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A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

计算工程、金融与科学 · 计算机科学 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

The geometric design of structures with optimized physical and chemical properties is one of the core topics in materials science. However, designing new functional materials is challenging due to the vast number of existing and the…

光学 · 物理学 2025-07-17 Congcong Cui , Guangfeng Wei , Matthias Saba , Yuanyuan Cao , Lu Han

Topological photonic crystals have received considerable attention for their ability to manipulate and guide light in unique ways. They are typically designed by hand based on careful analysis of their bands and mode profiles, but recent…

光学 · 物理学 2022-12-01 Samuel Kim , Thomas Christensen , Steven G. Johnson , Marin Soljačić

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

光学 · 物理学 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

The focus of this article is on shape and topology optimization of transient vibroacoustic problems. The main contribution is a transient problem formulation that enables optimization over wide ranges of frequencies with complex signals,…

最优化与控制 · 数学 2023-06-28 Cetin B. Dilgen , Niels Aage

The moire flat bands in twisted bilayer graphene have attracted considerable attention not only because of the emergence of correlated phases but also due to their nontrivial topology. Specifically, they exhibit a new class of topology that…

介观与纳米尺度物理 · 物理学 2025-03-07 Ki Young Lee , Stephan Wong , Sachin Vaidya , Terry A. Loring , Alexander Cerjan

Data-driven approaches have been proposed as effective strategies for the inverse design and optimization of photonic structures in recent years. In order to assist data-driven methods for the design of topology of photonic devices, we…

光学 · 物理学 2020-03-18 Zhaocheng Liu , Zhaoming Zhu , Wenshan Cai

Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in…

材料科学 · 物理学 2019-09-25 Henrik Ronellenfitsch , Norbert Stoop , Josephine Yu , Aden Forrow , Jörn Dunkel

Phononic crystals enable precise manipulation of elastic wave propagation through engineered bandgaps; however, designing defect states within these bandgaps for frequency-selective applications remains a significant challenge. Existing…

材料科学 · 物理学 2026-05-27 Xinlin Xu , Junji Kato

The design of periodic nanostructures allows to tailor the transport of photons, phonons, and matter waves for specific applications. Recent years have seen a further expansion of this field by engineering topological properties. However,…

介观与纳米尺度物理 · 物理学 2021-06-16 Vittorio Peano , Florian Sapper , Florian Marquardt

In this paper gradient based topology optimization (TO) is used to discover 3-D phononic structures that exhibit ultra-wide normalized all-angle all-mode band gaps. The challenging computational task of repeated 3-D phononic band-structure…

材料科学 · 物理学 2017-01-27 Yan Lu , Yang Yang , James K. Guest , Ankit Srivastava

In recent years, there have been rapid advances in the parallel fields of electronic and photonic topological crystals. Topological photonic crystals in particular show promise for coherent transport of light and quantum information at…

介观与纳米尺度物理 · 物理学 2019-10-23 María Blanco de Paz , Maia G. Vergniory , Dario Bercioux , Aitzol García-Etxarri , Barry Bradlyn

The design of specified nonlinear mechanical responses into a structure or material is a highly sought after capability, which would have a significant impact in areas such as wave tailoring in metamaterials, impact mitigation, soft…

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

介观与纳米尺度物理 · 物理学 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

The design of an experiment, e.g., the setting of initial conditions, strongly influences the accuracy of the whole process of determining model parameters from data. We impose a sensitivity-based approach for choosing optimal design…

数值分析 · 数学 2016-02-11 Stefan Kindermann , Stepan Papacek

We present a density based topology optimization approach for the design of metallic microwave insert filters. A two-phase optimization procedure is proposed in which we, starting from a uniform design, first optimize to obtain a set of…

经典物理 · 物理学 2016-09-09 Niels Aage , Villads Egede Johansen

Topological phases in electronic structures contain a new type of topology, called fragile, which can arise, for example, when an Elementary Band Representation (Atomic Limit Band) splits into a particular set of bands. We obtain, for the…

介观与纳米尺度物理 · 物理学 2020-07-08 Zhida Song , L. Elcoro , Nicolas Regnault , B. Andrei Bernevig

Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituents through the strategic spatial arrangement of the…

材料科学 · 物理学 2017-10-10 Duyu Chen , Salvatore Torquato

The machine learning based approaches efficiently solve the goal of searching the best materials candidate for the targeted properties. The search for topological materials using traditional first-principles and symmetry-based methods often…

材料科学 · 物理学 2025-09-23 Zodinpuia Ralte , Ramesh Kumar , Mukhtiyar Singh

For non-topological quantum materials, introducing defects can significantly alter their properties by modifying symmetry and generating a nonzero analytical index, thus transforming the material into a topological one. We present a method…

介观与纳米尺度物理 · 物理学 2025-07-03 Yuval Abulafia , Amit Goft , Nadav Orion , Eric Akkermans
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