Accelerating large-scale topology optimization: state-of-the-art and challenges

S Mukherjee, D Lu, B Raghavan, P Breitkopf… - … Methods in Engineering, 2021 - Springer
Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …

A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D

F Ferrari, O Sigmund - Structural and Multidisciplinary Optimization, 2020 - Springer
Compact and efficient Matlab implementations of compliance topology optimization (TO) for
2D and 3D continua are given, consisting of 99 and 125 lines respectively. On …

A new three-level mesh method to accelerate the structural topology optimization

Y Wang, W Zheng, Y Zheng, D Da - Applied Mathematical Modelling, 2022 - Elsevier
To accelerate the structural topology optimization, this paper proposes an adaptive three-
level mesh method (ATMM) to reduce the computational costs without loss of accuracy. The …

Scalable deep-learning-accelerated topology optimization for additively manufactured materials

S Bi, J Zhang, G Zhang - arXiv preprint arXiv:2011.14177, 2020 - arxiv.org
Topology optimization (TO) is a popular and powerful computational approach for designing
novel structures, materials, and devices. Two computational challenges have limited the …

Adaptive Variable Design Algorithm for Improving Topology Optimization in Additive Manufacturing Guided Design

A Vadillo Morillas, J Meneses Alonso… - Inventions, 2024 - mdpi.com
CAD-CAE software companies have introduced numerous tools aimed at facilitating
topology optimization through Finite Element Simulation, thereby enhancing accessibility for …

A cascadic multilevel optimization framework for the concurrent design of the fiber-reinforced composite structure through the NURBS surface

H Ding, B Xu, Z Duan, W Li, X Huang - Engineering with Computers, 2023 - Springer
This paper proposes a novel cascadic multilevel optimization framework for the fiber-
reinforced composite structure, inspired by the character of the non-uniform rational basis …

A density-based topology optimization method using radial basis function and its design variable reduction

S Shi, P Zhou, Z Lü - Structural and Multidisciplinary Optimization, 2021 - Springer
This article aims to present a novel topological design approach, which is inspired by the
famous density method and parametric level set method, to control the structural complexity …

Inertial projected gradient method for large-scale topology optimization

A Nishioka, Y Kanno - Japan Journal of Industrial and Applied …, 2023 - Springer
We present an inertial projected gradient method for solving large-scale topology
optimization problems. We consider the compliance minimization problem, the heat …

Topology optimization based on improved DoubleU-Net using four boundary condition datasets

S Li, PJ Zeng, N Lin, M Lu, J Lin… - Engineering Optimization, 2024 - Taylor & Francis
Topology optimization is extensively employed in engineering design. However, applying
deep learning to solve topology optimization problems faces challenges owing to limited …

Energy analysis of continuum elastic structures by the generalized finite-volume theory

MVO Araujo, EN Lages, MAA Cavalcante - Acta Mechanica, 2021 - Springer
The finite-volume theory is an equilibrium-based approach characterized by the equilibrium
equations' local satisfaction and the imposition of continuity conditions in a surface …