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We propose a novel penalty method framework for the non-self-adjoint topology optimization problems, taking compliant mechanism problems as an example, by incorporating a convex nonlocal perimeter approximation scheme. We rigorously analyze…

最优化与控制 · 数学 2026-03-03 Wei Gong , Yuanda Ye

Topology optimization enables the design of highly efficient and complex structures, but conventional iterative methods, such as SIMP-based approaches, often suffer from high computational costs and sensitivity to initial conditions.…

计算工程、金融与科学 · 计算机科学 2025-09-18 Aaron Lutheran , Srijan Das , Alireza Tabarraei

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

计算工程、金融与科学 · 计算机科学 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

We propose an efficient probabilistic method to solve a deterministic problem -- we present a randomized optimization approach that drastically reduces the enormous computational cost of optimizing designs under many load cases for both…

最优化与控制 · 数学 2017-10-11 Xiaojia Zhang , Eric de Sturler , Glaucio H. Paulino

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, specially for high Reynolds fluid flow. This paper devises an explicit boundary method that employs…

We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal design constraints. Such constraints arise naturally in this…

数值分析 · 数学 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

This paper presents a density-based topology optimization method for designing three-dimensional (3D) compliant mechanisms and loadbearing structures with design-dependent pressure loading. Instead of interface-tracking techniques, the…

计算工程、金融与科学 · 计算机科学 2021-06-22 Prabhat Kumar , Matthijs Langelaar

Topology optimization is computationally demanding that requires the assembly and solution to a finite element problem for each material distribution hypothesis. As a complementary alternative to the traditional physics-based topology…

机器学习 · 计算机科学 2018-08-23 Saurabh Banga , Harsh Gehani , Sanket Bhilare , Sagar Patel , Levent Kara

The topology transition problem of transmission networks is becoming increasingly crucial with topological flexibility more widely leveraged to promote high renewable penetration. This paper proposes a novel methodology to address this…

系统与控制 · 电气工程与系统科学 2022-09-20 Tong Han , Yue Song , David J. Hill

Topology optimization is used to systematically design contact-aided thermo-mechanical regulators, i.e. components whose effective thermal conductivity is tunable by mechanical deformation and contact. The thermo-mechanical interactions are…

计算工程、金融与科学 · 计算机科学 2024-06-04 Anna Dalklint , Joe Alexandersen , Andreas Henrik Frederiksen , Konstantinos Poulios , Ole Sigmund

Strong adhesives rely on reduced stress concentrations, often obtained via specific geometry or composition of materials. In many examples in nature and engineering prototypes, the adhesive performance relies on structural rigidity being…

材料科学 · 物理学 2023-08-16 Zhiyuan Tong , Farid H. Benvidi , Mattia Bacca

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The…

最优化与控制 · 数学 2025-07-01 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

The level-set method of topology optimization is used to design isotropic two-phase periodic multifunctional composites in three dimensions. One phase is stiff and insulating whereas the other is conductive and mechanically compliant. The…

材料科学 · 物理学 2007-12-20 V. J. Challis , A. P. Roberts , A. H. Wilkins

Efficient optimization of topology and raster angle has shown unprecedented enhancements in the mechanical properties of 3D printed materials. Topology optimization helps reduce the waste of raw material in the fabrication of 3D printed…

图形学 · 计算机科学 2022-06-08 Ahmed Moter , Mohamed Abdelhamid , Aleksander Czekanski

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

数值分析 · 数学 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

This work presents a diffusion transformer framework for data-driven structural topology optimization that combines the accuracy of physics-based methods with the efficiency of generative deep learning. Conventional approaches such as the…

计算工程、金融与科学 · 计算机科学 2026-05-05 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

计算工程、金融与科学 · 计算机科学 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

机器学习 · 计算机科学 2023-03-20 Giorgio Giannone , Faez Ahmed

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

计算工程、金融与科学 · 计算机科学 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei