Poisson’s ratio of binary and polydisperse soft disk crystals

Tretiakov, Konstantin V.; Wojciechowski, Krzysztof W.

doi:10.1016/j.jnoncrysol.2008.06.080

Cited by 3 publications

(3 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown that the geometry and specifically the anisotropy of a molecule can be of critical importance to the elasticity of the system [37,26,36]. Various kinds of disorder such as point and structural defects [38,39], voids [40], size polidyspersity of particles [41][42][43][44], and orientational disorder [37] also change the elastic properties of the system.…”

Section: Introductionmentioning

confidence: 99%

Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

Tretiakov¹

2009

Journal of Non-Crystalline Solids

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

Tretiakov¹

2009

Journal of Non-Crystalline Solids

Self Cite

View full text Add to dashboard Cite

“…A set of materials with high Poisson's ratio was simulated in Refs. [78][79][80][81] in 2D and in Ref. [82] in 3D.…”

Section: Discussionmentioning

confidence: 99%

Behavior of Extreme Auxetic and Incompressible Elastic Materials

Dyskin

Pasternak

2017

Physica Status Solidi (b)

View full text Add to dashboard Cite

We investigate auxetic isotropic elastic materials with the Poisson's ratio of exactly −1 and isotropic materials with the Poisson's ratio of near 0.5 (incompressible). In both cases the energy is not positive definite, which can lead to the material instability. In incompressible materials, the instability manifests itself in the emergence of non‐uniform displacement distribution. Investigation of the behavior of such materials with respect to damage or crack accumulation is based on the notion that during the instantaneous process of fracture formation, the fracture acts as a negative stiffness element; after the fracture is formed, it immediately turns into a conventional fracture with usual positive stiffness. We demonstrate that the cracks formed due to tensile or combined tensile and shear fracturing of the material are capable of momentarily bringing the Poisson's ratio of nearly incompressible material to 0.5, which instantaneously turns the material into unstable. On the other hand, the formation of shear cracks leads to reduction in the Poisson's ratio bringing the material away from the point of instability. Opposite to this, cracks of all kinds do not change the Poisson's ratio in extreme auxetics (the Poisson's ratio equal to −1). Thus the auxetic materials remain stable with respect to fracture formation.

show abstract

“…In the latter ones, the mechanical terminal polydispersity above which the fcc crystal is mechanically unstable has been estimated (). The influence of the polydispersity and the softness of interaction potential on the Poisson's ratio has been also studied in polydisperse soft 2D disk () and 3D sphere () crystals at zero temperature and in 2D polydisperse soft disk crystals at positive temperatures (). However, the elastic properties of polydisperse 3D soft spheres have not yet been investigated at positive temperatures.…”

Section: Introductionmentioning

confidence: 99%

Elastic properties of fcc crystals of polydisperse soft spheres

Tretiakov

Wojciechowski

2013

Physica Status Solidi (b)

Self Cite

View full text Add to dashboard Cite

Elastic properties of fcc phases of soft polydisperse spheres, interacting through inverse‐power pair potentials ufalse(rfalse)∼r−n, where r is the distance between sphere centers, have been studied by Monte Carlo (MC) simulations in the NpT ensemble with variable shape of the box. The simulations show that both the size polydispersity δ and temperature T strongly influence the elastic properties of the studied system, including Poisson's ratio. Poisson's ratio is found to be negative and decreases with increase of temperature and size polydispersity in the false[110false]false[1true1‾0false] direction. Hence, the system is partially auxetic. Additionally, the obtained results indicate that wide range of Poisson's ratio values (from νfalse[110false]false[1true1‾0false]≈−0.3 to νfalse[110false]false[001false]≈1.1) can be obtained by changing the polydispersity, the potential softness 1/n and direction. Poisson's ratio in false[110false]false[1true1‾0false] and false[110false]false[001false] directions for polydisperse soft spheres with δ=5% and dimensionless pressure p*=37.69 versus dimensionless temperature.

show abstract

Poisson’s ratio of binary and polydisperse soft disk crystals

Cited by 3 publications

References 24 publications

Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

Behavior of Extreme Auxetic and Incompressible Elastic Materials

Elastic properties of fcc crystals of polydisperse soft spheres

Contact Info

Product

Resources

About