Article
Engineering, Multidisciplinary
Zicheng Zhuang, Yi Min Xie, Qing Li, Shiwei Zhou
Summary: A body-fitted triangular/tetrahedral mesh generation algorithm is developed to generate smooth boundaries in the bi-directional evolutionary structural optimization (BESO) method. The optimization problem is regularized by adding a diffusion term in the objective function. Numerical examples show that the proposed method converges quickly and achieves natural smooth boundaries.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Majid Movahedi Rad, Muayad Habashneh, Janos Logo
Summary: This paper presents a new computational technique for reliability-based design considering the effect of geometrically and materially nonlinear imperfect analysis. A bidirectional evolutionary structural optimization scheme is developed, and a comparison is made between perfect and imperfect nonlinear analysis topology optimization designs. The proposed method successfully finds the optimal topology for reliability-based design using both perfect and imperfect nonlinear analysis.
COMPUTERS & STRUCTURES
(2023)
Article
Multidisciplinary Sciences
Muayad Habashneh, Majid Movahedi Rad
Summary: This paper presents a method of integrating reliability-based analysis into topology optimization problems, and applies it to the optimization of geometrically nonlinear elasto-plastic models. The effects of changing the total structural volume constraint and the reliability index are considered. The bi-directional evolutionary structural optimization method is used to study the effect of geometrically nonlinear elasto-plastic design.
SCIENTIFIC REPORTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Bin Xu, Yongsheng Han, Lei Zhao
Summary: This paper extends current concepts of topology optimization to the design of structures made of nonlinear materials by proposing an extended BESO method. The method effectively avoids singularity problems in density-based methods and improves convergence through sensitivity and topological variable filters. The effectiveness of the proposed method is demonstrated through several 2D benchmark design problems.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Artificial Intelligence
Jan-Hendrik Bastek, Dennis M. Kochmann
Summary: In this study, video diffusion generative models are used to predict and tune the nonlinear deformation and stress response of periodic stochastic cellular structures, including buckling and contact, which greatly simplifies and accelerates the identification of complex material properties.
NATURE MACHINE INTELLIGENCE
(2023)
Article
Mathematics, Interdisciplinary Applications
Philipp Junker, Daniel Balzani
Summary: This novel approach to topology optimization based on thermodynamic extremal principles offers advantages in terms of applicability to various hyperelastic material formulations, analytical fulfillment of important constraints, and flexibility in numerical procedures for optimization problem-solving.
COMPUTATIONAL MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Yongsheng Han, Bin Xu, Zunyi Duan, Xiaodong Huang
Summary: This paper proposes a new methodology for structural topology optimization that takes into account non-linear continuum damage for stress minimization design. A quasi-static non-local damage model is integrated into a linear finite element analysis to model the structural damage, and the Bi-directional Evolutionary Structural Optimization (BESO) method is used to address singularity issues. The effectiveness of the proposed method is demonstrated through numerical tests and comparison with stiffness maximization design.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Xudong Jiang, Jiaqi Ma, Xiaoyan Teng
Summary: This article introduces a modified bi-directional evolutionary structural optimization (BESO) method for solving multi-objective topology optimization problems. By using variable evolutionary volume ratio (EVR) and a weighting scheme of sensitivity numbers, a balance between natural frequency and dynamic stiffness can be achieved, leading to optimal solutions. Numerical examples demonstrate the effectiveness of this method.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2023)
Article
Computer Science, Interdisciplinary Applications
Yongsheng Han, Bin Xu, Yuanhao Liu
Summary: Topology optimization is widely used in academia and industry, with many computer programs published for educational purposes. This study presents a MATLAB implementation of geometrically nonlinear topology optimization code, requiring a minimal number of lines for key steps such as design parameter initialization and sensitivity calculation.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Civil
Majid Movahedi Rad, Muayad Habashneh, Janos Logo
Summary: This paper presents a reliability-based geometrically nonlinear topology optimization method, calculating the probability of failure and reliability index through Monte-Carlo simulation, and considering the impact of geometrically nonlinear design using the bi-directional evolutionary structural optimization (BESO) method.
