Symmetry Methods in Mechanics of Materials

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: closed (30 November 2023) | Viewed by 5712

Special Issue Editors


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Guest Editor
1. Laboratoire LMC, Université Bourgogne Franche-Comté (UTBM), UMR-CNRS 5060, CEDEX, 90010 Belfort, France
2. Centre Borelli, ENS-University of Paris-Saclay, 91190 Gif-sur-Yvette, France
Interests: advanced materials; optimisation; composites; parameter identification; mechanics of materials
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Guest Editor
Department of Mechanical and Industrial Engineering, Tallinn University of Technology, 19086 Tallinn, Estonia
Interests: design optimization; numerical methods; haar wavelet methods; composite structures; fractional differential equations; nanocomposites; graphene structures; nonlocal elasticity theories; laminated glass panels; solar panels
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Special Issue Information

Dear Colleagues,

Symmetry methods play an important role in mechanics and materials as they may underline the mechanical, structural or material properties of solutions. For instance, most of the optimal designs in structural mechanics are often inspired by natural symmetry; this is evident in topology optimisation, meta-material construction, periodic and lattice structures, etc.

This Special Issue is devoted to the recent advances in structural mechanics and materials, with regard to the analysis of symmetries. Original contributions at both levels of modelling and experiments are welcome. The key topics of the issue include, but are not limited to:

  1. Symmetry in additive manufacturing processes;
  2. Symmetry in porous structures;
  3. Symmetry in meta-materials design and manufacturing;
  4. Symmetry in structural vibration;
  5. Symmetry in structural architectures;
  6. Symmetry in designing composite materials;
  7. Symmetry in structural optimisation, etc.

Prof. Dr. David Bassir
Prof. Dr. Jüri Majak
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. Symmetry 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 2400 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

  • symmetry
  • mechanics
  • materials
  • topology optimisation
  • additive manufacturing
  • porous and lattice structures
  • architectures
  • meta-materials
  • vibration

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Published Papers (3 papers)

