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Crystals
Special Issues
Recent Advances in Quasicrystals
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Recent Advances in Quasicrystals

A special issue of Crystals (ISSN 2073-4352). This special issue belongs to the section "Crystalline Metals and Alloys".

Deadline for manuscript submissions: closed (15 September 2023) | Viewed by 3912

Special Issue Editors

Dr. Eleni Agiasofitou

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Guest Editor
Karlsruhe Institute of Technology (KIT), Institute of Engineering Mechanics, 76131 Karlsruhe, Germany
Interests: applied mathematics; conservation laws; configurational mechanics; nonlocal elasticity; gradient elasticity; wave propagation; dislocation theory; fracture mechanics; quasicrystals; piezoelectric materials
Dr. Markus Lazar

E-Mail Website1 Website2
Guest Editor
Karlsruhe Institute of Technology (KIT), Institute of Engineering Mechanics, 76131 Karlsruhe, Germany
Interests: dislocation dynamics; generalized continuum field theories; nonlocal elasticity; gradient elasticity; microcontinuum field theories; wave propagation; applied mathematics; configurational mechanics; quasicrystals; piezoelectric materials

Special Issue Information

Dear Colleagues,

This Special Issue of Crystals is devoted to the “Recent Advances in Quasicrystals”. The aim of the Special Issue is to bring together researchers spanning the wide spectrum of quasicrystals, providing a current depiction of the research in this field, offering a venue for a deeper understanding and embracing new technologies and applications, in which the unique features of quasicrystals and their great potential can be unveiled. This Special Issue welcomes contributions in topics that include mathematics, physics, material science, mechanics, metallurgy, and crystallography, covering the highly interdisciplinary research in the field of quasicrystals.

All papers should contain original results relating to theoretical, experimental, or computational research, as well as applications of quasicrystals in technology. Crystals is open to both original research articles and review articles. The topics of the Special Issue include, but are not limited to, the following:

  • Structure and symmetries of quasicrystals.
  • Properties of quasicrystals: physical, optical, transport, electric, magnetic, chemical, piezoelectric, etc.
  • Defects in quasicrystals: cracks, dislocations, inclusions, etc.
  • Experimental techniques for microstructure and defect investigation.
  • Generalized dynamics of quasicrystals.
  • Soft-matter quasicrystals.
  • Applications of quasicrystals in technology.

Dr. Eleni Agiasofitou
Dr. Markus Lazar
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 submissions that pass pre-check are 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. Crystals 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 2600 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

  • structure and symmetries of quasicrystals
  • properties of quasicrystals
  • defects of quasicrystals
  • experimental techniques for microstructure and defect investigation
  • generalized dynamics of quasicrystals
  • soft-matter quasicrystals
  • applications

Published Papers (3 papers)

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Research

28 pages, 4467 KiB  
Article
Mechanical Analysis of Functionally Graded Multilayered Two-Dimensional Decagonal Piezoelectric Quasicrystal Laminates with Imperfect Interfaces
by Yuxuan Wang, Chao Liu, Liangliang Zhang, Ernian Pan and Yang Gao
Crystals 2024, 14(2), 170; https://doi.org/10.3390/cryst14020170 - 07 Feb 2024
Viewed by 662
Abstract
Quasicrystals have a wide range of applications due to their unique multi-field coupling effects and distinctive physical and mechanical characteristics. In this paper, the static and dynamic problems of imperfectly bonded, multilayered, functionally graded, two-dimensional decagonal piezoelectric quasicrystal laminates under mixed boundary conditions [...] Read more.
Quasicrystals have a wide range of applications due to their unique multi-field coupling effects and distinctive physical and mechanical characteristics. In this paper, the static and dynamic problems of imperfectly bonded, multilayered, functionally graded, two-dimensional decagonal piezoelectric quasicrystal laminates under mixed boundary conditions are investigated. The state equations in a concise and compact matrix form can be expressed by using differential quadrature regional discrete point expansions in any layer of the laminate. This allows for the representation of displacement, stress, electric potential, and electric displacement components. Then, different imperfect interface conditions are introduced to characterize specific structural and electric contact properties at the bounding interfaces, which are further converted to the interface propagator matrix. Numerical examples are carried out to investigate the impact of varying interface compliances, load types, and functional gradient factors on the static bending and vibration phenomena of QC laminates. These results can be used as references to validate existing or future numerical work on QC laminates and could further guide the design of related QC laminate structures. Full article
(This article belongs to the Special Issue Recent Advances in Quasicrystals)
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23 pages, 354 KiB  
Article
On the Constitutive Modelling of Piezoelectric Quasicrystals
by Eleni Agiasofitou and Markus Lazar
Crystals 2023, 13(12), 1652; https://doi.org/10.3390/cryst13121652 - 30 Nov 2023
Cited by 1 | Viewed by 1227
Abstract
Quasicrystals endowed with piezoelectric properties belong nowadays to novel piezoelectric materials. In this work, the basic framework of generalized piezoelectricity theory of quasicrystals is investigated by providing an improvement of the existing constitutive modelling. It is shown, for the first time, that the [...] Read more.
Quasicrystals endowed with piezoelectric properties belong nowadays to novel piezoelectric materials. In this work, the basic framework of generalized piezoelectricity theory of quasicrystals is investigated by providing an improvement of the existing constitutive modelling. It is shown, for the first time, that the tensor of phason piezoelectric moduli is fully asymmetric without any major or minor symmetry, which has important consequences on the constitutive relations as well as on its classification with respect to the crystal systems and Laue classes. The exploration of the tensor of phason piezoelectric moduli has a significant impact on the understanding of the piezoelectric properties of quasicrystals. Using the group representation theory, the classification of the tensor of phason piezoelectric moduli with respect to the crystal systems and Laue classes is given for one-dimensional quasicrystals. The number of independent components of the phason piezoelectric moduli is determined for all 31 point groups of one-dimensional quasicrystals. It is proven that the 10 centrosymmetric crystallographic point groups have no piezoelectric effects and that the remaining 21 non-centrosymmetric crystallographic point groups exhibit piezoelectric effects due to both phonon and phason fields. Moreover, the constitutive relations for one-dimensional hexagonal piezoelectric quasicrystals of Laue class 9 with point group 6 and Laue class 10 with point group 6mm are explicitly derived, showing that the constitutive relations for piezoelectric quasicrystals depend on the considered Laue class as well as on the point group. Comparisons with existing results in the literature and discussion are also given. Full article
(This article belongs to the Special Issue Recent Advances in Quasicrystals)
23 pages, 2389 KiB  
Article
Dynamic Analysis of Multilayered Piezoelectric Quasicrystal Three-Dimensional Sector Plates with Imperfect Interfaces
by Yuxuan Wang, Xin Feng, Liangliang Zhang, Ernian Pan and Yang Gao
Crystals 2023, 13(10), 1412; https://doi.org/10.3390/cryst13101412 - 23 Sep 2023
Viewed by 625
Abstract
Piezoelectric quasicrystals have attracted extensive attention due to their unique physical and mechanical properties. This paper studies the dynamic response of multilayered two-dimensional decagonal piezoelectric quasicrystal sector plates with imperfect interfaces. Based on the quasicrystal linear elasticity, partial differential state equations along the [...] Read more.
Piezoelectric quasicrystals have attracted extensive attention due to their unique physical and mechanical properties. This paper studies the dynamic response of multilayered two-dimensional decagonal piezoelectric quasicrystal sector plates with imperfect interfaces. Based on the quasicrystal linear elasticity, partial differential state equations along the thickness direction are derived by using the state-space method. Then, by virtue of the differential quadrature method and the Fourier series expansions, this boundary-value problem with mixed boundary conditions and imperfect interfaces is solved. In addition, via the joint coupling matrix, the field quantities in the interior of the structure are connected to those on the external surfaces with numerical instability. Finally, parameter studies on the effects of angular spans, imperfect interfaces, and mixed boundary conditions are numerically investigated where the dimensionless frequencies and modes are exhibited. Full article
(This article belongs to the Special Issue Recent Advances in Quasicrystals)
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