Article
Computer Science, Interdisciplinary Applications
Chao Wang, Bin Xu, Zunyi Duan, Jianhua Rong
Summary: This work proposes a robust and efficient approach to structural topology optimization considering manufacturable connectivity and manufacturing uncertainties. The proposal includes a rational inclusion of the Poisson equation-based potential constraint for manufacturable connectivity in three projected fields, which helps achieve manufacturable designs with reliable performance. Furthermore, the paper develops an effective potential constraint strategy and provides an applicable solving scheme to reduce computational cost and address numerical difficulties.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Matteo Pozzi, Giacomo Bonaccorsi, Hyunsun Alicia Kim, Francesco Braghin
Summary: Most manufacturing processes have process tolerances that affect component behavior and compliance with design requirements. This study presents a simple approach for conducting robust structural topology optimization in the presence of manufacturing uncertainties. It uses a computationally efficient boundary-perturbation technique to describe etching errors and does not require frequent re-initialization or mapping between etched and nominal structures. Additionally, it allows for dealing with spatially varying errors without increasing computational cost.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Manufacturing
Yunfeng Luo, Ole Sigmund, Quhao Li, Shutian Liu
Summary: This paper proposes a novel topology optimization procedure for structures designed for additive manufacturing, where enclosed voids are filled with porous materials for support and cannot be removed. The procedure automatically determines whether to eliminate enclosed voids or use infill to support them, effectively addressing a challenging problem in structure design. Experimental examples demonstrate the effectiveness of the procedure in optimizing layouts and enhancing performance.
ADDITIVE MANUFACTURING
(2022)
Article
Engineering, Multidisciplinary
Hollis Smith, Julian A. Norato
Summary: A novel topology optimization method has been proposed for designing structures made of orthotropic, fiber-reinforced bars to maximize stiffness. The method extends geometry projection to use cylindrical bars reinforced with continuous fibers and ensures optimal material selection at intersection of bars. Numerical examples demonstrate the efficacy of the method in stiffness-based design of frame structures in 2D and 3D.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Mechanics
Weibai Li, Xiaodong Huang
Summary: This paper develops a topology optimization algorithm for lightweight design of structures using multiple cellular materials. The algorithm incorporates the microstructures and homogenized mechanical properties of cellular materials into topology optimization. Numerical examples demonstrate the successful implementation of the algorithm by optimizing the distribution and selection of multiple cellular materials.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2022)
Article
Mechanics
Jingwei Zhang, Jun Yanagimoto
Summary: The paper presents a new concept of combining microlattices with traditional domes to improve mechanical performance through optimizing density distribution, significantly enhancing structural stiffness and energy absorption capability. The study finds that the cell size of microlattice structures affects mechanical properties, with larger cell sizes contributing to improved weight-specific stiffness and energy absorption capability.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Hongjia Lu, Linwei He, Matthew Gilbert, Filippo Gilardi, Jun Ye
Summary: Additive manufacturing (AM) has rapidly developed and offers the potential to fabricate structurally optimized components. The use of truss topology optimization methods has been effective in identifying optimal forms for highly design free components. However, geometric complexity and overhanging elements often require support structures when using traditional 3-axis AM machines. To eliminate the need for support structures, multi-axis AM machines with 5 or more axes can be used. A novel process-aware truss layout optimization strategy tailored for multi-axis AM machines is proposed in this study, which combines curved printing surface identification with truss layout and geometry optimization. The proposed strategies aim to achieve highly material-efficient structures and fully self-supporting structures with minimal material consumption. The effectiveness of the approach is demonstrated through several examples, showing that fully self-supporting optimized structures can be identified without sacrificing structural performance.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Alberto P. Torres, James E. Warner, Miguel A. Aguilo, James K. Guest
Summary: This paper presents an efficient approach for topology optimization under uncertainty using SROMs, which improves efficiency and accuracy over traditional Monte Carlo methods.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
Rossana R. Fernandes, Ali Y. Tamijani
Summary: This paper presents an experimentally validated framework for performing topology and orientation optimization of lattice structures subject to stress constraints. Effective stiffnesses and yield stresses of a unit cell are obtained using numerical homogenization and implemented via macrostructure topology optimization to improve lattice structure stiffness.
MATERIALS & DESIGN
(2021)
Article
Engineering, Multidisciplinary
Jing Zheng, Shaonan Ding, Chao Jiang, Zhonghua Wang
Summary: This study discusses a concurrent topology optimization method for thermoelastic structures with random and interval hybrid uncertainties, proposing a robust approach to evaluate structure performance. Through sensitivity analysis and numerical validation, the effectiveness and high accuracy of the proposed method are demonstrated.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Ruiliang Feng, Xianda Li, Lin Zhu, Atul Thakur, Xiangzhi Wei
Summary: Extrusion-Based Additive Manufacturing is widely used, but the need for supports contributes to material waste. This study proposes a two-level support structure to save support materials, with optimized shapes and topologies, leading to significant material and time savings. Validation experiments on benchmark models confirmed the effectiveness of the developed approach.
