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Special Issue "Auxetic Materials 2017"

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

Deadline for manuscript submissions: 31 October 2017

Special Issue Editors

Guest Editor
Prof. Dr. Teik-Cheng Lim

School of Science and Technology, SIM University, 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, Poland
E-Mail
Guest Editor
Prof. Dr. Andy Alderson

Materials and Engineering Research Institute, Faculty of ACES, Sheffield Hallam University, Sheffield S1 1WB,
Website1 | Website2 | 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 1500 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 (3 papers)

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Research

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; doi:10.3390/ma10101137
Received: 29 August 2017 / Revised: 20 September 2017 / Accepted: 21 September 2017 / Published: 26 September 2017
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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)
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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; doi:10.3390/ma10101125
Received: 7 August 2017 / Revised: 14 September 2017 / Accepted: 15 September 2017 / Published: 22 September 2017
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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)
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Open AccessArticle Finite Element Modeling of Multilayer Orthogonal Auxetic Composites under Low-Velocity Impact
Materials 2017, 10(8), 908; doi:10.3390/ma10080908
Received: 27 June 2017 / Revised: 14 July 2017 / Accepted: 2 August 2017 / Published: 5 August 2017
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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
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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)
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Figure 1

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Type of Paper: Article
Title: The isotropic and cubic material designs. Recovery of the underlying microstructures appearing in the least compliant continuum bodies
Authors: S. Czarnecki, T. Łukasiak, T. Lewiński
Affiliation: Faculty of Civil Engineering, Warsaw University of Technology.
Abstract: Deformation of the optimal least compliant elastic bodies made of isotropic or cubic material of spatially varying properties turns out to be locally bounded if the unit cost of the designs is assumed as proportional to the trace of the Hooke tensor, see Refs.[1-5] concerning the isotropic material design (IMD) and cubic material design(CMD) methods. In the 2D setting, in case of the absolute value of the trace of the stress tensor being smaller than the Euclidean norm of its deviator, the optimal isotropic material assumes auxetic properties. The aim of the present paper is show continuously varying underlying microstructures corresponding to the optimal designs constructed by the IMD and CMD methods. A special attention is focused on proper recovery of the microstructures in the auxetic sub-domains of the optimal designs.
References
[1] Czarnecki, S., Isotropic material design. Computational Methods in Science and Technology. vol.21, 2015: 49-64.
[2] Czarnecki, S. & Lewiński, T., A stress-based formulation of the free material design problem with the trace constraint and multiple load conditions. Structural and Multidisciplinary Optimization vol.49, 2014: 707–731.
[3] Czarnecki S. & Lewiński T., On material design by the optimal choice of Young’s modulus distribution. International Journal of Solids and Structures, vol. 110-111, 2017: pp 315-331.
[4] Czarnecki, S. & Wawruch, P., The emergence of auxetic material as a result of optimal isotropic design, Physica Status Solidi (B). vol.252, 2015: 1-11.
[5] Czubacki, R. & Lewiński, T., Topology optimization of spatial continuum structures made of non-homogeneous material of cubic symmetry, Journal of Mechanics of Materials and Structures. vol.10, 2015: 519-535.

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