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From self-assembly and protein folding to combinatorial metamaterials, a key challenge in material design is finding the right combination of interacting building blocks that yield targeted properties. Such structures are fiendishly…

Soft Condensed Matter · Physics 2025-06-26 Ryan van Mastrigt , Marjolein Dijkstra , Martin van Hecke , Corentin Coulais

We present a global optimizer, based on a conditional generative neural network, which can output ensembles of highly efficient topology-optimized metasurfaces operating across a range of parameters. A key feature of the network is that it…

Machine Learning · Computer Science 2019-07-18 Jiaqi Jiang , Jonathan A. Fan

We analyze the performance of a reduced-order simulation of geometric meta-materials based on zigzag patterns using a simplified representation. As geometric meta-materials we denote planar cellular structures which can be fabricated in 2d…

Graphics · Computer Science 2022-10-25 Kurt Leimer , Przemyslaw Musialski

Triply Periodic Minimal Surface (TPMS) structures have emerged as a new class of porous materials with variable geometries and favourable transport properties, making them promising for reactor internals in chemical engineering. However,…

Dynamic mechanical metamaterials (MMs) are artificial media composed of periodic micro-structures, designed to manipulate wave propagation. Modeling and designing these materials can be computationally demanding due to the broad design…

Applied Physics · Physics 2023-07-04 Weidi Wang , Alireza Amirkhizi

We introduce a computational framework for the topology optimization of cellular structures with spatially varying architecture, which is applied to functionally graded truss lattices under quasistatic loading. We make use of a first-order…

Other Condensed Matter · Physics 2022-05-31 Bastian Telgen , Ole Sigmund , Dennis M. Kochmann

Triply periodic minimal surfaces (TPMSs) play a vital role in the design of porous structures, with applications in bone tissue engineering, chemical engineering, and the creation of lightweight models. However, fabrication of TPMSs via…

Graphics · Computer Science 2024-02-20 Gao Depeng , Zhang Yuanzhi , Lin Hongwei

We present a new algorithm to design lightweight cellular materials with required properties in a multi-physics context. In particular, we focus on a thermo-mechanical setting, by promoting the design of unit cells characterized both by an…

Computational Engineering, Finance, and Science · Computer Science 2022-02-21 Matteo Gavazzoni , Nicola Ferro , Simona Perotto , Stefano Foletti

We propose a new algorithm for the design of topologically optimized lightweight structures, under a minimum compliance requirement. The new process enhances a standard level set formulation in terms of computational efficiency, thanks to…

Computational Engineering, Finance, and Science · Computer Science 2022-08-24 Davide Cortellessa , Nicola Ferro , Simona Perotto , Stefano Micheletti

Lattice-based mechanical metamaterials are known to exhibit quite a unique mechanical behavior owing to their rational internal architecture. This includes unusual properties such as a negative Poisson's ratio, which can be easily tuned in…

Soft Condensed Matter · Physics 2023-04-19 Gerrit Felsch , Naeim Ghavidelnia , David Schwarz , Viacheslav Slesarenko

Generative adversarial networks, which can generate metasurfaces based on a training set of high performance device layouts, have the potential to significantly reduce the computational cost of the metasurface design process. However, basic…

Computational Physics · Physics 2019-12-03 Fufang Wen , Jiaqi Jiang , Jonathan A. Fan

Electromagnetic metasurfaces have attracted significant interest recently due to their low profile and advantageous applications. Practically, many metasurface designs start with a set of constraints for the radiated far-field, such as…

Materials Science · Physics 2022-04-04 Stewart Pearson , Parinaz Naseri , Sean V. Hum

As a two-dimensional planar material with low depth profile, a metasurface can generate non-classical phase distributions for the transmitted and reflected electromagnetic waves at its interface. Thus, it offers more flexibility to control…

In this paper we use memory-distributed level set-based topology optimisation to design three-dimensional periodic piezoelectric materials with enhanced properties. We compare and assess several existing iterative solvers with respect to…

Computational Engineering, Finance, and Science · Computer Science 2026-01-26 Zachary J. Wegert , Anthony P. Roberts , Vivien J. Challis

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

Neural and Evolutionary Computing · Computer Science 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Zhan Xiong , Hai-Xiao Wang , Jinjie Shi , Jie Luo , Yun Lai , Ming-Hui Lu , Jian-Hua Jiang

Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally…

Optimization and Control · Mathematics 2025-10-13 Shuzhi Xu , Yifan Guo , Hiroki Kawabe , Kentaro Yaji

This study proposes a methodology to utilize machine learning (ML) for topology optimization of periodic lattice structures. In particular, we investigate data representation of lattice structures used as input data for ML models to improve…

Optimization and Control · Mathematics 2024-11-22 Tomoya Matsuoka , Makoto Ohsaki , Kazuki Hayashi

The research paper presents a novel approach to optimizing the tensile stress of Triply Periodic Minimal Surface (TPMS) structures through machine learning and Simulated Annealing (SA). The study evaluates the performance of Random Forest,…

Materials Science · Physics 2024-06-11 Akshansh Mishra

Deep learning-based medical image segmentation and surface mesh generation typically involve a sequential pipeline from image to segmentation to meshes, often requiring large training datasets while making limited use of prior geometric…