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Special Issue "Auxetic Materials 2017-2018"

A special issue of Materials (ISSN 1996-1944).

Deadline for manuscript submissions: 31 July 2018

Special Issue Editors

Guest Editor
Prof. Dr. Teik-Cheng Lim

School of Science and Technology, Singapore University of Social Sciences, Clementi Road, Singapore
Website | E-Mail
Interests: auxetics; auxetic materials; plates and shells
Guest Editor
Prof. Dr. Krzysztof Witold Wojciechowski

Department of Computational Physics of Complex Systems,Institute of Molecular Physics, Polish Academy of Sciences,Poznan, Poland
E-Mail
Interests: Aperiodic structures, auxetics, computer simulation methods (Monte Carlo, Molecular Dymanics, Finite Element Methods); elasticity (computer simulations and theory); fractional calculus; granulates; magneto-mechanic metamaterials; materials with unstable inclusions; random number generators; soft matter; statistical mechanics of hard body systems
Guest Editor
Prof. Dr. Andy Alderson

Materials and Engineering Research Institute, Faculty of ACES, Sheffield Hallam University, Sheffield S1 1WB, UK
Website 1 | Website 2 | E-Mail
Interests: auxetic materials; negative Poisson's ratio materials; smart materials; mechanical properties; polymers; composites; cellular solids

Special Issue Information

Dear Colleagues,

This Special Issue on “Auxetic Materials” is dedicated to recent advances in research and development of auxetic materials, as well as other “negative” materials, including, but not limited to, negative stiffness phases, negative compressibility materials, negative thermal expansion materials, and any other materials that possess interesting counter-intuitive properties. We invite you to submit research articles or reviews on the latest research work in these areas, with emphasis on applications in all areas of science and engineering.

Prof. Dr. Teik-Cheng Lim
Prof. Dr. Krzysztof Witold Wojciechowski
Prof. Dr. Andrew Alderson
Guest Editors

 

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Materials is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • auxetic materials

  • negative Poisson’s ratio

  • negative compressibility

  • negative stiffness phase

  • negative thermal expansion

Published Papers (8 papers)

