Elastic properties of two-dimensional soft discs of various diameters at zero temperature
Source abstract
Abstract
Elastic properties of two classes of two-dimensional models, consisting of soft particles of various sizes have been determined numerically and compared: (1) polydisperse discs (with Gaussian probability distribution of diameters) and (2) binary discs (with probability density distribution of diameters composed of two Dirac delta functions of equal amplitudes). Simple analytical formulae approximating the numerical results are found. It is shown that the elastic properties of both systems are very close to each other if the first two moments (i.e. the mean value and the standard deviation) of the probability density distribution in the systems are equal.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Elasticity and Wave Propagation · Material Dynamics and Properties · Advanced Theoretical and Applied Studies in Material Sciences and Geometry
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (13)
Show source-provided references
1. R. Lakes, web page, Available from: .
2. Milton · J. Mech. Phys. Solids · 1992 · 40 · 110510.1016/0022-5096(92)90063-8 ↗
3. Evans · Nature · 1991 · 353 · 12410.1038/353124a0 ↗
4. Landau · 1986
5. Wojciechowski · Phys. Stat. Solidi B · 2005 · 242 · 49710.1002/pssb.200590008 ↗
6. J.W. Narojczyk, K.W. Wojciechowski, Computer simulation of the Poisson’s ratio of soft polydisperse discs at zero temperature, Materials Science (Poland) 24, in print.
7. Wojciechowski · Phys. Rev. E · 2003 · 67 · 036121 110.1103/PhysRevE.67.036121 ↗
8. K.W. Wojciechowski, Simple models with extreme values of the Poisson’s ratio, Computational Methods in Science and Technology 12(2), in print.
9. Wojciechowski · Rev. Adv. Mater. Sci. · 2006 · 12 · 120
10. Wojciechowski · Phys. Lett. A · 1989 · 137 · 6010.1016/0375-9601(89)90971-7 ↗
11. Parrinello · J. Appl. Phys. · 1981 · 52 · 718210.1063/1.328693 ↗
12. J.W. Narojczyk, K.W. Wojciechowski, Computer simulations of the elastic properties of two-dimensional soft polydisperse trimers at zero temperature, submitted for publication.
13. K.V. Tretiakov, K.W. Wojciechowski, Elastic properties of the polydisperse hard discs in two dimensions, submitted for publication.