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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…

软凝聚态物质 · 物理学 2013-05-29 Moumita Das , F. C. MacKintosh

We have recently proposed an efficient computation method for the frictionless linear elastic axisymmetric contact of coated bodies [A. Perriot and E. Barthel, J. Mat. Res. 19 (2004) 600]. Here we give a brief description of the approach.…

材料科学 · 物理学 2009-11-11 Etienne Barthel , Antoine Perriot , Antoine Chateauminois , Christian Frétigny

We consider the link between fragility and elasticity that follows from analysis of the data for a set of soft-colloid materials consisting of deformable spheres reported by Mattsson et. al., in Nature vol 462, 83 (2009). Fragility index…

软凝聚态物质 · 物理学 2021-04-08 Arijit Mondal , Leishangthem Premkumar , Shankar P. Das

In this paper we propose a new lattice structure having macroscopic Poisson's ratio arbitrarily close to the stability limit -1. We tested experimentally the effective Poisson's ratio of the micro-structured medium; the uniaxial test has…

经典物理 · 物理学 2015-06-22 L. Cabras , M. Brun

We present a model to study Young's modulus and Poisson's ratio of the composite material of amorphous nanowires. It is an extension of the model derived by two of us [Da Fonseca and Galvao, Phys. Rev. Lett. 92, 175502 (2004)] to study the…

材料科学 · 物理学 2016-08-16 Alexandre F. da Fonseca , C. P. Malta , D. S. Galvão

The influence of compressibility on the coefficient of restitution in the normal impact of a rigid sphere onto a linear-viscoelastic compressible standard solid under quasi-static conditions is studied using a numerical solution procedure…

软凝聚态物质 · 物理学 2018-06-19 Emanuel Willert , Jean-Emmanuel Leroy , Maciej Satora , Yannic Scholtyssek

We consider 2- and 3-dimensional cubic monocrystalline and polycrystalline materials. Expressions for Young's and shear moduli and Poisson's ratio are expressed in terms of eigenvalues of the stiffness tensor. Such a form is well suited for…

材料科学 · 物理学 2015-05-14 C. Jasiukiewicz , T. Paszkiewicz , S. Wolski

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…

软凝聚态物质 · 物理学 2013-02-13 Michel Destrade , Michael D. Gilchrist , Julie Motherway , Jerry G. Murphy

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…

材料科学 · 物理学 2015-06-04 P. H. Mott , C. M. Roland

Using bases of fourth rank tensorial bases of complete Voigt's symmetry elaborated by Walpole we obtained expressions for inverse of Young's modulus E, inverse of shear modulus G and Poisson's ratio, which depend on components of the…

材料科学 · 物理学 2015-06-25 T. Paszkiewicz , S. Wolski

In composite materials composed of soft polymer matrix and stiff, high-aspect-ratio particles, the composite undergoes a transition in mechanical strength when the inclusion phase surpasses a critical density. This phenomenon (rheological…

软凝聚态物质 · 物理学 2021-03-24 Samuel Heroy , Dane Taylor , Feng Shi , M. Gregory Forest , Peter J. Mucha

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…

数值分析 · 计算机科学 2014-03-11 Sergei Nikolaev

In metallic glasses a clear correlation had been established between plasticity or ductility with the Poisson ratio and alternatively the ratio of the elastic bulk modulus to the shear modulus, K/G. Such a correlation between these two…

材料科学 · 物理学 2015-06-17 K. L. Ngai , Li-Min Wang , Riping Liu , W. H. Wang

Despite their outstanding mechanical properties, with many industrial applications, a rational and systematic design of new and controlled auxetic materials remains poorly developed. Here a unified framework is established to describe…

软凝聚态物质 · 物理学 2021-06-28 Daniel Acuna , Francisco Gutiérrez , Rodrigo Silva , Humberto Palza , Alvaro S. Nunez , Gustavo Düring

The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of physical growth and non-self-interpenetration. While the…

偏微分方程分析 · 数学 2023-03-29 Wolf-Patrick Düll , Dominik Engl , Carolin Kreisbeck

A simple algorithm is proposed for studies of structural and elastic properties in the presence of structural disorder at zero temperature. The algorithm is used to determine the properties of the polydisperse soft disc system. It is shown…

计算物理 · 物理学 2015-04-30 Jakub Narojczyk , Krzysztof W. Wojciechowski

Theoretical calculations of the elastic response of carbon composites and amorphous carbon are reported. The studied composites consist of crystalline nanoinclusions, either spherical diamonds or carbon nanotubes, embedded in amorphous…

材料科学 · 物理学 2011-11-09 Maria Fyta , P. C. Kelires

Mechanically active cells in soft media act as force dipoles. The resulting elastic interactions are long-ranged and favor the formation of strings. We show analytically that due to screening, the effective interaction between strings…

软凝聚态物质 · 物理学 2007-05-23 Ilka B. Bischofs , Ulrich S. Schwarz

We calculate the coefficient of restitution, $\epsilon$, starting from a microscopic model of elastic disks. The theory is shown to agree with the approach of Hertz in the quasistatic limit, but predicts inelastic collisions for finite…

凝聚态物理 · 物理学 2009-10-31 Franz Gerl , Annette Zippelius

An incremental (or tangent) bulk modulus for finite isotropic elasticity is defined which compares an increment in hydrostatic pressure with the corresponding increment in relative volume. Its positivity provides a stringent criterion for…

经典物理 · 物理学 2020-05-12 N. H. Scott
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