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In this research, multi-physics topology optimization is employed to achieve the detailed design of a lightweight porous linear actuation mechanism that harnesses energy through laser activation. A multiscale topology optimization…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Musaddiq Al Ali , Masatoshi Shimoda

Lattice surgery is a leading approach for implementing fault-tolerant logical operations in surface code quantum computing, but compiling efficient lattice surgery layouts remains challenging. Existing compilers are largely circuit-centric…

Quantum Physics · Physics 2026-03-31 Junyu Zhou , Yuhao Liu , Ethan Decker , Justin Kalloor , Mathias Weiden , Kean Chen , Costin Iancu , Gushu Li

Additive manufacturing is advantageous for producing lightweight components while addressing complex design requirements. This capability has been bolstered by the introduction of unit lattice cells and the gradation of those cells. In…

Machine Learning · Computer Science 2023-06-21 Martha Baldwin , Nicholas A. Meisel , Christopher McComb

We demonstrate optimization of optical metasurfaces over $10^5$--$10^6$ degrees of freedom in two and three dimensions, 100--1000+ wavelengths ($\lambda$) in diameter, with 100+ parameters per $\lambda^2$. In particular, we show how…

Optics · Physics 2019-06-26 Zin Lin , Victor Liu , Raphaël Pestourie , Steven G. Johnson

The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their…

Computational Physics · Physics 2022-04-15 Tarun Gangwar , Dominik Schillinger

Spinodoid architected materials have drawn significant attention due to their unique nature in stochasticity, aperiodicity, and bi-continuity. Compared to classic periodic truss-, beam- and plate-based lattice architectures, spinodoids are…

Computational Engineering, Finance, and Science · Computer Science 2025-10-16 Shiguang Deng , Doksoo Lee , Aaditya Chandrasekhar , Stefan Knapik , Liwei Wang , Horacio D. Espinosa , Wei Chen

With the growing maturity of additive manufacturing, the fabrication of architected or lattice-based metamaterials has become a reality for industrial applications. These materials combine lightweight design with tailored mechanical…

Numerical Analysis · Mathematics 2026-03-12 Clément Guillet , Thibaut Hirschler , Pierre Jolivet , Pablo Antolin , Robin Bouclier

We propose a neural network-based approach to topology optimization that aims to reduce the use of support structures in additive manufacturing. Our approach uses a network architecture that allows the simultaneous determination of an…

Machine Learning · Computer Science 2022-10-05 Hongrui Chen , Aditya Joglekar , Kate S. Whitefoot , Levent Burak Kara

Pentamode metamaterials are a type of extremal designer metamaterials which are able to demonstrate high rigidity in one direction and extremely high compliance in other directions. Pentamodes can, therefore, be considered as building…

Applied Physics · Physics 2020-10-13 Kaivan Mohammadi , Mohammad R. Movahhedy , Igor Shishkovsky , Reza Hedayati

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

Optimization and Control · Mathematics 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

In this work, we study lattice structures that exhibit a bistable behavior, i. e., they can snap from one stable state to another, and are also completely reversible, capable of reverting back to its original state through a heat treatment.…

Classical Physics · Physics 2022-07-19 Aditya Vasudevan , José A. Rodríguez-Martínez , Ignacio Romero

Architected materials with their unique topology and geometry offer the potential to modify physical and mechanical properties. Machine learning can accelerate the design and optimization of these materials by identifying optimal designs…

Machine Learning · Computer Science 2024-04-17 Akshansh Mishra

This paper investigates the structure-property relations of thin-walled lattices under dynamic longitudinal compression, characterized by their cross-sections and heights. These relations elucidate the interactions of different geometric…

Machine Learning · Computer Science 2022-12-22 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

We propose a topology-optimization framework for optimizing finite structures of arbitrary shape by combining density-based methods with level-set approaches. We first optimize regular polygonal structures to suppress the photonic density…

The complex physics and numerous failure modes of structural impact creates challenges when designing for impact resistance. While simple geometries of layered material are conventional, advances in 3D printing and additive manufacturing…

Optimization and Control · Mathematics 2023-01-04 Andrew Akerson

Triply periodic minimal surface (TPMS) structures, a type of lattice structure, have garnered significant attention due to their lightweight nature, controllability, and excellent mechanical properties. Voxel-based modeling is a widely used…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Siqi Wang , Chuangyu Jiang , Xiaodong Zhang , Yilong Zhang , Baoqiang Zhang , Huageng Luo

This work presents a rigorous mathematical formulation for topology optimization of a macrostructure undergoing ductile failure. The prediction of ductile solid materials which exhibit dominant plastic deformation is an intriguingly…

Numerical Analysis · Mathematics 2023-03-22 Nima Noii , Hassan Ali Jahangiry , Haim Waisman

Photonic topology optimization is a technique used to find the electric permittivity distribution of a device that optimizes an electromagnetic figure-of-merit. Two common techniques are used: continuous density-based optimizations that…

Applied Physics · Physics 2021-07-21 Conner Ballew , Gregory Roberts , Tianzhe Zheng , Andrei Faraon

Inclusion of contact in mechanical designs opens a large range of design possibilities, this includes classical designs with contact, such as gears, couplings, switches, clamps etc. However, incorporation of contact in topology optimization…

Computational Engineering, Finance, and Science · Computer Science 2023-05-12 Andreas Henrik Frederiksen , Ole Sigmund , Konstantinos Poulios

Flexible mechanical metamaterials possess repeating structural motifs that imbue them with novel, exciting properties including programmability, anomalous elastic moduli and nonlinear and robust response. We address such structures via…

Soft Condensed Matter · Physics 2020-03-11 Adrien Saremi , Zeb Rocklin