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The focus of this paper is on topology optimization of continuum structures subject to thermally induced buckling. Popular strategies for solving such problems include Solid Isotropic Material with Penalization (SIMP) and Rational…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Suresh Krishnan

Machine learning (ML) has been increasingly used for topology optimization (TO). However, most existing ML-based approaches focus on simplified benchmark problems due to their high computational cost, spectral bias, and difficulty in…

Machine Learning · Computer Science 2026-02-23 Xiangyu Sun , Shirin Hosseinmardi , Amin Yousefpour , Ramin Bostanabad

This paper presents a driving-cycle-aware shape and topology optimization workflow for interior permanent magnet synchronous machines used in traction drives. A k-means clustering approach reduces full driving cycles to representative…

Computational Engineering, Finance, and Science · Computer Science 2026-04-14 Alexander Schugardt

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

Numerical Analysis · Mathematics 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

In this paper we study paramertized motion planning algorithms which provide universal and flexible solutions to diverse motion planning problems. Such algorithms are intended to function under a variety of external conditions which are…

Robotics · Computer Science 2022-02-24 Michael Farber , Shmuel Weinberger

In this paper we present a novel two-scale framework to optimize the structure and the material distribution of an object given its functional specifications. Our approach utilizes multi-material microstructures as low-level building blocks…

Computational Engineering, Finance, and Science · Computer Science 2017-06-13 Bo Zhu , Mélina Skouras , Desai Chen , Wojciech Matusik

In this article, a few problems related to multiscale modelling of magnetic materials at finite temperatures and possible ways of solving these problems are discussed. The discussion is mainly centred around two established multiscale…

Computational Physics · Physics 2017-02-20 Doghonay Arjmand , Mikhail Poluektov , Gunilla Kreiss

This paper provides an extended level set (X-LS) based topology optimiza- tion method for multi material design. In the proposed method, each zero level set of a level set function {\phi}ij represents the boundary between materials i and j.…

Computational Engineering, Finance, and Science · Computer Science 2022-03-10 Masaki Noda , Yuki Noguchi , Takayuki Yamada

This paper presents a synthesis approach in a density-based topology optimization setting to design large deformation compliant mechanisms for inducing desired strains in biological tissues. The modelling is based on geometrical…

Computational Engineering, Finance, and Science · Computer Science 2021-03-26 P. Kumar , C. Schmidleithner , N. B. Larsen , O. Sigmund

When electrically stimulated, electroactive polymers (EAPs) respond with mechanical deformation. The goal of this work is to design electrode and EAP layouts simultaneously in structures by using density-based, multi-material topology…

Computational Engineering, Finance, and Science · Computer Science 2024-12-05 Daniel Hård , Mathias Wallin , Matti Ristinmaa

The inverse design approach in magnonics exploits the wave nature of magnons and machine learning to develop logical devices with functionalities that exceed the capabilities of analytical methods. While promising for analog, Boolean, and…

Other Condensed Matter · Physics 2025-05-26 Andrey A. Voronov , Marcos Cuervo Santos , Florian Bruckner , Dieter Suess , Andrii V. Chumak , Claas Abert

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…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Rebekka V. Woldseth , J. Andreas Bærentzen , Ole Sigmund

The simulation of three dimensional magnetostatic problems plays an important role, for example when simulating synchronous electric machines. Building on prior work that developed a domain decomposition algorithm using isogeometric…

Computational Engineering, Finance, and Science · Computer Science 2025-01-09 Mario Mally , Melina Merkel

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…

Optimization and Control · Mathematics 2023-08-01 Makoto Ohsaki , Saku Aoyagi , Kazuki Hayashi

Topological mapping of a large physical system on a graph, and its decomposition using universal measures is proposed. We find inherent limits to the potential for optimization of a given system and its approximate representations by…

Social and Information Networks · Computer Science 2015-02-10 Vladan Mlinar

Multiresolution topology optimization (MTO) methods involve decoupling of the design and analysis discretizations, such that a high-resolution design can be obtained at relatively low analysis costs. Recent studies have shown that the MTO…

Computational Engineering, Finance, and Science · Computer Science 2018-11-27 Deepak K. Gupta , Fred van Keulen , Matthijs Langelaar

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

Optimization and Control · Mathematics 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

We propose and investigate a mesh deformation technique for PDE constrained shape optimization. Introducing a gradient penalization to the inner product for linearized shape spaces, mesh degeneration can be prevented within the optimization…

Optimization and Control · Mathematics 2021-06-09 Martin Siebenborn , Andreas Vogel

Inspired by multigrid methods for linear systems of equations, multilevel optimization methods have been proposed to solve structured optimization problems. Multilevel methods make more assumptions regarding the structure of the…

Optimization and Control · Mathematics 2019-11-27 Chin Pang Ho , Michal Kocvara , Panos Parpas

Neural networks have recently been employed as material discretizations within adjoint optimization frameworks for inverse problems and topology optimization. While advantageous regularization effects and better optima have been found for…

Machine Learning · Computer Science 2024-07-26 Leon Herrmann , Ole Sigmund , Viola Muning Li , Christian Vogl , Stefan Kollmannsberger
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