Article
Mechanics
Wendong Huo, Chang Liu, Zongliang Du, Xudong Jiang, Zhenyu Liu, Xu Guo
Summary: This article proposes an integrated paradigm for topology optimization on complex surfaces using structural components and computational conformal mapping technique. Numerical examples demonstrate the effectiveness and efficiency of the proposed approach, which outperforms traditional methods.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2022)
Article
Materials Science, Multidisciplinary
Tianchen Cui, Zongliang Du, Chang Liu, Zhi Sun, Xu Guo
Summary: In this article, an explicit topology optimization approach with components-growing ability is proposed under the MMC framework. The approach optimizes the shape and topology layout of structures by the growth evolution of moving morphable components. It eliminates the initial design dependency by allowing the addition of new components or modification of the current layout.
ACTA MECHANICA SOLIDA SINICA
(2022)
Article
Computer Science, Interdisciplinary Applications
Zongliang Du, Tianchen Cui, Chang Liu, Weisheng Zhang, Yilin Guo, Xu Guo
Summary: This study proposes an efficient and easy-to-extend three-dimensional topology optimization method, which improves the efficiency and performance of the optimization process by introducing new numerical techniques and optimizing the load transmission path.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Multidisciplinary
Shuai Zheng, Haojie Fan, Ziyu Zhang, Zhiqiang Tian, Kang Jia
Summary: This study introduces a real-time structural topology optimization method based on a convolutional neural network, replacing traditional iterative calculations with residual learning and attention mechanisms, significantly improving accuracy.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Multidisciplinary
Rixin Wang, Xianmin Zhang, Benliang Zhu
Summary: The paper introduces a projective transformation-based topology optimization method using moving morphable components to improve manufacturability of optimal results without being affected by background mesh quality. The proposed method can handle components that are difficult to describe and has been verified effective through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
Jialin Li, Youwei Zhang, Zongliang Du, Weisheng Zhang, Xinglin Guo, Xu Guo
Summary: This study proposes a framework based on moving morphable components for solving topology optimization problems considering single-frequency and band-frequency steady-state structural dynamic responses. By optimizing the parameters characterizing the locations and geometries of the components, the optimal structural layout can be found. The degree of freedom elimination technique is employed to reduce computational burden. The proposed approach can overcome challenges associated with traditional approaches and is effective for solving topology optimization problems involving structural dynamic behaviors, especially high-frequency responses.
ACTA MECHANICA SOLIDA SINICA
(2022)
Article
Computer Science, Interdisciplinary Applications
T. Shannon, T. T. Robinson, A. Murphy, C. G. Armstrong
Summary: This paper presents the development of generalized Bezier components in the Moving Morphable Components optimization framework and discusses methods for enhancing component parameterization. By using control points and Bezier curves to represent structural components, the shape flexibility and parameterization compatibility with commercial CAD packages are achieved. The paper also includes methods for calculating analytical derivatives and numerical examples to demonstrate the integration of these structural components in the optimization framework.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Multidisciplinary
Xudong Jiang, Chang Liu, Zongliang Du, Wendong Huo, Xiaoyu Zhang, Feng Liu, Xu Guo
Summary: In this paper, a unified framework for explicit layout/topology optimization of thin-walled structures is introduced. The framework reduces computational cost and improves analysis accuracy, achieves clear material distribution and component placement, and allows easy control of component sizes. The optimized designs can be seamlessly imported into CAD systems, making it highly valuable for practical engineering applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Xudong Jiang, Weisheng Zhang, Chang Liu, Zongliang Du, Xu Guo
Summary: This study investigates the simultaneous shape and topology optimization of shell structures using the Moving Morphable Component (MMC) approach. Unlike traditional implicit optimization methods, the proposed method is developed in a pure explicit way, which is beneficial for optimizing shell structures with complex geometry. By representing the geometric shape and topological form of the shell using Non-Uniform Rational B-Splines (NURBS) in physical space and a series of components in parametric space, the topology and shape of the shell can be optimized simultaneously with fewer design variables, and the results can be seamlessly integrated with CAD systems. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Multidisciplinary