Article
Engineering, Mechanical
D. Chen, H. Wu, Q. Fang, J. Wei, S. L. Xu
Summary: This study investigates the hyperelastic and viscoelastic behaviors of spray polyurea (SPUA) and its application in numerical simulations under impact and blast loadings. A nonlinear viscohyperelastic constitutive model is established and validated, and a simplified rubber/foam model is selected to describe the mechanical behavior of SPUA. The study provides a helpful reference for the design and evaluation of SPUA retrofitted structures.
INTERNATIONAL JOURNAL OF IMPACT ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Matthias Rettl, Martin Pletz, Clara Schuecker
Summary: This paper evaluates both commonly used optimization algorithms and algorithms not yet used in topology optimization for highly nonlinear structural problems. By evaluating a simple nonlinear problem, it is found that TBFSL is the most efficient approach, and it can be combined with a multi-grid approach for optimization on a finer mesh grid to further increase efficiency.
MATERIALS & DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
D. C. Goncalves, J. D. F. Lopes, R. D. S. G. Campilho, J. Belinha
Summary: Topology optimization is a powerful computational tool for designing lightweight components in the additive manufacturing industry. While the Finite Element Method (FEM) is commonly used, this study explores the application of meshless methods in topology optimization. The combination of a bi-directional structural optimization algorithm and the Natural Neighbour Radial Point Interpolation Method (NNRPIM) is proposed and successfully implemented in the design of automotive lightweight components. This approach provides a solid technique for optimization algorithms and offers innovative design possibilities for additive manufacturing in the automotive industry.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Engineering, Mechanical
Jiaqi Huang, Shuzhi Xu, Yongsheng Ma, Jikai Liu
Summary: This paper explores the topological design method of porous infill structures under large deformation using the neo-Hookean hyperelasticity model and P-norm method for global expression. The effectiveness of the proposed method is validated through several benchmark cases.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2022)
Article
Computer Science, Artificial Intelligence
John Pillans
Summary: Design automation involves a trade-off between using expert knowledge to restrict possible solutions or spending time searching through solutions. This paper introduces an evolutionary search method for finding circuit topologies and component values, showing its effectiveness in simple problems and comparing the efficiency of different evolutionary search techniques. The proposed hybrid evolutionary method is found to be more efficient under certain conditions.
EXPERT SYSTEMS WITH APPLICATIONS
(2021)
Article
Engineering, Multidisciplinary
Zeyu Zhang, Yu Li, Weien Zhou, Xiaoqian Chen, Wen Yao, Yong Zhao
Summary: The paper introduces a method for topology optimization using neural networks, the TONR framework, which allows flexible design variable updates and sensitivity analysis. With this approach, optimized structures for different optimization problems can be obtained stably without the need to construct a dataset beforehand.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Zeyu Zhang, Wen Yao, Yu Li, Weien Zhou, Xiaoqian Chen
Summary: With the rapid development of artificial intelligence (AI) technology, scientific research has entered a new era of AI. The cross development between topology optimization (TO) and AI technology has been receiving continuous attention. This paper introduces the concept of Implicit Neural Representations from AI into the TO field and establishes a novel TO framework called TOINR.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Thermodynamics
Xianqi Chen, Wen Yao, Weien Zhou, Zeyu Zhang, Yu Li
Summary: In this work, a general and differentiable heat source layout optimization framework based on parameterized level set functions is proposed. The framework incorporates Heaviside projection for an analytical description of the heat source intensity function and automatic differentiation technique for sensitivity analysis. An adaptive multiresolution FEA method is introduced to eliminate gradient oscillations caused by finite element discretization. Numerical experiments demonstrate the positive effects of the adaptive multiresolution strategy and the effectiveness of the proposed approach in heat conduction problems.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2023)
Article
Engineering, Multidisciplinary
Jiaxiang Luo, Yu Li, Weien Zhou, Zhiqiang Gong, Zeyu Zhang, Wen Yao
Summary: An improved deep learning model is proposed in this study, which learns the physical laws of topology optimization through a feature pyramid network, integrating pixel-wise errors and physical constraints. By adjusting the time when physical constraints are added, the balance between training cost and effect is achieved, ultimately verifying the effectiveness of the method.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2021)