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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

A fundamental challenge for millimeter wave (mmWave) communications lies in its sensitivity to the presence of blockages, which impact the connectivity of the communication links and ultimately the reliability of the entire network. In this…

信号处理 · 电气工程与系统科学 2021-01-05 Gui Zhou , Cunhua Pan , Hong Ren , Kezhi Wang , Maged Elkashlan , Marco Di Renzo

An optimization method for the design of multi-lattice structures satisfying local buckling constraints is proposed in this paper. First, the concept of free material optimization is introduced to find an optimal elastic tensor distribution…

计算几何 · 计算机科学 2021-11-10 Xingtong Yang , Xinzhuo Hu , Liangchao Zhu , Ming Li

This paper concerns models and convergence principles for dealing with stochasticity in a wide range of algorithms arising in nonlinear analysis and optimization in Hilbert spaces. It proposes a flexible geometric framework within which…

最优化与控制 · 数学 2026-02-17 Patrick L. Combettes , Javier I. Madariaga

This paper presents a computationally efficient method for the optimal design of silica aerogel porous material systems, balancing thermal insulation performance with mechanical stability under stress concentrations. The proposed approach…

计算工程、金融与科学 · 计算机科学 2025-04-03 Pratyush Kumar Singh , Danial Faghihi

Presence of a high-dimensional stochastic parameter space with discontinuities poses major computational challenges in analyzing and quantifying the effects of the uncertainties in a physical system. In this paper, we propose a stochastic…

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

计算物理 · 物理学 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora

The stochastic subgradient method is a widely-used algorithm for solving large-scale optimization problems arising in machine learning. Often these problems are neither smooth nor convex. Recently, Davis et al. [1-2] characterized the…

最优化与控制 · 数学 2021-02-25 Shixiang Chen , Alfredo Garcia , Shahin Shahrampour

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

最优化与控制 · 数学 2017-01-24 Matthew Lawry , Kurt Maute

This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where…

计算工程、金融与科学 · 计算机科学 2023-10-10 Rebekka V. Woldseth , J. Andreas Bærentzen , Ole Sigmund

This paper presents a density-based topology optimization method for designing 3D thin-walled structures with adaptive meshing. Uniform wall thickness is achieved by simultaneously constraining the minimum and maximum feature sizes using…

计算工程、金融与科学 · 计算机科学 2019-08-29 Yuqing Zhou , Tsuyoshi Nomura , Ercan M. Dede , Kazuhiro Saitou

Nature-inspired stochastic metamaterials with disordered and multiscale architectures have shown great promise towards extraordinary functionalities, including high mechanical resilience, stress modulation and biased stiffness…

应用物理 · 物理学 2025-11-14 Canhui Lin , Ke Xu , Chenli Zhou , Yubin Gao , Yingguang Li

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

最优化与控制 · 数学 2013-07-30 Michal Kocvara

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

最优化与控制 · 数学 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent significant advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimisation remains a…

软凝聚态物质 · 物理学 2019-10-16 Jack Panter , Yonas Gizaw , Halim Kusumaatmaja

Topology optimization has matured to become a powerful engineering design tool that is capable of designing extraordinary structures and materials taking into account various physical phenomena. Despite the method's great advancements in…

计算工程、金融与科学 · 计算机科学 2024-10-29 Anna Dalklint , Rasmus E. Christiansen , Ole Sigmund

In recent years, interfacial fracture becomes one of the most important problems in the assessment of reliability of electronics packaging. Especially, underfill resin is used with solder joints in flip chip packaging for preventing the…

材料科学 · 物理学 2007-09-13 Q. Yu , T. Shibutani , M. Shiratori , T. Matsuzaki , T. Matsumoto

The robust truss topology optimization against the uncertain static external load can be formulated as mixed-integer semidefinite programming. Although a global optimal solution can be computed with a branch-and-bound method, it is very…

最优化与控制 · 数学 2019-01-25 Yoshihiro Kanno

In this paper two formulations for the robust optimization of the size of the permanent magnet in a synchronous machine are discussed. The optimization is constrained by a partial differential equation to describe the electromagnetic…

最优化与控制 · 数学 2018-08-07 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Stefan Ulbrich , Oliver Rain

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