ROBOTICS AND COMPUTER-INTEGRATED MANUFACTURING
(2021)
Article
Engineering, Manufacturing
Minghao Bi, Phuong Tran, Lingwei Xia, Guowei Ma, Yi Min Xie
Summary: This paper addresses the manufacturing constraints of 3D concrete printing (3DCP) within the framework of bi-directional evolutionary structural optimization (BESO) to integrate it with topology optimization (TO). Various methods, such as layer-wise sensitivity scheme, continuous extrusion constraint, anisotropic simulation, and domain segmentation, are proposed to achieve self-supporting designs, continuous printing operation, and modular construction.
ADDITIVE MANUFACTURING
(2022)
Article
Computer Science, Interdisciplinary Applications
Jackson L. Jewett, Josephine V. Carstensen
Summary: This paper presents a new topology optimization approach that considers the fabrication characteristics and constraints of extrusion-based additive manufacturing (AM). Through mimicking the fabrication process and introducing a fixed radius feature size, the design results promote the continuity of design features and account for weak bead bonds. The algorithm is demonstrated on benchmark problems and the design results respond to user specifications on bead size and relative bond weakening.
COMPUTERS & STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Van-Nam Hoang, Trung Pham, Sawekchai Tangaramvong, Stephane P. A. Bordas, H. Nguyen-Xuan
Summary: This paper presents a novel robust concurrent topology optimization method for the design of uniform/non-uniform porous infills under the accidental change of loads. The method directly models multiscale structures and seeks robust designs by simultaneously optimizing macro- and microscopic structures through the minimization of the weighted sum of the expected compliance and standard deviation.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Thermodynamics
Musaddiq Al Ali, Masatoshi Shimoda
Summary: This paper investigates the application of multiscale topology optimization for lightweight and high heat conductive solid structures. A mathematical optimization model is introduced to concurrently optimize the macrostructure and micro-structure, and a sensitivity analysis is derived to address their coupling. The study compares three topology optimization methods and demonstrates the advantages of introducing various microstructures for weight reduction and performance improvement.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2022)
Article
Engineering, Multidisciplinary
Tobias Barbier, Emad Shakour, Ole Sigmund, Geert Lombaert, Mattias Schevenels
Summary: The article presents a novel strategy for structural topology optimization considering damage, with two different optimization strategies: fully nonlinear and simplified. The simplified strategy, while less accurate than nonlinear models, shows similar optimized topologies and structural efficiency, with a significant improvement in computation time.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Mechanics
Bastian Telgen, Ole Sigmund, Dennis M. Kochmann
Summary: In this paper, a computational framework for topology optimization of spatially varying cellular structures is introduced and applied to functionally graded truss lattices under quasistatic loading. The method utilizes a first-order homogenization approach and employs finite elements to handle the effective continuum description of the truss. The optimization problem is formulated with respect to the spatially varying basis vectors, and its feasibility and performance are demonstrated through benchmark problems.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2022)
Article
Chemistry, Multidisciplinary
Fengwen Wang, Marie Brons, Ole Sigmund
Summary: Stretch-dominated truss and plate microstructures are competing in the development of highly rigid and strong architected materials. Although closed-cell isotropic plate microstructures meet theoretical upper bounds on stiffness, they have low buckling strength, whereas open-cell truss microstructures have high buckling strength but reduced stiffness. Hollow truss lattice and hierarchical microstructures outperform both in terms of buckling strength, but are challenging to build. In this study, single-scale non-hierarchical microstructures are designed, built, and tested, surpassing the buckling strength of hollow truss lattice and plate microstructures. The microstructures are realized with 3D printing and both experiments and numerical modeling validate the theoretical predictions.
ADVANCED FUNCTIONAL MATERIALS
(2023)
Article
Optics
Rasmus E. Christiansen, Philip Trost Kristensen, Jesper Mork, Ole Sigmund
Summary: Using topology optimization, compact wavelength-sized devices are designed to study the effect of optimizing geometries for enhancing different optical processes. The findings show that different field distributions lead to maximization of different processes, emphasizing the importance of targeting the appropriate metric when designing photonic components for optimal performance.
