New Advance of Methods and Applications in Topology Optimization and Symmetry

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

Deadline for manuscript submissions: closed (31 October 2022) | Viewed by 5696

Special Issue Editors

Department of Engineering Mechanics, School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Interests: developments of topology optimization methods and its applications in multi-physics; isogeometric topology optimization; rational design of mechanical metamaterials/composites, such as auxetic microstructures, thermal expansion, etc.
Key Laboratory of High Efficiency and Clean Mechanical Manufacture of MOE, School of Mechanical Engineering, Shandong University, Jinan 250061, China
Interests: topology optimization for additive manufacturing; multi-scale structural design; dynamic structural design
Department of Engineering Mechanics, Institute of High Performance Computing, A*STAR Research Entities, 1 Fusionopolis Way, Singapore 138632, Singapore
Interests: innovative non-unform curved stiffener layout design for grid-stiffened composite structures; structural and material design and optimization; mechanics of laminated composite structures; computational modelling techniques (finite element modelling; multi-scale modelling); progressive damage simulation of fiber-reinforced composite structures
School of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xi’an 710129, China
Interests: multi-scale design optimization structures and materials; structure topology optimization; fiber-reinforced composite design optimization; reliability-based design optimization (RBDO); artificial intelligence multi-scale design optimization of composite laminates
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Special Issue Information

Dear Colleagues,

Topology optimization has powerful capabilities to find the optimized layout of materials. Therefore, it is a rapidly growing high-impact research field that covers a wide variety of engineering fields. Topology optimization has been successfully applied to the study of several optimization problems, such as the design of fluid flow, heat transfer, coupled multi-physics, meta-/materials design, design for manufacturing or additive manufacturing, etc. Despite its fast development, several challenging issues still remain. Meanwhile, symmetry is an essential element in the design and optimization process of structures or materials. Therefore, this Special Issue intends to collect recent research efforts in the area of topology optimization and symmetry. In addition to the above-mentioned application fields, this Special Issue will publish original research papers, short reports, and reviews related to new methods and applications, machine learning-based optimization algorithms, numerical simulation and modelling, to enable the design of advanced materials and uncoupled/coupled engineering systems. We welcome the submission of high-quality original research and review articles. Potential topics for submissions include, but are not limited to:

  • Methods and applications of isogeometric topology optimization, and symmetry;
  • Methods and applications of feature-based topology optimization, and symmetry;
  • Multi/full-scale topology optimization for designs of porous structures;
  • Design of ultra-lightweight micro-architected materials, and symmetry;
  • Design of mechanical metamaterials, like the NPRs, negative thermal expansions, etc.;
  • Data-driven discoveries for accelerated design in topology optimization;
  • Application of machine learning in topology optimization;
  • Topology optimization for additive manufacturing and symmetry;
  • Educational codes;
  • Topology optimization for multi-physics problems;
  • Topology optimization in industrial application and symmetry.

Dr. Jie Gao
Dr. Quhao Li
Dr. Dan Wang
Dr. Zunyi Duan
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

  • topology optimization
  • porous structures
  • micro-architected materials
  • mechanical metamaterials
  • artificial intelligence
  • additive manufacturing

Published Papers (3 papers)

