Article
Computer Science, Interdisciplinary Applications
Tongxing Zuo, Chong Wang, Haitao Han, Qianglong Wang, Zhenyu Liu
Summary: Structural topology optimization often relies on indirect and nonquantitative methods, which can make the optimization process complex. This paper proposes a topological control method based on SIMP and MMA, which allows for direct unilateral constraint over the maximum number of structural holes. This method proves to be effective in handling complex problems.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Software Engineering
Tongxing Zuo, Haitao Han, Zhenyu Liu
Summary: This paper proposes a method for quantitative control of the tunnels and cavities of a 3D structure in topology optimization design. By calculating the characteristic information of the tunnels and cavities and establishing relationships between the element design variables and the number of tunnels and cavities, the method achieves unilateral constraints over the tunnels and cavities.
COMPUTER-AIDED DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
Xuan Wang, Hongliang Liu, Zhan Kang, Kai Long, Zeng Meng
Summary: This study tackles the minimum stress design problem in continuum structures with movable holes for the first time, proposing an effective hybrid methodology that optimizes material density and geometric parameters as design variables. By mapping embedded holes to a density field and introducing a new material interpolation scheme, the optimization model successfully minimizes stress in the system.
COMPUTERS & STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Martin Noack, Arnold Kuhhorn, Markus Kober, Matthias Firl
Summary: This paper presents a new finite element-based stress-related topology optimization approach for finding bending governed flexible designs. Elements are evaluated based on their stress state using principal stresses at Gauss points, preferring those experiencing bending or shear load over membrane stresses. The developed sensitivity-based algorithm successfully finds usable flexible design concepts with nearly discrete 0-1 density distribution in academic examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Chao Wang, E. L. Zhou, Yi Wu, Eric Li, Y. Y. Huang
Summary: We study topology optimization of elastodynamic structures under impact loading with transient stress constraints. Instead of using time-dependent prescribed traction force, we model the impact problem by applying a prescribed loading rate directly on the boundary over time. This approach enables us to optimize the impacted structures with strong acyclic and transient characteristics. We minimize the volume fraction of the structure while constraining the maximum transient von Mises stress. The effectiveness of the proposed method is demonstrated through benchmark problems, and the importance of considering transient behavior in the topology optimization of impacted structures is highlighted by the evolution of the maximum stress.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Multidisciplinary
Hao Deng, Praveen S. Vulimiri, Albert C. To
Summary: This paper presents an efficient and compact MATLAB code for three-dimensional stress-based sensitivity analysis, including finite element analysis and p-norm stress sensitivity analysis. The effectiveness of the sensitivity analysis code is demonstrated through verification of the correctness of the analytical sensitivity.
OPTIMIZATION AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Elnaz Hadjiloo, Stefanie Knutz, Juergen Grabe
Summary: This article presents the use of the TOSS algorithm for the design of a strip foundation, optimizing its deformation behavior and stress distribution. The algorithm shows great potential for material savings and reducing CO2 emissions. The method also has the positive effect of reducing stress peaks and improving the durability of the foundation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Ce Liu, Baotong Li, Zhenhong Chai, Qingfang Liu, Qi Lu, Jian Deng, Jun Hong
Summary: In this article, a design problem of flow distribution structure in nuclear reactor pressure vessel is addressed within the meshless topology optimization framework. A novel meshless particle method, NURBS-based particle hydrodynamics (NBPH) method, is proposed and a meshless CFD computational model based on NBPH is presented. The results show that the proposed method can achieve high accuracy and computational efficiency. A unique NBPH-TO structure design platform is constructed by coupling the NBPH method with the solid isotropic material with penalization (SIMP) method, and its effectiveness and robustness are demonstrated through two design cases with opposite flow distribution objectives. This research provides a viable solution and tool for designing structures within nuclear reactor pressure vessels.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Benliang Zhu, Xianmin Zhang, Hai Li, Junwen Liang, Rixin Wang, Hao Li, Shinji Nishiwaki
Summary: The study introduces an 89-line code for nonlinear topology optimization, utilizing the SIMP method and FreeFEM. With only 76 lines needed for initialization, analysis, sensitivity calculation, and variable update, the program can solve various design problems by modifying a few lines.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Multidisciplinary
Shuzhi Xu, Jikai Liu, Bin Zou, Quhao Li, Yongsheng Ma
Summary: A novel solution to the stress-constrained multi-material topology optimization (SMMTO) problem is proposed based on the ordered SIMP method. The approach utilizes a new interpolation function and scaling of stress measure to effectively address the SMMTO problem.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Shuai Li, Yongcun Zhang, Shutian Liu, Shuhao Wu
Summary: This study presents a topology optimization method for thermoelastic structures under transient thermal loads, considering thermal stress constraints. The method can realize accurate optimization and effective stress control of transient thermoelastic structures. The temperature field and elastic responses are obtained by solving the transient thermal conductive equations and thermoelastic equations. The adjoint method is used to derive the sensitivity expressions. Three numerical examples are provided to illustrate the effectiveness and necessity of the proposed method. The results show that the adopted design method needs to accurately reflect the influence of transient effects on the structural response, which can be achieved by the method proposed in this paper.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Thanh T. Banh, Qui X. Lieu, Joowon Kang, Youngkyu Ju, Soomi Shin, Dongkyu Lee
Summary: Considering stress and stability factors is crucial in topology optimization. This study presents an efficient stress-based structural stability approach for multiple materials. The method utilizes the SIMP method and interpolated material tensors to describe the layout of the multimaterial structure. An adaptive continuation method is developed for stability constraints and to determine penalization parameter values. The proposed approach effectively considers both stress and stability factors, leading to better designs in topology optimization problems involving multiple materials.
