Partially auxetic behavior in fcc crystals of hard-core repulsive Yukawa particles

Abstract

Elastic properties of the face centered cubic (fcc) phase of particles, interacting through hard‐core repulsive Yukawa potential are determined by Monte Carlo (MC) simulations in the NpT ensemble with variable shape of the periodic box. The effects of the Debye screening length (κ−1) and contact value of the potential (ε) on elastic properties of the system are studied. It is found that the hard‐core repulsive Yukawa system is partially auxetic. The Poisson's ratio of the system in the false[110false]false[1true1‾0false] direction is negative and decreases with increasing the Debye screening length. Poisson's ratio of the hard‐core repulsive Yukawa system measured in the false[110false]false[1true1‾0false] directions at βε=39 versus density.

Discrete breathers in 2D and 3D crystals

“…As a future challenge, it is important to search for DB in auxetics, among which are crystals and other discrete nonlinear systems .…”

“…A generalization of the polaron to solectron, which is the bound state of the crowdion or DB and electron has been proposed [55] to discuss the peculiarities of electron transport in crystals [56][57][58][59]. As a future challenge, it is important to search for DB in auxetics, among which are crystals and other discrete nonlinear systems [60][61][62][63][64][65].…”

Mechanics of Advanced Materials

“…This is important to modern engineering, which often requires materials with desired and non-conventional properties. Moreover, when the concept of multi-phase system is further extended, the research can be applied to other types of materials [6,14,[137][138][139][140].…”

Auxetic and Negative Thermal Expansion Structure Based on Interconnected Array of Rings and Sliding Rods

“…[21] Auxetic behavior has also been obtained by making use of instability, particularly taking advantage of void collapse, by Bertoldi et al [22][23][24] Recent works on structural modification at the molecular level by Tretiakov et al [25] and Piglowski et al [26] also show the mechanisms which lead to control of auxeticity by using a proper structure. Other molecular mechanisms leading to auxeticity are attributed to Wojciechowski, [27] Tretiakov, [28] as well as Tretiakov and Wojciechowski, [29] while special conditions applied to specific systems due to which auxetic behavior can be observed have been reported by Wojciechowski [30] and Rechtsman et al [31] For a comprehensive review, the reader is referred to a recent monograph on auxetic materials and structures. [32] A novel auxetic and negative thermal expansion (NTE) structure based on rings with sliding rods is introduced herein.…”