Article
Engineering, Multidisciplinary
Yafeng Wang, Ole Sigmund
Summary: This study aims to optimize the buckling capacity of mechanical structures subjected to thermal and mechanical loading through a density-based topology optimization scheme. By decoupling the effects of mechanical and thermal loadings, the buckling aspects induced by each loading can be separately analyzed and optimized. The study also employs a multi-material topology optimization scheme to optimize the buckling capacity of active structures and prestressed structures.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Erik A. Traff, Anton Rydahl, Sven Karlsson, Ole Sigmund, Niels Aage
Summary: This work presents three-dimensional linear elastic compliance minimisation using topology optimisation implementations accelerated by Graphics Processing Units (GPUs). Two GPU-accelerated implementations, based on OpenMP 4.5 and the Futhark language, are presented. Both implementations utilize high level GPU frameworks, avoiding the need for expertise knowledge of CUDA or OpenCL. Additionally, a vectorised and multi-threaded CPU code is included for reference. The results show that the GPU accelerated codes are able to solve large-scale topology optimisation problems faster than the reference CPU code, and they can also handle nonlinear problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Christoffer Fyllgraf Christensen, Fengwen Wang, Ole Sigmund
Summary: Topology optimization has been used for maximizing stiffness or minimizing compliance in multiscale structures. This study focuses on optimizing buckling stability of multiscale structures with isotropic porous infill, by considering both local and global instability.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Federico Ferrari, Ole Sigmund
Summary: In this study, a strategy is introduced to prevent the occurrence of spurious modes in the spectrum computed by linearized buckling analysis in the context of topology optimization. Spurious buckling modes commonly appear in low density regions, but this study also highlights the occurrence of localized modes in solid areas due to the limitations of linearized buckling analysis. The proposed remedy involves using filtering and erosion operations on the stress field, helping to mitigate the occurrence of spurious modes and improve the optimization process towards high performance designs.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Yufan Lu, Hongjiang Mao, Mingdong Zhou
Summary: This paper presents a systematic design approach of conceptually forming a lightweight electric vehicle (EV) chassis topology integrated with distributed load-bearing batteries. A deformable feature description function is proposed to describe cell features with desirable layouts and dimensions. Multiple cells enclosed by reinforced shells are integrated into a unified battery set using Boolean operation and a gradient-norm method. The proposed approach demonstrates better comprehensive mechanical properties for an EV chassis with distributed various specification batteries compared to a chassis with centralized uniform specification batteries.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Da Geng, Mingdong Zhou
Summary: This paper presents an ad hoc algorithm to control the pressure loss of the optimized flow in cooling channel design. A Darcy flow based topology optimization approach is employed to design 2D cooling channels, which are further translated into 3D cooling plates. Numerical examples show that an optimized 3D cooling channel topology that meets the allowable pressure drop can be obtained efficiently.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Lukas C. Hoghoj, Cian Conlan-Smith, Ole Sigmund, Casper Schousboe Andreasen
Summary: This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are evaluated by the means of a source-doublet panel method for the aerodynamic response and linear elastic finite elements for the structural response, which are one-way coupled. Wings of small fixed-wing airplanes both with and without a stiffening strut are optimized. The resulting wings show internal topologies with struts and wall-truss combinations, depending on the design freedom of the shape optimization. The lift distributions of the optimized wings show patterns like the ones obtained when performing optimization of wing shapes with constraints on the bending moment at the root.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Mathematics, Interdisciplinary Applications
Andreas Henrik Frederiksen, Ole Sigmund, Konstantinos Poulios
Summary: This paper addresses the limitations of incorporating contact in topology optimization and proposes a new method for topology optimization problems with internal contact. The method ensures stability and robustness of the optimized designs by introducing a tangent stiffness requirement and penalizing small features. The examples demonstrate the effectiveness of the method in topology optimization under large deformations.
COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Weichen Li, Yingqi Jia, Fengwen Wang, Ole Sigmund, Xiaojia Shelly Zhang
Summary: This study systematically investigates several precisely programmed nonlinear extreme responses in 3D structures under finite deformations through multimaterial inverse design by topology optimization. Unique complex 3D geometries with deformation capabilities are discovered and utilized to deliver the target responses. The optimized structure is accurately fabricated through a proposed hybrid fabrication method and the design's programmed behavior is validated.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Multidisciplinary Sciences
Felipe Gomez-Lozada, Carlos Andres del Valle, Julian David Jimenez-Paz, Boyan S. Lazarov, Juan Galvis
Summary: In this study, a mathematical model is developed to describe the phenomenon of brinicles. The model is able to capture the general behavior of the physical system, generating structures similar to brinicles and recovering dendrite composition in alignment with previous experimental results.
ROYAL SOCIETY OPEN SCIENCE
(2023)
Article
Engineering, Multidisciplinary
Rebekka Woldseth, J. Andreas Baerentzen, Ole Sigmund
Summary: This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where high-quality single-scale designs can be obtained efficiently without the utilisation of any least-squares problem or pre-trained models. Numerical tests verifies the performance of the proposed methodology compared to state-of-the-art alternatives, and the dehomogenised designs achieve structural performance within a few percentages of the optimised homogenised solution.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