Xudong Jiang, Chang Liu, Shaohui Zhang, Weisheng Zhang, Zongliang Du, Xiaoyu Zhang, Huizhong Zeng, Xu Guo
Summary: This paper proposes an explicit method for topology optimization of stiffened plate structures by seeking the optimal geometry parameters of a series of moving morphable components. The proposed approach provides a clear description of the structure and enables the generation of a stiffened plate structure with clear stiffener distribution and smooth geometric boundary.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2023)
Article
Computer Science, Interdisciplinary Applications
Ki Hyun Kim, Gil Ho Yoon
Summary: In this study, an acoustic topology optimization method using moving morphable components (MMCs) was developed for the design of 2D sound reduction structures. By changing the parameters and overlapping of MMCs, the shape of the structure is formed to improve the acoustic performance of sound reduction structures. Various designs were evaluated under different conditions and optimization settings, and additional design procedures were devised to enhance the acoustic performance of sound reduction structures.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Thermodynamics
Ke Zhang, Honglei Liu, Fei Du, Xiaoming Chen, Baotong Li, Jun Hong
Summary: This study presents the optimal design of a heat sink using Moving Morphable Components (MMC) for natural convection problems. The topology optimization design of the heat sink is computationally intensive due to the fully coupled nonlinear multi-physics model and large number of design variables. Reduced-order model and Gaussian Seidel iteration algorithm are employed to simplify the model and reduce computing scale. The MMC-based topology optimization demonstrates similar heat sink design and good heat dissipation performance with fewer design variables compared to density-based topology optimization.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2023)
Article
Materials Science, Multidisciplinary
Lei Xu, Weisheng Zhang, Zhenyu Liu, Xu Guo
Summary: Sound quality is crucial for evaluating acoustic device performance. This study proposes an explicit topology optimization approach to enhance the sound quality of acoustic-mechanical structures, using frequency response within a specified range to describe sound quality. The moving morphable component (MMC)-based approach is employed for topology design, while the mixed finite element method is used for sound quality evaluation. Numerical examples demonstrate the effectiveness of the proposed approach in improving sound quality.
ACTA MECHANICA SOLIDA SINICA
(2023)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yao Meng, Xiaoye Yan, Li-Hua Shao, Dongze Yan, Chang Liu, Sung-Kie Youn, Xu Guo
Summary: This paper proposes a moving morphable component (MMC)-based topology optimization approach for designing graded lattice flexoelectric nanostructures. The infill structure is described using a set of components, with a coordinate perturbation made to achieve a graded distribution of the flexoelectric materials. The use of lower/upper bound constraints controls the singular disconnected structure. An ersatz material model combining isogeometric analysis (IGA) with MMC is developed to ensure continuity in the approximation of the PDEs of flexoelectricity. The design results demonstrate better flexoelectric performance compared to traditional structural configurations.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Automation & Control Systems
Thomas Rochefort-Beaudoin, Aurelian Vadean, Jean-Francois Gamache, Sofiane Achiche
Summary: In this paper, a deep learning model is trained on the moving morphable components (MMC) framework to directly generate geometric design variables, addressing the limitations of existing machine learning accelerated topology optimization methods trained on datasets with limited diversity of boundary conditions. The model achieves scalability by being independent of the finite element mesh used for structural analysis. However, the generated topologies have poor mechanical performance, which is improved by using the trained model to generate improved initial designs for conventional optimization.
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
(2023)
Article
Materials Science, Multidisciplinary
Jialin Li, Youwei Zhang, Zongliang Du, Weisheng Zhang, Xinglin Guo, Xu Guo
Summary: This study proposes a framework based on moving morphable components for solving topology optimization problems considering single-frequency and band-frequency steady-state structural dynamic responses. By optimizing the parameters characterizing the locations and geometries of the components, the optimal structural layout can be found. The degree of freedom elimination technique is employed to reduce computational burden. The proposed approach can overcome challenges associated with traditional approaches and is effective for solving topology optimization problems involving structural dynamic behaviors, especially high-frequency responses.
