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We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

数值分析 · 数学 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

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

Separation in logistic regression is a common problem causing failure of the iterative estimation process when finding maximum likelihood estimates. Firth's correction (FC) was proposed as a solution, providing estimates also in presence of…

统计方法学 · 统计学 2020-12-01 Hana Šinkovec , Angelika Geroldinger , Georg Heinze , Rok Blagus

Aligning lattices based on local stress distribution is crucial for achieving exceptional structural stiffness. However, this aspect has primarily been investigated under a single load condition, where stress in 2D can be described by two…

计算工程、金融与科学 · 计算机科学 2025-01-20 Junpeng Wang , Rüdiger Westermann , Xifeng Gao , Jun Wu

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

Stiffener layout optimization of complex surfaces is fulfilled within the framework of topology optimization. A combined parameterization method is developed in two aspects. One is to parameterize the material distribution of the stiffener…

计算工程、金融与科学 · 计算机科学 2022-01-26 Weihong Zhang , Shengqi Feng

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

Multi-objective parametric optimization problem is presented for overwrapped composite pressure vessels under internal pressure for storage and heating water. It is solved using the developed iterative optimization algorithm. Optimal values…

A multiobjective optimization method is proposed for obtaining the optimal plane trusses simultaneously for various aspect ratios of the initial ground structure as a set of Pareto optimal solutions generated through a single optimization…

最优化与控制 · 数学 2023-08-01 Makoto Ohsaki , Saku Aoyagi , Kazuki Hayashi

Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition…

动力系统 · 数学 2026-01-12 Margherita Bertè , Tommaso Gili

A phase field approach for structural topology optimization with application to additive manufacturing is analyzed. The main novelty is the penalization of overhangs (regions of the design that require underlying support structures during…

最优化与控制 · 数学 2023-03-14 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

计算工程、金融与科学 · 计算机科学 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizing identical finite dimensional spaces (with arbitrary…

In this paper we report a new promising idea on the design and manufacturing of ply composite structures, tailored to exhibit maximum stiffness under given weight constraints and loading conditions. It is based on the idea behind an…

计算物理 · 物理学 2020-02-26 Igor A. Ostanin

Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing…

最优化与控制 · 数学 2024-07-02 Han Zhao , David Kamensky , John T. Hwang , Jiun-Shyan Chen

In the current industry, the development of optimized mechanical components able to satisfy the customer requirements evolves quickly. Therefore, companies are asked for efficient solutions to improve their products in terms of stiffness…

计算工程、金融与科学 · 计算机科学 2023-07-31 Rafael Merli , Antolín Martínez-Martínez , Juan José Ródenas , Marc Bosch-Galera , Enrique Nadal

The computational analysis of fiber network fracture is an emerging field with application to paper, rubber-like materials, hydrogels, soft biological tissue, and composites. Fiber networks are often described as probabilistic structures of…

数值分析 · 数学 2022-07-20 Vedad Tojaga , Artem Kulachenko , Soren Ostlund , T. Christian Gasser

Two approaches that use a density field for seeding holes in level set topology optimization are proposed. In these approaches, the level set field describes the material-void interface while the density field describes the material…

最优化与控制 · 数学 2019-09-25 Jorge L. Barrera , Markus J. Geiss , Kurt Maute

This paper presents a topology optimization framework for structural problems subjected to transient loading. The mechanical model assumes a linear elastic isotropic material, infinitesimal strains, and a dynamic response. The optimization…

经典物理 · 物理学 2017-05-05 Reza Behrou , James K. Guest

This paper proposes a level set-based method for optimizing shell structures with large design changes in shape and topology. Conventional shell optimization methods, whether parametric or nonparametric, often only allow limited design…

计算工程、金融与科学 · 计算机科学 2024-08-29 Hiroki Kobayashi , Katsuya Nomura , Yuqing Zhou , Masato Tanaka , Atsushi Kawamoto , Tsuyoshi Nomura