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Research

10 pages, 5337 KiB  
Article
Optimization Design of Unbonded Areas Layout in Titanium Alloy Laminates for Fatigue Performance
by Yang Liu and Shutian Liu
Symmetry 2022, 14(9), 1836; https://doi.org/10.3390/sym14091836 - 04 Sep 2022
Cited by 1 | Viewed by 971
Abstract
This paper proposed a new type of unbonded areas which are preset in diffusion bonding titanium alloy laminates (DB-TAL). A group of DB-TAL specimens with symmetric striped unbonded areas were prepared, and the fatigue experiments under symmetric tension–tension cyclic loading were conducted. The [...] Read more.
This paper proposed a new type of unbonded areas which are preset in diffusion bonding titanium alloy laminates (DB-TAL). A group of DB-TAL specimens with symmetric striped unbonded areas were prepared, and the fatigue experiments under symmetric tension–tension cyclic loading were conducted. The fatigue crack growth behavior was studied from the fracture surface. The results show that this kind of unbonded area can toughen the DB-TAL based on a new mechanism. For the new toughening mechanism, we extracted the key factors in the DB-TAL specimens with symmetric striped unbonded areas and built a simplified model to analyze the key parameters. The results show that the size and location of the unbonded areas are the key factors for the toughening design, and the model we built can efficiently give the optimization design for the DB-TAL specimens with striped unbonded areas. Full article
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17 pages, 4917 KiB  
Article
Aeroelastic Topology Optimization of Wing Structure Based on Moving Boundary Meshfree Method
by Xiaozhe Wang, Shanshan Zhang, Zhiqiang Wan and Zhi Wang
Symmetry 2022, 14(6), 1154; https://doi.org/10.3390/sym14061154 - 03 Jun 2022
Cited by 4 | Viewed by 1701
Abstract
The increasing structural flexibility of large aircraft leads to significant aeroelastic effects. More efficient topology optimization techniques are required for the design to further take advantage of aeroelasticity and obtain lightweight structures. This paper proposes a moving boundary meshfree topology optimization that combines [...] Read more.
The increasing structural flexibility of large aircraft leads to significant aeroelastic effects. More efficient topology optimization techniques are required for the design to further take advantage of aeroelasticity and obtain lightweight structures. This paper proposes a moving boundary meshfree topology optimization that combines the Galerkin method of weighted residuals and non-uniform rational B-splines (NURBS). The solution domain is described by the control points of NURBS and its property is calculated adaptively with an integration subtraction technique. The minimal compliance is searched for using the globally convergent method of moving asymptotes (GCMMA) by designing the locations of control points as subject to volume and flux constraints. The method is first applied to a typical two-dimensional design example with symmetric boundary conditions. The results show that the shape constraints can be conveniently applied, and smoother boundaries are obtained with fewer parameters. Then, a three-dimensional wing structure with asymmetric boundary conditions is optimized. A three-dimensional flight load that combines the high-order-panel and meshfree methods is employed to calculate the elastic loads and update asymmetric external loads during the optimization process. The designed wing satisfies engineering requirements and the presented method can solve the practical topology optimization problems of three-dimensional structures. Full article
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27 pages, 23013 KiB  
Article
On the Indispensability of Isogeometric Analysis in Topology Optimization for Smooth or Binary Designs
by Xiaomeng Wu, Yan Zhang, Liang Gao and Jie Gao
Symmetry 2022, 14(5), 845; https://doi.org/10.3390/sym14050845 - 19 Apr 2022
Cited by 3 | Viewed by 1899
Abstract
Recently, isogeometric analysis (IGA), which unifies the computer-aided design (CAD) model and the computer-aided engineering (CAE) model, has been adopted to develop the isogeometric topology optimization (ITO) framework. However, a critical study on the indispensability of IGA in topology optimization to take the [...] Read more.
Recently, isogeometric analysis (IGA), which unifies the computer-aided design (CAD) model and the computer-aided engineering (CAE) model, has been adopted to develop the isogeometric topology optimization (ITO) framework. However, a critical study on the indispensability of IGA in topology optimization to take the place of the conventional finite element method (FEM) is still lacking. In the current work, two important problems are extensively discussed: (1) The lower numerical precision of the FEM resulting from the disunification between the CAD and CAE models damages the effectiveness of the topology optimization, which suggests the indispensability of IGA in the replacement of the FEM in optimization; (2) a material penalization model is required to ensure the generation of a full loading-transmission path during optimization in classic density-based methods, which causes a greater overestimation of structural stiffness and also suggests the necessity of an ersatz material model. The current paper describes a promising ITO method with point-wise design to gain smooth or binary symmetrical topologies, for which an extended density distribution function (DDF) was constructed to describe the structural topology. Two benchmarks of the stiffness-maximization problem and compliant mechanism are studied in the context of the above issues. Finally, several topologically optimized designs with symmetry are obtained using the ITO method. Full article
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