments…

Soft Condensed Matter · Physics 2013-05-29 Moumita Das , F. C. MacKintosh

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

The Poisson's ratio of a material characterizes its response to uniaxial strain. Materials normally possess a positive Poisson's ratio - they contract laterally when stretched, and expand laterally when compressed. A negative Poisson's…

Materials Science · Physics 2016-10-18 Yuchen Du , Jesse Maassen , Wangran Wu , Zhe Luo , Xianfan Xu , Peide D. Ye

The ability to change significantly mechanical and wave propagation properties of a structure without rebuilding it has been one of the main challenges in the field of mechanical metamaterials. This stems from the enormous appeal that,…

Materials Science · Physics 2023-06-30 K. K. Dudek , J. A. Iglesias Martínez , G. Ulliac , L. Hirsinger , L. Wang , V. Laude , M. Kadic

Stretching an elastic material along one axis typically induces contraction along the transverse axes, a phenomenon known as the Poisson effect. From these strains, one can compute the specific volume, which generally either increases or,…

Soft Condensed Matter · Physics 2024-07-31 Jordan L. Shivers , Fred C. MacKintosh

The high-pressure compaction of three dimensional granular packings is simulated using a bonded particle model (BPM) to capture linear elastic deformation. In the model, grains are represented by a collection of point particles connected by…

Soft Condensed Matter · Physics 2023-10-19 Joel T. Clemmer , Joseph M. Monti , Jeremy B. Lechman

Materials with negative Poisson's ratio, also known as auxetic materials, display exotic properties such as expansion in all directions under uni-axial tension. For their unique properties, these materials find a broad range of applications…

Soft Condensed Matter · Physics 2025-06-05 Sairam Pamulaparthi Venkata , Valentina Balbi , Michel Destradea , Dino Accoto , Giuseppe Zurlo

We design two-dimensional (2D) mechanical metamaterials that may be deformed substantially at little or no energy cost. Examples of such deformable structures are assemblies of rigid isosceles triangles hinged in their corners on the…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Zhibin Gao , Dan Liu , David Tomanek

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…

Materials Science · Physics 2016-11-11 Sascha Heitkam , Wiebke Drenckhan , Denis Weaire , Jochen Froehlich

Implant placement under soft tissues operation is described. In this operation tissues can reach such deformations that nonlinear properties are appeared. A mass-spring model modification for modeling nonlinear tissue operation is…

Numerical Analysis · Computer Science 2014-03-11 Sergei Nikolaev

Superhydrophobic materials are often inspired by nature, whereas metamaterials are engineered to have properties not usually found in naturally occurring materials. In both cases, the key that unlocks their unique properties is structure.…

Poisson ratio is an important mechanical property that reveals the deformation patterns of materials. A positive Poisson ratio is a feature of the majority of materials. Some materials, however, display auxetic behaviors (i.e. possess…

Classical Physics · Physics 2018-02-08 S. Faroughi , M. Shaat

We study the elastic response of composites of rods embedded in elastic media. We calculate the micro-mechanical response functions, and bulk elastic constants as functions of rod density. We find two fixed points for Poisson's ratio with…

Materials Science · Physics 2013-05-29 Moumita Das , F. C. MacKintosh

A bonded particle model is used to explore how variations in the material properties of brittle, isotropic solids affect critical behavior in fragmentation. To control material properties, a new model is proposed which includes breakable…

Soft Condensed Matter · Physics 2023-09-14 Joel T. Clemmer , Mark O. Robbins

Soft electronics have recently gathered considerable interest thanks to their bio-mechanical compatibility. An important feature of such deformable conductors is their electrical response to strain. While development of stretchable…

Soft Condensed Matter · Physics 2025-11-14 Louis Martin-Monier , Pierre-Luc Piveteau , Fabien Sorin

Accuracy in the measurement of mechanical properties is essential for precision engineering and for the interrogation of composition-property relationships. Conventional methods of mechanical testing, such as uniaxial tension, compression,…

Soft Condensed Matter · Physics 2024-09-18 Hannah Varner , Tal Cohen

The lower bound usually cited for Poisson's ratio {\nu} is -1, derived from the relationship between {\nu} and the bulk and shear moduli. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound…

Materials Science · Physics 2015-06-04 P. H. Mott , C. M. Roland

In a previous paper \cite{Itskov-MoSM} we presented a hyperelastic isotropic material model whose stress-strain response is nonlinear even at infinitesimal deformations and cannot thus be linearized. As a result values of Poisson's ratio…

Analysis of PDEs · Mathematics 2026-04-30 Mikhail Itskov
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