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Three-dimensional topology optimization (TO) is a powerful technique in engineering design, but readily usable, open-source implementations remain limited within the popular Python scientific environment. This paper introduces PyTopo3D, a…

图形学 · 计算机科学 2025-04-09 Jihoon Kim , Namwoo Kang

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

This article presents a detailed introduction to density-based topology optimisation of fluid flow problems. The goal is to allow new students and researchers to quickly get started in the research area and to skip many of the initial…

计算工程、金融与科学 · 计算机科学 2023-02-03 Joe Alexandersen

This paper presents a 55-line code written in python for 2D and 3D topology optimization (TO) based on the open-source finite element computing software (FEniCS), equipped with various finite element tools and solvers. PETSc is used as the…

数学软件 · 计算机科学 2020-12-16 Abhinav Gupta , Rajib Chowdhury , Anupam Chakrabarti , Timon Rabczuk

In topology optimization, the treatment of stress constraints for very large scale problems has so far not been tractable due to the failure of robust agglomeration methods, i.e. their inability to accurately handle the locality of the…

计算工程、金融与科学 · 计算机科学 2020-12-23 Gustavo Assis da Silva , Niels Aage , André Teófilo Beck , Ole Sigmund

We present a Matlab code for modelling and topology optimization of hyperelastic structures, including contact modelled by the Third Medium Contact (TMC) approach. By using the so-called HuHu-regularization we penalize the skew distortion…

数学软件 · 计算机科学 2026-03-23 Andreas Henrik Frederiksen , Ole Sigmund , Federico Ferrari

This paper studies whether multimodal large language models (LLMs) can serve as inspectable spatial proposal modules for stress-aware topology optimization. IterSIMP-{\sigma} keeps the SIMP optimizer as a compliance-minimizing…

计算工程、金融与科学 · 计算机科学 2026-05-20 Shaoliang Yang , Jun Wang , Yunsheng Wang

In this work, we present an efficiently computational approach for designing material micro-structures by means of topology optimization. The central idea relies on using the isogeometric analysis integrated with the parameterized level set…

计算工程、金融与科学 · 计算机科学 2023-07-19 Chuong Nguyen , Xiaoying Zhuang , Ludovic Chamoin , Hung Nguyen-Xuan , Xianzhong Zhao , Timon Rabczuk

In order to accelerate implementation of hyperelastic materials for finite element analysis, we developed an automatic numerical algorithm that only requires the strain energy function. This saves the effort on analytical derivation and…

计算工程、金融与科学 · 计算机科学 2016-09-20 Yuxiang Wang , Gregory J. Gerling

This paper proposes a methodology to estimate stress in the subsurface by a hybrid method combining finite element modeling and neural networks. This methodology exploits the idea of obtaining a multi-frequency solution in the numerical…

机器学习 · 计算机科学 2020-08-27 Xavier Garcia , Adrian Rodriguez-Herrera

Demands for pneumatic-driven soft robots are constantly rising for various applications. However, they are often designed manually due to the lack of systematic methods. Moreover, design-dependent characteristics of pneumatic actuation pose…

计算工程、金融与科学 · 计算机科学 2024-01-09 Prabhat Kumar

Understanding how the optimal value of an optimisation problem changes when its input data is modified is an old question in mathematical optimisation. This paper investigates the computation of the optimal values of a family of (possibly…

最优化与控制 · 数学 2026-03-02 Guillaume Derval , Damien Ernst , Quentin Louveaux , Bardhyl Miftari

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

计算工程、金融与科学 · 计算机科学 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

In computational engineering, ensuring the integrity and safety of structures in fields such as aerospace and civil engineering relies on accurate stress prediction. However, analytical methods are limited to simple test cases, and…

计算工程、金融与科学 · 计算机科学 2025-10-31 Fabian Key , Lukas Freinberger

Electrical resistivity tomography is a suitable technique for non-invasive monitoring of municipal solid waste landfills, but accurate sensitivity analysis is necessary to evaluate the effectiveness and reliability of geoelectrical…

数值分析 · 数学 2024-09-17 Lorenzo Panzeri , Alessio Fumagalli , Laura Longoni , Monica Papini , Diego Arosio

Experimentally-measured pressure fields play an important role in understanding many fluid dynamics problems. Unfortunately, pressure fields are difficult to measure directly with non-invasive, spatially resolved diagnostics, and…

流体动力学 · 物理学 2024-04-16 Fernando Zigunov , John Charonko

This paper presents an efficient and comprehensive MATLAB code to solve two-dimensional structural topology optimization problems, including minimum mean compliance, compliant mechanism synthesis and multi-load compliance problems. The…

计算工程、金融与科学 · 计算机科学 2021-07-19 Daniel Yago , Juan Cante , Oriol Lloberas-Valls , Javier Oliver

Thermomechanical stress induced by through-silicon vias (TSVs) plays an important role in the performance and reliability analysis of 2.5D/3D ICs. While the finite element method (FEM) adopted by commercial software can provide accurate…

计算工程、金融与科学 · 计算机科学 2024-11-20 Tianxiang Zhu , Qipan Wang , Yibo Lin , Runsheng Wang , Ru Huang

Adaptive multilevel finite element methods are developed and analyzed for certain elliptic systems arising in geometric analysis and general relativity. This class of nonlinear elliptic systems of tensor equations on manifolds is first…

数值分析 · 数学 2010-01-12 Michael Holst

This paper constructs the first mixed finite element for the linear elasticity problem in 3D using $P_3$ polynomials for the stress and discontinuous $P_2$ polynomials for the displacement on tetrahedral meshes under some mild mesh…

数值分析 · 数学 2023-08-22 Jun Hu , Rui Ma , Yuanxun Sun