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Research

15 pages, 9791 KiB  
Article
A Symmetry Concept for the Self-Assembly Synthesis of Mn-MIL-100 Using a Capping Agent and Its Adsorption Performance with Methylene Blue
by Guolin Song, Chengzhu Shen, David Bassir and Qiulin Li
Symmetry 2023, 15(7), 1334; https://doi.org/10.3390/sym15071334 - 29 Jun 2023
Cited by 1 | Viewed by 1458
Abstract
In this study, a facile strategy of regulated self-assembly synthesis of Mn-MIL-100, using sodium acetate (CH3COONa) as a mono-dentate ligand capping agent (CA), was proposed. The as-prepared product is denoted Mn-MIL-100-CA. The coordination modulation of CH3COONa, led by its [...] Read more.
In this study, a facile strategy of regulated self-assembly synthesis of Mn-MIL-100, using sodium acetate (CH3COONa) as a mono-dentate ligand capping agent (CA), was proposed. The as-prepared product is denoted Mn-MIL-100-CA. The coordination modulation of CH3COONa, led by its interference in the connectivity and symmetry of the metal centers and organic nodes, plays a vital role in the synthesis process. The crystallinity, morphology, topology, and properties of such MOF products were improved, since the self-assembly process of Mn-MIL-100-CA was promoted and regulated effectively. The materials were systematically characterized via XRD, SEM, N2 isotherms, XPS, and TGA in terms of crystallization behavior, morphology, topology, chemical composition, and thermal and water stability. The ability of Mn-MIL-100 and Mn-MIL-100-CA to remove methylene blue (MB) from an aqueous solution was investigated using a UV–vis spectrophotometer. The results indicate that with the addition of a molar ratio of 50% CH3COONa, Mn-MIL-100-CA particles developed a regularly symmetrical morphology, i.e., ‘spherical pyramid-like structure’ crystals with a dimension of 2~5 μm. Their specific surface area and pore volume increased by 59.2% and 56.7%, respectively. The increased proportion of Mn3+ implies reduced crystal defects and improved crystal structural order and integrity, and therefore an enhanced water stability. Mn-MIL-100-CA exhibited excellent adsorption performance towards MB from aqueous solution. The equilibrium adsorption value was as high as 1079.9 mg/g, which is 44.7% higher than that of Mn-MIL-100 without the addition of CA. The good adsorption capacity and excellent water stability mean that Mn-MIL-100-CA has great potential for the practical removal of MB dye pollutants from water. Full article
(This article belongs to the Special Issue Symmetry Methods in Mechanics of Materials)
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18 pages, 7664 KiB  
Article
Cell-Dependent Mechanical Properties of Asymmetric Crosslinked Metallic Wire Mesh with Hybrid Patterns Based on Arbitrary Poisson’s Ratio
by Fang Wu, Zeyu Li, Congcong Lin, Shaoxiang Ge and Xin Xue
Symmetry 2023, 15(4), 941; https://doi.org/10.3390/sym15040941 - 20 Apr 2023
Cited by 2 | Viewed by 1693
Abstract
Metallic wire mesh has gained attention as a potential material for lightweight aircraft structures, e.g., a metallic frame of morphing wings, due to its customizable mechanical properties associated with cell structures. However, the relationship between the pattern design of cell structures and the [...] Read more.
Metallic wire mesh has gained attention as a potential material for lightweight aircraft structures, e.g., a metallic frame of morphing wings, due to its customizable mechanical properties associated with cell structures. However, the relationship between the pattern design of cell structures and the mechanical characteristics of metallic wire mesh remains unclear. The present work aims to investigate the mechanical behavior of asymmetric crosslinked metallic wire mesh with a hybrid Poisson’s ratio pattern, which has the potentials of arbitrary Poisson’s ratios. Two typical designs of cell arrangement for asymmetric crosslinked metallic wire mesh were proposed, namely negative Poisson’s ratio cells (NPRC) and positive Poisson’s ratio cells (PPRC). The in-plane Poisson’s ratio of asymmetric crosslinked metallic wire mesh was calculated based on the Euler beam theory. The effects of hybrid Poisson’s pattern and interwoven joint on mechanical properties, including macroscopic Poisson’s ratio and elastic bending recovery, were analyzed using numerical and experimental methods. The results demonstrate that the analytical Poisson’s ratio obtained from the proposed theoretical model agrees well with the simulation result. The hybrid structure which consisted of NPRC and PPRC could effectively control transverse shrinkage and become one of the most efficient potentials for promising structures with the arbitrary Poisson’s ratio phenomenon. Full article
(This article belongs to the Special Issue Symmetry Methods in Mechanics of Materials)
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10 pages, 3442 KiB  
Article
High-Frequency Ultrasonic Radiator Power Increase by Means of Summation of Vibrations of Symmetrically Arranged Langevin Transducers
by Vladimir N. Khmelev, Andrey V. Shalunov, Victor A. Nesterov and Alexander S. Bochenkov
Symmetry 2023, 15(1), 208; https://doi.org/10.3390/sym15010208 - 11 Jan 2023
Viewed by 1458
Abstract
The article focuses on the research of processes of summation of ultrasonic vibrations of individual Langevin transducers symmetrically arranged on a common summator. This design could be used to solve the problem of increasing the power of a high-frequency ultrasonic radiator by means [...] Read more.
The article focuses on the research of processes of summation of ultrasonic vibrations of individual Langevin transducers symmetrically arranged on a common summator. This design could be used to solve the problem of increasing the power of a high-frequency ultrasonic radiator by means of the summation of the vibrations of individual Langevin transducers. The results of the presented theoretical and experimental investigations supported the possibility of summation of symmetrical diametrical vibrations when they are transformed into longitudinal vibrations. As a result, a new design scheme for high-frequency radiator construction was developed that provides symmetry and uniformity of vibration amplitude distribution of piezoceramic elements. This made it possible to eliminate the damage of piezoceramic elements. The article establishes that an acoustic power (continuous mode) of 1450 W at an efficiency of 78% is achieved when the vibrations from 9 to 11 of symmetrically arranged Langevin transducers at a resonant frequency of 30.05 kHz with an amplitude of 26 µm are summed. The use of this ultrasonic high-frequency radiator with increased power will provide intensification of processes in various areas of industry. Full article
(This article belongs to the Special Issue Symmetry Methods in Mechanics of Materials)
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