Article
Computer Science, Interdisciplinary Applications
Niels Aage, Reinier Giele, Casper Schousboe Andreasen
Summary: This work introduces an efficient approach for controlling length scale in high-resolution three-dimensional level set-based topology optimization, utilizing a contrast parameter-based cut element method to ensure a crisp interface representation on fixed background hexahedral meshes. The capabilities of this approach are demonstrated through numerical examples using more than 62 million hexahedral elements.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Jorge L. Barrera, Markus J. Geiss, Kurt Maute
Summary: The level set topology optimization approach utilizes an auxiliary density field to nucleate holes and achieve minimum feature size control. The method involves governing two sets of independent optimization variables, gradually increasing density field penalization and projection during the optimization process to promote a 0-1 density distribution, and regulating the evolution of the density field in the void phase.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Pedro G. Coelho, Bruno C. Barroca, Fabio M. Conde, Jose M. Guedes
Summary: Strength-oriented optimization of porous periodic microstructures has a significant impact on the design of load-bearing lightweight structures to avoid mechanical failure. The study shows that minimizing the peak von-Mises stress through shape or topology design changes can effectively reduce stresses in different load scenarios, demonstrating the importance of material design freedom in achieving lower peak stresses.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Chi Wu, Jianguang Fang, Shiwei Zhou, Zhongpu Zhang, Guangyong Sun, Grant P. Steven, Qing Li
Summary: The paper incorporates a phase-field damage model into the topology optimization framework to account for crack initiation and propagation in a path-dependent manner. The proposed approach enhances fracture resistance of structures made of brittle materials and introduces a path-dependent shape derivative to drive the optimization effectively. Three 2D benchmark examples and one 3D biomedical example are studied to demonstrate the effectiveness of the method in improving fracture resistance with more efficient use of materials and reducing stress concentration and fracture risks.
COMPUTERS & STRUCTURES
(2021)
Article
Mechanics
Hui Liu, Lianxiong Chen, Tielin Shi, Qi Xia
Summary: In this paper, a novel approach is developed for optimizing the layout and shape of stiffeners based on the Mindlin plate theory. The layout and shape of stiffeners can be controlled by adjusting the design variables, and the coordinate mapping technique and high-order polynomial interpolation technique allow for more complex geometries. Numerical examples demonstrate the effectiveness of the proposed approach.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Haoju Lin, Hui Liu, Peng Wei
Summary: This work proposes a parallel parameterized level set topology optimization framework for large-scale structures with unstructured meshes, which addresses the adaptability to structures with arbitrary geometries and complex boundary conditions. The framework combines distributed memory parallel computing technology and parameterized level set topology optimization using unstructured meshes. Several means, including shape functions, directed acyclic graph data structure, direct imposition of passive domain and boundary conditions on geometry entities, and multiple averaging filter, are utilized. Computing tests demonstrate the stability, efficiency, scalability, and potential for discovering new structure styles of the framework.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Giovanna C. Andrade, Sandra A. Santos
Summary: This paper presents a level-set-based strategy for minimizing structural compliance, using radial basis functions with compact support and Hilbertian velocity extensions. An augmented Lagrangian scheme is adopted to handle volume constraint, and the finite element method is used to solve the linear elasticity model and the variational problem associated with the velocity field computation.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Computer Science, Interdisciplinary Applications
Matteo Pozzi, Giacomo Bonaccorsi, Francesco Braghin
Summary: In this study, we demonstrate the application of eigenfrequency optimization in the field of structural dynamics to minimize the variance of natural frequencies caused by external temperature uncertainties. We utilize a level-set optimization algorithm known for its computational efficiency and ability to define crisp interfaces.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Hui Liu, Peng Wei, Michael Yu Wang
Summary: This paper proposes an adaptive parameterized level set topology optimization method (APLSM) using a bilinear basis function and applies CPU parallel computing strategy. The method avoids solving an additional linear system and improves computational efficiency. It can also design structures with high geometric complexity and has been verified effective in 2D and 3D problems.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Thermodynamics
Sandilya Kambampati, Justin S. Gray, H. Alicia Kim
Summary: This study presents the optimal design of load carrying battery packs with heat exchange capabilities using a multi-objective optimization approach. The efficiency of the optimized designs is demonstrated through numerical examples by showcasing their multifunctional nature of reducing battery cell temperatures while sustaining a given load.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Computer Science, Software Engineering
Aaditya Chandrasekhar, Krishnan Suresh
Summary: In this paper, an approximate length scale filter strategy for topology optimization (TO) is proposed by extending a density-based TO formulation using neural networks (TOuNN). The proposed method enhances TOuNN with a Fourier space projection to approximately control the minimum and/or maximum length scales. The method does not involve additional constraints and automates sensitivity computations using the neural net's library.
COMPUTER-AIDED DESIGN
(2022)
Article
Computer Science, Interdisciplinary Applications
Ali Azari Nejat, Alexander Held, Niklas Trekel, Robert Seifried
Summary: This study proposes an efficient and stable topology optimization algorithm for slender structures by modifying the pseudo-time step size and Lagrange multiplier to replace unacceptable designs, adjusting the normal velocity formulation to avoid instabilities, and adding filtering-like adaptation terms to achieve smoother optimization convergence.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Mechanical
Zhuo Huang, Ye Tian, Kang Yang, Tielin Shi, Qi Xia
Summary: A shape and generalized topology optimization method based on the level set-based density method is proposed for designing curved grid stiffeners. The method combines level set functions and basis functions to describe the overall layout and curvilinear path of the stiffeners, and uses interval projection to describe the width. The combination operation similar to Boolean operation union is achieved using the p-norm method. The proposed method is validated through numerical examples, demonstrating its effectiveness in changing the shape and topology of stiffeners during optimization.
JOURNAL OF MECHANICAL DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
Brian S. Cohen, Andrew March, Karen E. Willcox, David W. Miller
Summary: This paper introduces a level-set based topology optimization approach for designing thermally efficient radiating structures. The authors derive the shape sensitivity using the adjoint method and apply gradient-based algorithm and augmented Lagrangian method to solve the problem of maximizing heat power. A case study demonstrates that maximizing the thermal compliance functional is insufficient for solving this type of problem.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Mechanics
Jiantao Bai, Wenjie Zuo
Summary: This article proposes a level set topology optimization method to design coated structures with multiple infill materials. The method constructs a multi-material interpolation model by combining multiple level set functions and derives shape derivatives for the multi-material optimization model of the coated structures for the first time.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