ACTA MECHANICA SOLIDA SINICA
(2022)
Article
Mechanics
Zongliang Du, Yibo Jia, Hayoung Chung, Yupeng Zhang, Yuan Li, Hao Zhou, Xu Guo
Summary: This article introduces a bi-modulus constitutive model to study the thermo-mechanical coupling effect in materials and structures. An efficient numerical analysis method is developed and applied for structural topology optimization, demonstrating the significance of the proposed analysis and design framework.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Engineering, Mechanical
Yue Wang, Hua Zhang, Zongliang Du, Weisheng Zhang, Xu Guo
Summary: In this work, a hybrid topology optimization scheme based on the MMC method is proposed for the design of stiffened membrane structure. By constructing a hybrid structure model with multiple element types, an accurate and effective simulation of the structure is achieved.
JOURNAL OF MECHANICAL DESIGN
(2022)
Article
Engineering, Multidisciplinary
Xudong Jiang, Weisheng Zhang, Chang Liu, Zongliang Du, Xu Guo
Summary: This study investigates the simultaneous shape and topology optimization of shell structures using the Moving Morphable Component (MMC) approach. Unlike traditional implicit optimization methods, the proposed method is developed in a pure explicit way, which is beneficial for optimizing shell structures with complex geometry. By representing the geometric shape and topological form of the shell using Non-Uniform Rational B-Splines (NURBS) in physical space and a series of components in parametric space, the topology and shape of the shell can be optimized simultaneously with fewer design variables, and the results can be seamlessly integrated with CAD systems. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Multidisciplinary
Xudong Jiang, Wendong Huo, Chang Liu, Zongliang Du, Xiaoyu Zhang, Xiao Li, Xu Guo
Summary: In this paper, an explicit layout optimization method is proposed for designing rib-reinforced thin-walled structures with complex geometries. The method includes two key steps: parameterizing complex surfaces using the Computational Conformal Mapping (CCM) technique, and carrying out explicit layout optimization under the Moving Morphable Component (MMC)-based solution framework. The proposed method provides clear rib-reinforced layouts for complex thin-walled structures and the optimized results can be directly imported into CAD/CAE systems for further processing.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Mechanical
Song Zhou, Yongchuan Ma, Zhi Sun, Xiaofei Hu
Summary: This article introduces a new super symplectic analytical singular element (SSASE) for modeling crack propagation along a bimaterial interface. The SSASE, which uses a general convex polygon shape and symplectic eigen solution, provides a more accurate representation of crack propagation and has been validated through numerical examples.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Engineering, Mechanical
Hangyu Lv, Shanshan Shi, Bingzhi Chen, Jiaxin Ma, Zhi Sun
Summary: Grid structures have been added innovatively to honeycomb structures to form grid-honeycomb hybrid cores with great potential for engineering application. The impact response of composite sandwich structures with grid-honeycomb hybrid cores was investigated using experimental and numerical simulation. The results showed that the intersection had the highest impact resistance, with higher peak load, damage threshold load, and initial stiffness, and lower maximum displacement and residual displacement compared to the rib and center. Additionally, the grid thickness had a significant effect on impact resistance.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Computer Science, Interdisciplinary Applications
Yunhang Guo, Zongliang Du, Lubin Wang, Wen Meng, Tien Zhang, Ruiyi Su, Dongsheng Yang, Shan Tang, Xu Guo
Summary: Developing appropriate constitutive models for new materials with nonlinear mechanical behavior is challenging. The present work proposes a data-driven topology optimization framework for three-dimensional continuum structures under finite deformation, using neural networks and explicit topology optimization. Numerical examples demonstrate the effectiveness of the approach, enabling optimal design of continuum structures composed of novel materials without available constitutive relations.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Mechanical
Xiaofei Hu, Siyuan Tan, Danli Xia, Lang Min, Huiqian Xu, Weian Yao, Zhi Sun, Peng Zhang, Tinh Quoc Bui, Xiaoying Zhuang, Timon Rabczuk
