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The objective of this study is to establish a gradient-free topology optimization framework that facilitates more global solution searches to avoid entrapping in undesirable local optima, especially in problems with strong non-linearity.…

Optimization and Control · Mathematics 2025-03-07 Hiroki Kawabe , Kentaro Yaji , Yuichiro Aoki

Predictive modeling of stellarator plasmas is crucial for advancing nuclear fusion energy, yet it faces unique computational difficulties. One of the main challenges is accurately simulating the dynamics of specific particle species that…

Plasma Physics · Physics 2025-11-21 Luca Venerando Greco

The classical adjoint-based topology optimization (TO) method, based on the use of a random continuous dielectric function as an adjoint variable distribution, is known to be one of the most efficient optimization methods that enable the…

Optics · Physics 2023-11-01 Kofi Edee , Mauro Antezza , Brahim Guizal

Designing metamaterials for extreme mechanical behavior involves the optimal selection of design parameters. However, identifying these optimal parameters through topology optimization (TO) across a large parametric space requires extensive…

Computational Physics · Physics 2025-11-10 Ajendra Singh , Shubham Saurabh , Abhinav Gupta , Rajib Chowdhury

De-homogenization is becoming an effective method to significantly expedite the design of high-resolution multiscale structures, but existing methods have thus far been confined to simple static compliance minimization. There are two…

Computational Engineering, Finance, and Science · Computer Science 2021-12-21 Liwei Wang , Zhao Liu , Daicong Da , Yu-Chin Chan , Wei Chen , Ping Zhu

Topology Optimization (TO) provides a systematic approach for obtaining structure design with optimum performance of interest. However, the process requires numerical evaluation of objective function and constraints at each iteration, which…

Machine Learning · Computer Science 2022-03-22 Ren Kai Tan , Chao Qian , Dan Xu , Wenjing Ye

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

Developing appropriate analytic-function-based constitutive models for new materials with nonlinear mechanical behavior is demanding. For such kinds of materials, it is more challenging to realize the integrated design from the collection…

Optimization and Control · Mathematics 2022-11-11 Yunhang Guo , Zongliang Du , Lubin Wang , Wen Meng , Tien Zhang , Ruiyi Su , Dongsheng Yang , Shan Tang , Xu Guo

In this paper, a topology optimization framework utilizing automatic differentiation is presented as an efficient way for solving 2D density-based topology optimization problem by calculating gradients through the fully differentiable…

Computational Engineering, Finance, and Science · Computer Science 2020-09-23 Liang Chen , Herman M. H. Shen

Elastic metasurfaces offer precise control over elastic waves for applications such as vibration isolation, sensing, and imaging. However, achieving high-efficiency and scattering-free performance with complex functionalities remains a…

Applied Physics · Physics 2025-12-15 Chun Min Li , Wenjing Ye

Transistor topology optimization is a critical step in standard cell design, directly dictating diffusion sharing efficiency and downstream routability. However, identifying optimal topologies remains a persistent bottleneck, as…

Machine Learning · Computer Science 2026-04-17 Zhan Song , Yu-Tung Liu , Chen Chen , Guoheng Sun , Jiaqi Yin , Chia-tung Ho , Ang Li , Haoxing Ren , Cunxi Yu

In this study, we describe a procedure of topology optimization in the framework of the linear Boltzmann equation, implemented using a reference Monte-Carlo particle transport code. This procedure can design complex structures that optimize…

Instrumentation and Detectors · Physics 2019-08-20 Sébastien Chabod

Topological Interlocking assemblies are arrangements of blocks kinematically constrained by a fixed frame, such that all rigid body motions of each block are constrained only by its permanent contact with other blocks and the frame. In the…

Computational Engineering, Finance, and Science · Computer Science 2025-04-25 Tom Goertzen , Domen Macek , Lukas Schnelle , Meike Weiß , Stefanie Reese , Hagen Holthusen , Alice C. Niemeyer

We study avenues to shape multistability and shape-morphing in flexible crystalline membranes of cylindrical topology, enabled by glide mobility of dislocations. Using computational modeling, we obtain states of mechanical equilibrium…

Soft Condensed Matter · Physics 2022-03-23 Andrei Zakharov , Daniel A. Beller

We present a methodical procedure for topology optimization under uncertainty with multi-resolution finite element models. We use our framework in a bi-fidelity setting where a coarse and a fine mesh corresponding to low- and…

Numerical Analysis · Computer Science 2019-04-08 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Anisotropic fluids, such as nematic liquid crystals, can form non-spherical equilibrium shapes known as tactoids. Predicting the shape of these structures as a function of material parameters is challenging and paradigmatic of a broader…

Numerical Analysis · Mathematics 2025-02-04 James H. Adler , Anca S. Andrei , Timothy J. Atherton

Thermally actuated twisted and coiled polymer (TCP) artificial muscles exhibit exceptional specific work capacities but are limited by an inherent competition between load-bearing capacity and actuation stroke. To address this limitation,…

Soft Condensed Matter · Physics 2026-02-09 Ye Xiao , Zhao Luo , Falin Tian , Xinghao Hu , Dabiao Liu , Chun Li

Manipulating deformable and fragile objects remains a fundamental challenge in robotics due to complex contact dynamics and strict requirements on object integrity. Existing approaches typically optimize either end-effector design or…

Robotics · Computer Science 2026-02-23 Kei Ikemura , Yifei Dong , Florian T. Pokorny

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

Machine Learning · Computer Science 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

Topological defects play a central role in the physics of many materials, including magnets, superconductors and liquid crystals. In active fluids, defects become autonomous particles that spontaneously propel from internal active stresses…

Soft Condensed Matter · Physics 2024-06-12 Suraj Shankar , Luca V. D. Scharrer , Mark J. Bowick , M. Cristina Marchetti
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