Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]‐Nanochannels Filled by Hard Spheres of Another Diameter

Narojczyk, Jakub W.; Wojciechowski, Krzysztof W.; Tretiakov, Konstantin V.; Smardzewski, Jerzy; Scarpa, Fabrizio; Pigłowski, Paweł M.; Kowalik, M.; Imre, Attila R.; Bilski, Mikołaj

doi:10.1002/pssb.201800611

Cited by 37 publications

(54 citation statements)

References 63 publications

(72 reference statements)

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“…However, one should be aware, this is not a general rule. When considering inclusions in the form of periodic array of [001]-nanochannels in HS systems, a substantially higher increase of partial auxeticity in comparison to analogous Yukawa system was observed [97]. Thus, an important conclusion can be made that geometrical effects are neither the only nor the dominating ones influencing Poisson’s ratio of the studied models.…”

Section: Discussionmentioning

confidence: 99%

Poisson’s Ratio of the f.c.c. Hard Sphere Crystals with Periodically Stacked (001)-Nanolayers of Hard Spheres of Another Diameter

Narojczyk

Wojciechowski

2019

Materials

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The results of studies on the influence of periodically stacked nanolayer inclusions, introduced into the face-centered cubic (f.c.c.) hard sphere crystal, on Poisson’s ratio of the obtained nanocomposite system are presented. The monolayers are orthogonal to the [ 001 ] -direction. They are formed by hard spheres with diameter different from the spheres forming the matrix of the system. The Monte Carlo computer simulations show that in such a case the symmetry of the system changes from the cubic to tetragonal one. When the diameter of the inclusion spheres increases at certain range, a decrease of the negative Poisson’s ratio in the [ 101 ] [ 1 ¯ 01 ] -directions is observed, i.e., the system enhances its partial auxeticity. The dependence of the maximal, average, and negative parts of the minimal Poisson’s ratio on the direction of the applied load are shown in a form of surfaces in spherical coordinates, plotted for selected values of nanolayer particle diameters. The most negative value of the Poisson’s ratio found among all studied systems was − 0.11 (at pressure p * = 100 , which is about ten times higher than the melting pressure) what is almost twice more negative than in the f.c.c. crystal of identical hard spheres. The observed effect weakens along with the decrease of pressure and becomes hardly noticeable near melting. This study indicates that modifying only the size of the inclusion particles one can change Poisson’s ratio of nanocomposites at high pressures.

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Section: Discussionmentioning

confidence: 99%

Poisson’s Ratio of the f.c.c. Hard Sphere Crystals with Periodically Stacked (001)-Nanolayers of Hard Spheres of Another Diameter

Narojczyk

Wojciechowski

2019

Materials

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“…Over these past 30 years, the studies on auxetics diverge into different aspects. Among others, the search for auxetic properties in new materials, the theoretical studies of various models exhibiting auxetic properties, or the creation of auxetic composites to enhance mechanical properties of materials. The latter is of particular importance if one considers practical applications of negative Poisson's ratio materials .…”

Section: Introductionmentioning

confidence: 99%

Stiffness of Synclastic Wood‐Based Auxetic Sandwich Panels

Peliński

Smardzewski

Narojczyk

2020

Physica Status Solidi (b)

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The research in materials with auxetic properties [1] (i.e., exhibiting negative Poisson's ratio [2] at least in some directions) has been growing for about 30 years. The manufacturing of the first man-made auxetic foam by Lakes [3] as well as the formulation and solution of the first mechanical [4,5] and thermodynamic models [6,7] explaining their unusual mechanical properties sparked an ongoing interest and intense studies of these interesting novel materials. Over these past 30 years, the studies on auxetics diverge into different aspects. Among others, the search for auxetic properties in new materials, [8,9] the theoretical studies of various models exhibiting auxetic properties, [10-46] or the creation of auxetic composites [47,48] to enhance mechanical properties of materials. The latter is of particular importance if one considers practical applications of negative Poisson's ratio materials. [49-55] In this respect, auxetic structures [24,54,56-66] are interesting (among others) in terms of improving stiffness and durability of materials. They tend to form synclastic, sphere-like shapes instead of anticlastic curvature which is characteristic for common materials with positive Poisson's ratio, subjected to bending. [67-69] Nowadays in wood industry, furniture which were designed with the use of synclastic shapes, are typically made from bent steel frame (usually upholstered), plastics, or bent plywood. Technology of bent plywood is strictly connected with thermophysical treatment, mold casting, and temperature-pressure bending process. The process is both time-and resourceconsuming. Furthermore, with the development of each new shape, expensive procedure of a new mold preparation and implementation into technological process is required. This situation could be significantly improved by implementation of auxetic structures into the industry. Auxetic structures improve several of mechanical properties, especially shear, impact, and bending resistance. They also improve ability to absorb impact energy as well as improve overall stiffness of structure. [65,66] Despite promising results of mechanical characteristics in the work by Smardzewski, [70] concerning examination of multilayered sandwich panels, particularly honeycomb panels with auxetic core manufactured from wood-based materials, to the date, the literature lacks research on the use of auxetic structures in wood-based composites. International research is focused on innovative, light composites, that could reduce the cost of product manufacturing by reducing material usage and overall product weight. Thus, in effect reducing also costs related to logistics. [70,71] Such composites could replace typically used wood-based materials such as particleboard, low, medium, and high-density fiberboard (LDF, MDF, and HDF) or plywood. Many studies [67,72-78] deal with honeycomb sandwich panels and their usage in wood industry for the purpose of door filling, vertical, and horizontal elements of furniture body, package filling, etc. Sandwich panels should have ...

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“…In last 30 years, various types of 3D macroscopic auxetic structures [38][39][40] and molecular auxetic structures have emerged. [41,42] Other types of metamaterials with negative and counterintuitive properties, such as negative thermal expansion, [43] negative linear compressibility, [44] negative specific heat, and negative pressure, also sparked a large volume of researchers' interest. [45] In addition, there has been extensive effort to induce auxetic response via clever tailoring of processing conditions using conventional materials.…”

Section: Introductionmentioning

confidence: 99%

A Simple Methodology to Generate Metamaterials and Structures with Negative Poisson's Ratio

Zhang

Ren

2020

Physica Status Solidi (b)

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Buckling is one type of unstable structural response which has been known for centuries. Although buckling is generally regarded as a type of undesirable phenomenon, many investigations reported that it can be utilized to generate buckling-induced metamaterials and structures with negative Poisson's ratio. Recent studies demonstrate that buckling-induced auxetic behavior will disappear when the base material is changed from elastomer to metal. A pattern scale factor (PSF) method to recover auxeticity of metallic metamaterials and structures was mentioned in previous studies, but the method has not been specifically introduced. Herein, a more detailed introduction of the PSF method is made and some successful case studies are presented.

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Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]‐Nanochannels Filled by Hard Spheres of Another Diameter

Cited by 37 publications

References 63 publications

Poisson’s Ratio of the f.c.c. Hard Sphere Crystals with Periodically Stacked (001)-Nanolayers of Hard Spheres of Another Diameter

Poisson’s Ratio of the f.c.c. Hard Sphere Crystals with Periodically Stacked (001)-Nanolayers of Hard Spheres of Another Diameter

Stiffness of Synclastic Wood‐Based Auxetic Sandwich Panels

A Simple Methodology to Generate Metamaterials and Structures with Negative Poisson's Ratio

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