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Research

Open AccessArticle Filtration Properties of Auxetics with Rotating Rigid Units
Materials 2018, 11(5), 725; https://doi.org/10.3390/ma11050725
Received: 5 April 2018 / Revised: 24 April 2018 / Accepted: 25 April 2018 / Published: 3 May 2018
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Abstract
Auxetic structures and materials expand laterally when stretched. It has been argued that this property could be applied in the design of smart filters with tunable sieving properties. This work analyses the filtration properties of a class of auxetic structures which achieve their
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Auxetic structures and materials expand laterally when stretched. It has been argued that this property could be applied in the design of smart filters with tunable sieving properties. This work analyses the filtration properties of a class of auxetic structures which achieve their auxeticity through a rotating rigid unit mechanism, an archetypal mechanism known to be responsible for this behavior in a number of crystalline materials. In particular, mathematical expressions are derived for the space coverage of networks constructed from a variety of quadrilaterals, as well as the pore radius. The latter is indicative of the particle size that can pass through when the particle dimension is comparable to the pore size, whereas the space coverage is indicative of the rate of flow when the particles are of a much smaller dimension than the pore size. The expressions suggest that these systems offer a wide range of pore sizes and space coverages, both of which can be controlled through the way that the units are connected to each other, their shape and the angle between them. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Open AccessArticle Auxeticity of Concentric Auxetic-Conventional Foam Rods with High Modulus Interface Adhesive
Materials 2018, 11(2), 223; https://doi.org/10.3390/ma11020223
Received: 11 December 2017 / Revised: 19 January 2018 / Accepted: 31 January 2018 / Published: 31 January 2018
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Abstract
While the rule of mixture is applicable for addressing the overall Poisson’s ratio of a concentrically aligned bi-layered rod under longitudinal loading, the same cannot be said for this rod under torsional loading due to the higher extent of deformation in the rod
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While the rule of mixture is applicable for addressing the overall Poisson’s ratio of a concentrically aligned bi-layered rod under longitudinal loading, the same cannot be said for this rod under torsional loading due to the higher extent of deformation in the rod material further away from the torsional axis. In addition, the use of adhesives for attaching the solid inner rod to the hollow outer rod introduces an intermediate layer, thereby resulting in a tri-layered concentric rod if the adhesive layer is uniformly distributed. This paper investigates the effect of the adhesive properties on the overall auxeticity of a rod consisting of two concentrically aligned cylindrical isotropic foams with Poisson’s ratio of opposite signs under torsional loads. An indirect way for obtaining Poisson’s ratio of a concentrically tri-layered rod was obtained using a mechanics of materials approach. Results show that the auxeticity of such rods is influenced by the adhesive’s stiffness, Poisson’s ratio, thickness, and radius from the torsional axis. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Open AccessArticle Computational Modelling of Structures with Non-Intuitive Behaviour
Materials 2017, 10(12), 1386; https://doi.org/10.3390/ma10121386
Received: 30 October 2017 / Revised: 22 November 2017 / Accepted: 1 December 2017 / Published: 4 December 2017
Cited by 6 | PDF Full-text (15743 KB) | HTML Full-text | XML Full-text
Abstract
This paper presents a finite-element analysis of honeycomb and re-entrant honeycomb structures made of a two-phase composite material which is optimized with respect to selected parameters. It is shown that some distributions of each phase in the composite material result in the counter-intuitive
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This paper presents a finite-element analysis of honeycomb and re-entrant honeycomb structures made of a two-phase composite material which is optimized with respect to selected parameters. It is shown that some distributions of each phase in the composite material result in the counter-intuitive mechanical behaviour of the structures. In particular, negative values of effective Poisson’s ratio, i.e., effective auxeticity, can be obtained for a hexagonal honeycomb, whereas re-entrant geometry can be characterized by positive values. Topology optimization by means of the method of moving asymptotes (MMA) and solid isotropic material with penalization (SIMP) was used to determine the materials’ distributions. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Open AccessArticle Finite Element Analysis of Tunable Composite Tubes Reinforced with Auxetic Structures
Materials 2017, 10(12), 1359; https://doi.org/10.3390/ma10121359
Received: 1 November 2017 / Revised: 14 November 2017 / Accepted: 22 November 2017 / Published: 27 November 2017
Cited by 4 | PDF Full-text (7544 KB) | HTML Full-text | XML Full-text
Abstract
A tubular composite structure that is built of two materials, characterized by different Young moduli, is analysed in this paper. The Young’s modulus of one of these materials can be controlled by external conditions e.g., magnetic or electric field, temperature etc. The geometry
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A tubular composite structure that is built of two materials, characterized by different Young moduli, is analysed in this paper. The Young’s modulus of one of these materials can be controlled by external conditions e.g., magnetic or electric field, temperature etc. The geometry of the reinforcement is based on typical auxetic re-entrant honeycomb cellular structure. The influence of this external factor on the behaviour of the stretched tube is analysed in this paper. Also, the possibility of creating a tubular composite structure whose cross-section is either shrinking or expanding, while stretching the tube is presented. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Graphical abstract