Summary: Phase field models are a useful tool for modelling failure processes in engineering applications, but their computational inefficiency hinders wider adoption. While most studies focus on implicit models, recent studies have shown the higher computational efficiency of explicit models. This contribution provides an overview of both implicit and explicit phase field models for quasi-static failure processes, discussing their theories and implementation in ABAQUS software. Several numerical examples are presented, demonstrating the improved efficiency of the explicit model compared to the implicit model.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Engineering, Mechanical
Zongliang Du, Jiachen Luo, Zhiang Xu, Zhenhao Jiang, Xianggui Ding, Tianchen Cui, Xu Guo
Summary: In this study, a fast design framework for mechanical higher-order topological insulators (HOTIs) is developed using a multitask learning model and explicit topology optimization method. The optimized HOTI with highly localized corner states demonstrates the potential applications in programmable mechanical imaging.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Materials Science, Multidisciplinary
Jiachen Luo, Zongliang Du, Hui Chen, Xianggui Ding, Chang Liu, Weisheng Zhang, Xu Guo
Summary: This work proposes a systematic design framework for 3D mechanical higher-order topological insulators (HOTIs) by combining the symmetry indicators (SI) method and the moving morphable components (MMC) method. It modifies the classic formulas of topological invariants for elastic waves and designs helical multipole topological insulators (MTIs) with corner states and helical energy fluxes by constraining topological invariants and maximizing band gap width. This design paradigm can be extended to different symmetry classes, space groups, and physical systems.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Engineering, Mechanical
Zongliang Du, Wenyu Hao, Xiaodong Chen, Xiuquan Hou, Wendong Huo, Chang Liu, Weisheng Zhang, Tianchen Cui, Xu Guo
Summary: A parametric model for sponge-like lattices is developed, and a neural network model is trained to accurately and efficiently map geometry parameters to effective stiffness and buckling resistance. An optimization formulation is proposed to design sponge-like lattices with specific requirements. This AI-enhanced bioinspiration paradigm significantly improves the performance of the original sponge-lattice model and provides a novel pathway for designing innovative materials and structural systems.
EXTREME MECHANICS LETTERS
(2023)
Article
Mechanics
Zongliang Du, Yunhang Guo, Chang Liu, Weisheng Zhang, Riye Xue, Yilin Guo, Shan Tang, Xu Guo
Summary: This work presents an explicit three-dimensional topology optimization approach for multi-material composite structures considering finite deformation. The approach uses different sets of three-dimensional Moving Morphable Voids (MMVs) to identify each phase material, resulting in explicit geometric descriptions of the optimized composite structures and a reduction in the number of design variables. By decoupling the topology description and finite element analysis, redundant degrees of freedom are eliminated, mitigating the convergence issue of finite deformation analysis caused by low-density elements and leading to significant computational savings.
COMPOSITE STRUCTURES
(2024)
Article
Engineering, Multidisciplinary
Wendong Huo, Chang Liu, Yunpu Liu, Zongliang Du, Weisheng Zhang, Xu Guo
Summary: This article proposes a novel explicit approach based on the MMC method for designing complex thin-walled structures, addressing various design issues caused by geometric complexity and thickness variation. By introducing embedded solid components, the proposed method overcomes the limitations of shell assumptions and achieves optimized designs with clear load transmission paths.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Xudong Jiang, Chang Liu, Shaohui Zhang, Weisheng Zhang, Zongliang Du, Xiaoyu Zhang, Huizhong Zeng, Xu Guo
Summary: This paper proposes an explicit method for topology optimization of stiffened plate structures by seeking the optimal geometry parameters of a series of moving morphable components. The proposed approach provides a clear description of the structure and enables the generation of a stiffened plate structure with clear stiffener distribution and smooth geometric boundary.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2023)
