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Cellular structures manifest their outstanding mechanical properties in many biological systems. One key challenge for designing and optimizing these geometrically complicated structures lies in devising an effective geometric…

Navigating topological transitions in cellular mechanical systems is a significant challenge for existing simulation methods. While abstract models lack predictive capabilities at the cellular level, explicit network representations…

图形学 · 计算机科学 2024-04-30 Logan Numerow , Yue Li , Stelian Coros , Bernhard Thomaszewski

Cellular structures found in nature exhibit remarkable properties such as high strength, high energy absorption, excellent thermal/acoustic insulation, and fluid transfusion. Many of these structures are Voronoi-like; therefore researchers…

计算工程、金融与科学 · 计算机科学 2024-04-30 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

Topology optimization of microstructures plays a critical role in optimizing functional performance across diverse engineering applications. While metamaterials with enhanced mechanical properties -- such as hyperelasticity, energy…

软凝聚态物质 · 物理学 2025-01-27 Weiming Wang , Yanhao Hou , Renbo Su , Weiguang Wang , Charlie C. L. Wang

We introduce a general, efficient method to completely describe the topology of individual grains, bubbles, and cells in three-dimensional polycrystals, foams, and other multicellular microstructures. This approach is applied to a pair of…

材料科学 · 物理学 2017-11-10 Emanuel A. Lazar , Jeremy K. Mason , Robert D. MacPherson , David J. Srolovitz

Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the…

机器学习 · 计算机科学 2025-06-18 Andreas Radler , Eric Volkmann , Johannes Brandstetter , Arturs Berzins

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology optimization problem for a time-evolving elastoplastic…

偏微分方程分析 · 数学 2021-06-21 Stefano Almi , Ulisse Stefanelli

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

计算工程、金融与科学 · 计算机科学 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

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

We develop and apply a novel shape optimization exemplified for a two-blade rotor with respect to the figure of merit ($FM$). This topologically assisted optimization (TAO) contains two steps. First a global evolutionary optimization is…

流体动力学 · 物理学 2023-05-17 Tianyu Wang , Yannian Yang , Xuanwu Chen , Pengyu Li , Angelo Iollo , Guy Y. Cornejo Maceda , Bernd R. Noack

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined…

偏微分方程分析 · 数学 2023-07-10 Stefano Almi , Ulisse Stefanelli

Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

We present VoroUDF, an algorithm for reconstructing high-quality triangle meshes from Unsigned Distance Fields (UDFs). Our algorithm supports non-manifold geometry, sharp features, and open boundaries, without relying on error-prone…

图形学 · 计算机科学 2026-02-06 Ningna Wang , Zilong Wang , Xiana Carrera , Xiaohu Guo , Silvia Sellán

We study the problem of decomposing a volume bounded by a smooth surface into a collection of Voronoi cells. Unlike the dual problem of conforming Delaunay meshing, a principled solution to this problem for generic smooth surfaces remained…

Voronoi diagrams naturally produce convex, watertight, and topologically consistent cells, making them an appealing representation for 3D shape reconstruction. However, standard differentiable Voronoi approaches typically optimize generator…

计算几何 · 计算机科学 2026-03-24 Jiayin Lu , Ying Jiang , Yumeng He , Yin Yang , Chenfanfu Jiang

This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed structures can be realised in a two-step process. One first…

最优化与控制 · 数学 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

最优化与控制 · 数学 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

Three dimensional (3D) topology optimization problems always involve huge numbers of Degrees of Freedom (DOFs) in finite element analysis (FEA) and design variables in numerical optimization, respectively. This will inevitably lead to large…

其他凝聚态物理 · 物理学 2017-06-28 Weisheng Zhang , Jishun Chen , Xuefeng Zhu , Jianhua Zhou , Dingchuan Xue , Xin Lei , Xu Guo

A novel approach for the solution of the wind farm layout optimization problem is presented. The annual energy production is maximized with constraints on the minimum and maximum number of wind turbines placed, and on the minimum spacing…

计算工程、金融与科学 · 计算机科学 2022-06-20 Nicolò Pollini

Topology optimization (TopOpt) is a mathematical-driven design procedure to realize optimal material architectures. This procedure is often used to automate the design of devices involving flow through porous media, such as micro-fluidic…

数值分析 · 数学 2021-06-01 T. Phatak , K. B. Nakshatrala
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