Open AccessArticle Auxeticity of Yukawa Systems with Nanolayers in the (111) Crystallographic Plane
Materials 2017, 10(11), 1338; https://doi.org/10.3390/ma10111338
Received: 31 October 2017 / Revised: 16 November 2017 / Accepted: 17 November 2017 / Published: 22 November 2017
Cited by 4 | PDF Full-text (5084 KB) | HTML Full-text | XML Full-text
Abstract
Elastic properties of model crystalline systems, in which the particles interact via the hard potential (infinite when any particles overlap and zero otherwise) and the hard-core repulsive Yukawa interaction, were determined by Monte Carlo simulations. The influence of structural modifications, in the form
[...] Read more.
Elastic properties of model crystalline systems, in which the particles interact via the hard potential (infinite when any particles overlap and zero otherwise) and the hard-core repulsive Yukawa interaction, were determined by Monte Carlo simulations. The influence of structural modifications, in the form of periodic nanolayers being perpendicular to the crystallographic axis [111], on auxetic properties of the crystal was investigated. It has been shown that the hard sphere nanolayers introduced into Yukawa crystals allow one to control the elastic properties of the system. It has been also found that the introduction of the Yukawa monolayers to the hard sphere crystal induces auxeticity in the [ 11 1 ¯ ] [ 112 ] -direction, while maintaining the negative Poisson’s ratio in the [ 110 ] [ 1 1 ¯ 0 ] -direction, thus expanding the partial auxeticity of the system to an additional important crystallographic direction. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Open AccessArticle The Isotropic and Cubic Material Designs. Recovery of the Underlying Microstructures Appearing in the Least Compliant Continuum Bodies
Materials 2017, 10(10), 1137; https://doi.org/10.3390/ma10101137
Received: 29 August 2017 / Revised: 20 September 2017 / Accepted: 21 September 2017 / Published: 26 September 2017
Cited by 3 | PDF Full-text (11482 KB) | HTML Full-text | XML Full-text
Abstract
The paper discusses the problem of manufacturability of the minimum compliance designs of the structural elements made of two kinds of inhomogeneous materials: the isotropic and cubic. In both the cases the unit cost of the design is assumed as equal to the
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The paper discusses the problem of manufacturability of the minimum compliance designs of the structural elements made of two kinds of inhomogeneous materials: the isotropic and cubic. In both the cases the unit cost of the design is assumed as equal to the trace of the Hooke tensor. The Isotropic Material Design (IMD) delivers the optimal distribution of the bulk and shear moduli within the design domain. The Cubic Material Design (CMD) leads to the optimal material orientation and optimal distribution of the invariant moduli in the body made of the material of cubic symmetry. The present paper proves that the varying underlying microstructures (i.e., the representative volume elements (RVE) constructed of one or two isotropic materials) corresponding to the optimal designs constructed by IMD and CMD methods can be recovered by matching the values of the optimal moduli with the values of the effective moduli of the RVE computed by the theory of homogenization. The CMD method leads to a larger set of results, i.e., the set of pairs of optimal moduli. Moreover, special attention is focused on proper recovery of the microstructures in the auxetic sub-domains of the optimal designs. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Open AccessArticle Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization
Materials 2017, 10(10), 1125; https://doi.org/10.3390/ma10101125
Received: 7 August 2017 / Revised: 14 September 2017 / Accepted: 15 September 2017 / Published: 22 September 2017
Cited by 6 | PDF Full-text (10410 KB) | HTML Full-text | XML Full-text
Abstract
We present a novel approach for gradient based maximization of phononic band gaps. The approach is a geometry projection method combining parametric shape optimization with density based topology optimization. By this approach, we obtain, in a two dimension setting, cellular structures exhibiting relative
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We present a novel approach for gradient based maximization of phononic band gaps. The approach is a geometry projection method combining parametric shape optimization with density based topology optimization. By this approach, we obtain, in a two dimension setting, cellular structures exhibiting relative and normalized band gaps of more than 8 and 1.6, respectively. The controlling parameter is the minimal strut size, which also corresponds with the obtained stiffness of the structure. The resulting design principle is manually interpreted into a three dimensional structure from which cellular metal samples are fabricated by selective electron beam melting. Frequency response diagrams experimentally verify the numerically determined phononic band gaps of the structures. The resulting structures have band gaps down to the audible frequency range, qualifying the structures for an application in noise isolation. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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Open AccessArticle Finite Element Modeling of Multilayer Orthogonal Auxetic Composites under Low-Velocity Impact
Materials 2017, 10(8), 908; https://doi.org/10.3390/ma10080908
Received: 27 June 2017 / Revised: 14 July 2017 / Accepted: 2 August 2017 / Published: 5 August 2017
Cited by 2 | PDF Full-text (8110 KB) | HTML Full-text | XML Full-text
Abstract
The multilayer orthogonal auxetic composites have been previously developed and tested to prove that they own excellent energy absorption and impact protection characteristics in a specific strain range under low-velocity impact. In this study, a three dimensional finite element (FE) model in ANSYS
[...] Read more.
The multilayer orthogonal auxetic composites have been previously developed and tested to prove that they own excellent energy absorption and impact protection characteristics in a specific strain range under low-velocity impact. In this study, a three dimensional finite element (FE) model in ANSYS LS-DYNA was established to simulate the mechanical behavior of auxetic composites under low-velocity drop-weight impact. The simulation results including the Poisson’s ratio versus compressive strain curves and the contact stress versus compressive strain curves were compared with those in the experiments. The clear deformation pictures of the FE models have provided a simple and effective way for investigating the damage mechanism and optimizing the material, as well as structure design. Full article
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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