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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…

Computational Engineering, Finance, and Science · Computer Science 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…

Optics · Physics 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…

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…

Optics · Physics 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,…

Optimization and Control · Mathematics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Optics · Physics 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…

Materials Science · Physics 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…

Materials Science · Physics 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,…

Mesoscale and Nanoscale Physics · Physics 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…

Materials Science · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Materials Science · Physics 2023-12-01 Brianna MacNider , Ian Frankel , Kai Qian , Alan Pozos , Aketzali Santos , H. Alicia Kim , Nicholas Boechler

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…

Mesoscale and Nanoscale Physics · Physics 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…

Numerical Analysis · Mathematics 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…

Classical Physics · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Materials Science · Physics 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…

Materials Science · Physics 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…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Yuval Abulafia , Amit Goft , Nadav Orion , Eric Akkermans
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