Symmetry in Metamaterials, Composite Structures, and Lattice Structures

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

Deadline for manuscript submissions: 31 August 2026 | Viewed by 786

Special Issue Editors


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Guest Editor
Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada
Interests: lattice structures; finite element analysis; structural optimization; vibration analysis; structural health monitoring; damage detectionite element analysis; load path analysis; smart materials; mechanical vibration; energy harvester
School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China
Interests: piezoelectric; energy harvesting; mechanical vibration

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Guest Editor
School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China
Interests: lattice structures; topology optimization; lightweight design; load path analysis; automotive engineering

Special Issue Information

Dear Colleagues,

Symmetry plays a fundamental role in forming advanced engineering materials and structures. In metamaterials, symmetry enables extraordinary functionalities such as negative Poisson’s ratio and quasi-zero stiffness. Composite structures leverage symmetry for enhanced stiffness, strength, and tailored anisotropy, while lattice structures exploit periodicity to optimize weight efficiency and energy absorption capacity. Understanding and implementing symmetry principles can lead to novel design concepts with superior mechanical and other specific properties.

This Special Issue aims to explore the significance of symmetry in metamaterials, composite structures, and lattice structures, and we welcome both original research articles and review articles. Research areas may include (but are not limited to) the following:

  • Fiber-reinforced composite structures;
  • Metamaterials with symmetric/asymmetric patterns;
  • Mechanical behaviors of symmetric lattice structures;
  • Numerical modeling and experimental validation;
  • Additive manufacturing.

Dr. Shengjie Zhao
Dr. Yu Xiao
Dr. Zhaohua Wang
Guest Editors

Manuscript Submission Information

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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

  • metamaterials
  • lattice structures
  • composite structures
  • periodic structures
  • design optimization
  • computer-aided design
  • additive manufacturing
  • computational modeling

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Published Papers (1 paper)

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Research

37 pages, 8744 KB  
Article
A Novel Evolutionary Structural Topology Optimization Method Based on Load Path Theory and Element Bearing Capacity
by Jianchang Hou, Zhanpeng Jiang, Xiaolu Huang, Hui Lian, Zijian Liu, Yingbing Sun and Fenghe Wu
Symmetry 2025, 17(9), 1424; https://doi.org/10.3390/sym17091424 - 2 Sep 2025
Viewed by 519
Abstract
Structural topology optimization is a crucial approach for achieving lightweight design. An effective topology optimization algorithm must strike a balance between the objective functions, constraints, and design variables, which essentially reflects the symmetry and tradeoff between the objective and constraints. In this study, [...] Read more.
Structural topology optimization is a crucial approach for achieving lightweight design. An effective topology optimization algorithm must strike a balance between the objective functions, constraints, and design variables, which essentially reflects the symmetry and tradeoff between the objective and constraints. In this study, a topology optimization method grounded in load path theory is proposed. Element bearing capacity is quantified using the element birth and death method, with an explicit formulation derived via finite element theory. The effectiveness in evaluating structural performance is assessed through comparisons with stress distributions and topology optimization density maps. In addition, a novel evaluation index for element bearing capacity is proposed as the objective function in the topology optimization model, which is validated through thin plate optimization. Subsequently, sensitivity redistribution mitigates checkerboard patterns, while mesh filtering suppresses multi-branch structures and prevents local optima. The method is applied for the lightweight design of a triangular arm, with results benchmarked against the variable density method, demonstrating the feasibility and effectiveness of the proposed method. The element bearing capacity seeks to homogenize the load distribution of each element; the technique in this study can be extended to the optimization of symmetric structures. Full article
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