ENGINEERING WITH COMPUTERS
(2023)
Article
Engineering, Civil
Subhajit Sanfui, Deepak Sharma
Summary: This paper presents a new mesh reduction strategy on GPU to reduce the computational complexity of conventional structural topology optimization. The strategy reduces the number of design variables by using active nodes and elements in the finite element mesh. A novel mesh numbering scheme and a GPU-based algorithm are introduced for parallel identification of active nodes. Results show up to 8x speedup over standard GPU implementation.
Article
Chemistry, Multidisciplinary
Helio Luiz Simonetti, Valerio S. Almeida, Francisco de Assis das Neves, Virgil Del Duca Almeida, Marlan D. S. Cutrim
Summary: This article investigates the application of evolutionary methods, such as Smoothing Evolutionary Structural Optimization (SESO), Sequential Element Rejection and Admission (SERA), and Evolutionary Structural Optimization (ESO), in the topology optimization of 3D elasticity problems. These methods were implemented in MATLAB code using the eight-node hexahedral finite element formulation in three-dimensional elastostatic structures. Numerical examples were used to demonstrate the effectiveness of these methods in minimizing compliance. Additionally, a brief study on flexible mechanisms was conducted to highlight the impact of mechanical and geometrical advantages on the performance of compliant mechanisms, which is the main focus of this article. The proposed methods were compared with Solid Isotropic Material with Penalization (SIMP) models to showcase their advantages.
APPLIED SCIENCES-BASEL
(2023)
Article
Computer Science, Interdisciplinary Applications
Meral Tuna, Patrizia Trovalusci
Summary: The main objective of this work is to extend finite element-based topology optimization problem to two-dimensional, size-dependent structures described using weakly non-local Cosserat and strongly non-local Eringen theories. Optimum material layouts are achieved using Solid Isotropic Material with Penalization approach, while desired smooth and mesh-independent solutions are obtained using density filter and Heaviside projection method. The algorithms are enhanced with element removal and reintroduction strategy to reduce computational cost and prevent excessive distortion. By validating the code and studying example problems, the influence of internal length scales and different non-locality mechanisms on final configurations is demonstrated. The obtained macro-scale optimum topologies exhibit characteristics of corresponding continuum theories and align with mechanical responses at micro/nanoscale governed by particle interactions.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Anders Klarbring
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2015)
Article
Computer Science, Interdisciplinary Applications
Erik Holmberg, Carl-Johan Thore, Anders Klarbring
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2015)
Article
Mathematics, Applied
Anders Klarbring, Bo Torstenfelt, Ganarupan Satha
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2015)
Article
Mechanics
Stefan B. Lindstrom, Jonas Stalhand, Anders Klarbring
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2017)
Article
Mechanics
A. Klarbring, J. R. Barber, A. Spagnoli, M. Terzano
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2017)
Article
Computer Science, Interdisciplinary Applications
Anders Klarbring, Bo Torstenfelt, Peter Hansbo, Mats G. Larson
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2017)
Article
Computer Science, Interdisciplinary Applications
A. Klarbring, B. Torstenfelt, U. Edlund, P. Schmidt, K. Simonsson, H. Ansell
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2018)
Article
Biophysics
Ganarupan Satha, Stefan B. Lindstrom, Anders Klarbring
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2014)
Article
Biophysics
Stefan B. Lindstrom, Ganarupan Satha, Anders Klarbring
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2015)
Article
Computer Science, Interdisciplinary Applications
C. -J. Thore, H. Alm Grundstrom, B. Torstenfelt, A. Klarbring
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2019)
Article
Engineering, Multidisciplinary
Carl-Johan Thore, Henrik Alm Grundstrom, Anders Klarbring
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2020)
Article
Computer Science, Interdisciplinary Applications
Shyam Suresh, Carl-Johan Thore, Bo Torstenfelt, Anders Klarbring
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2020)
Review
Mechanics
Young Ju Ahn, Anders Klarbring, Andrea Spagnoli, Michele Terzano
Summary: This paper discusses the validity of the frictional shakedown theory in contacts with Coulomb friction, reviews an optimization method for determining the shakedown limit of elastic discrete three-dimensional systems, and introduces an extended incremental Gauss-Seidel algorithm for analyzing normal-tangential coupled systems under cyclic loading scenarios.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Carl -Johan Thore, Jonas Lundgren, Jan-Erik Lundgren, Anders Klarbring
Summary: This study presents a new formulation for topology optimization problem in the context of conjugate heat transfer, aiming to minimize the temperature while satisfying mass flow constraints. Numerical examples based on a gas turbine part design case demonstrate that the proposed problem formulation can lead to designs that are useful from an engineering perspective.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Carl-Johan Thore, Erik Holmberg, Anders Klarbring
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2017)