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In this paper, a two-scale approach for elastic shape optimization of fine-scale structures in additive manufacturing is investigated. To this end, a free material optimization is performed on the macro-scale using elasticity tensors in a…

数值分析 · 数学 2022-07-28 Sergio Conti , Martin Rumpf , Stefan Simon

An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

数值分析 · 数学 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

Despite the increasing availability of personal fabrication hardware and services, the true potential of digital fabrication remains unrealized due to lack of computational techniques that can support 3D shape design by non-experts. This…

图形学 · 计算机科学 2020-06-11 Nurcan Gecer Ulu

The task of finding the optimal compression of a polyline with straight-line segments and arcs is performed in many applications, such as polyline compression, noise filtering, and feature recognition. Optimal compression algorithms find…

计算几何 · 计算机科学 2018-11-15 Alexander Gribov

Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be…

最优化与控制 · 数学 2025-10-27 Evan Markou , Thalaiyasingam Ajanthan , Stephen Gould

Compacting orthogonal drawings is a challenging task. Usually algorithms try to compute drawings with small area or edge length while preserving the underlying orthogonal shape. We present a one-dimensional compaction algorithm that alters…

数据结构与算法 · 计算机科学 2017-06-21 Michael Jünger , Petra Mutzel , Christiane Spisla

The latest sheet stamping processes enable efficient manufacturing of complex shape structural components that have high stiffness to weight ratios, but these processes can introduce defects. To assist component design for stamping…

机器学习 · 计算机科学 2022-02-09 Hamid Reza Attar , Alistair Foster , Nan Li

In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications. However, sensitivity distributions obtained from shape…

计算工程、金融与科学 · 计算机科学 2023-10-04 Lars Radtke , Georgios Bletsos , Niklas Kühl , Tim Suchan , Thomas Rung , Alexander Düster , Kathrin Welker

This paper reviews the use of relatively new manufacturing method called as additive manufacturing, most often mentioned as 3D printing in fabrication of high performance superalloys. The overview of the article describes the structure,…

应用物理 · 物理学 2018-05-31 Apoorv Kulkarni

We examine the interaction of multigrid methods and shape optimization in appropriate shape spaces. Our aim is a scalable algorithm for application on supercomputers, which can only be achieved by mesh-independent convergence. The impact of…

最优化与控制 · 数学 2021-04-12 Martin Siebenborn , Kathrin Welker

In recent years, there has been considerable interest in the transformative potential of additive manufacturing (AM) since it allows for producing highly customizable and complex components while reducing lead times and costs. The rise of…

离散数学 · 计算机科学 2023-08-21 Benedikt Zipfel , Felix Tamke , Leopold Kuttner

This paper introduces an algorithm to generate a 3D extruder path, combining classic planar and non-planar layers to enhance the surface quality and accuracy of complex 3D printed parts. Material extrusion 3D printing, due to its…

计算几何 · 计算机科学 2024-11-12 Shadman Tajwar Shahid

Designing functional materials requires a deep search through multidimensional spaces for system parameters that yield desirable material properties. For cases where conventional parameter sweeps or trial-and-error sampling are impractical,…

材料科学 · 物理学 2022-03-22 Sanket Kadulkar , Zachary M. Sherman , Venkat Ganesan , Thomas M. Truskett

A design optimization framework for process parameters of additive manufacturing based on finite element simulation is proposed. The finite element method uses a coupled thermomechanical model developed for fused deposition modeling from…

数值分析 · 数学 2025-01-29 Jingyi Wang , Panayiotis Papadopoulos

Significant developments in the field of additive manufacturing (AM) allowed the fabrication of complex microarchitectured components with varying porosity across different scales. However, due to the high complexity of this process, the…

计算工程、金融与科学 · 计算机科学 2020-12-16 N. Korshunova , J. Jomo , G. Lékó , D. Reznik , P. Balázs , S. Kollmannsberger

Shells, i.e., objects made of a thin layer of material following a surface, are among the most common structures in use. They are highly efficient, in terms of material required to maintain strength, but also prone to deformation and…

图形学 · 计算机科学 2019-04-30 Francisca Gil-Ureta , Nico Pietroni , Denis Zorin

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

最优化与控制 · 数学 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

Adjoint-based optimization methods are attractive for aerodynamic shape design primarily due to their computational costs being independent of the dimensionality of the input space and their ability to generate high-fidelity gradients that…

计算物理 · 物理学 2020-08-18 S. Ashwin Renganathan , Romit Maulik and , Jai Ahuja

This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The development of materials with specific properties is of huge…

最优化与控制 · 数学 2019-07-16 Marc Dambrine , Helmut Harbrecht

Off-the-shelf fused filament fabrication 3D printers are widely accessible and convenient, yet they exhibit quality loss at high speeds due to dynamic mis-synchronization between printhead motion and material extrusion systems, notably…

系统与控制 · 电气工程与系统科学 2026-01-01 Yufan Lin , Xavier Guidetti , Yannick Nagel , Efe C. Balta , John Lygeros