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We propose a spectral viewpoint for grain boundaries that are generally quasiperiodic. To accurately capture the spectra computationally, it is crucial to adopt the projection method for quasiperiodic functions. Armed with the…

Materials Science · Physics 2021-11-11 Kai Jiang , Wei Si , Jie Xu

We study four double-gyroid (DG) grain boundaries (GBs) with different orientations numerically using the Landau--Brazovskii free energy, including the (422) twin boundary studied recently, a network switching GB, and two tilt GBs.…

Soft Condensed Matter · Physics 2024-02-09 Jing Chen , Zhangpeng Sun , Kai Jiang , Jie Xu

We present the results of first-principles calculations of selected structural and thermodynamic properties of a set of grain boundaries (GBs) in zirconium, spanning a range of misorientation angles and boundary planes. We performed…

Materials Science · Physics 2020-09-14 Adam J Plowman , Christopher P Race

We report new ground-state structures and phase transitions in $\Sigma$5[001] tilt grain boundaries (GBs) in body-centered cubic (BCC) refractory metals Nb, Ta, Mo, and W. $\Sigma$5 tilt GBs have been extensively investigated over the past…

Materials Science · Physics 2025-08-19 Enze Chen , Timofey Frolov

Grain boundaries (GBs) in metals usually increase electrical resistivity due to their distinct atomic arrangement compared to the grain interior. While the GB structure has a crucial influence on the electrical properties, its relationship…

Materials Science · Physics 2022-01-19 Hanna Bishara , Subin Lee , Tobias Brink , Matteo Ghidelli , Gerhard Dehm

Atomistic simulations are employed to demonstrate the existence of a well-defined thermodynamic phase transformation between grain boundary (GB) phases with different atomic structures. The free energy of different interface structures for…

Materials Science · Physics 2018-09-19 Rodrigo Freitas , Robert E. Rudd , Mark Asta , Timofey Frolov

One of the major challenges towards understanding and further utilizing the properties and functional behaviors of grain boundaries (GB) is the complexity of general GBs with mixed tilt and twist characters. Here, we report the correlations…

Materials Science · Physics 2024-09-04 Wei Wan , Changxin Tang , Eric R. Homer

Computing the grain boundary (GB) counterparts to bulk phase diagrams represents an emerging research direction. Using a classical embrittlement model system Ga-doped Al alloy, this study demonstrates the feasibility of computing…

Materials Science · Physics 2022-01-20 Chongze Hu , Yanwen Li , Zhiyang Yu , Jian Luo

This study proposes algorithms for building tilt grain boundary (GB) models with a boundary plane-oriented approach that does not rely on existence of a coincidence site lattice (CSL). As conventional GB model generation uses the CSL of…

Materials Science · Physics 2023-05-02 Yoyo Hinuma , Masanori Kohyama , Shingo Tanaka

Grain boundaries (GBs) can be treated as two-dimensional (2-D) interfacial phases (also called 'complexions') that can undergo interfacial phase-like transitions. As bulk phase diagrams and calculation of phase diagram (CALPHAD) methods are…

Materials Science · Physics 2022-09-05 Jian Luo

Grain boundary (GB) properties greatly influence the mechanical, electrical, and thermal response of polycrystalline materials. Most computational studies of GB properties at finite temperatures use molecular dynamics (MD), which is…

Materials Science · Physics 2025-06-06 Miguel Spínola , Shashank Saxena , Prateek Gupta , Brandon Runnels , Dennis M. Kochmann

We present a unified theoretical and computational framework that bridges mathematical quasiperiodicity with classical crystallographic models. Based on a rigorous cut-and-projection construction, the proposed proximal coincidence point set…

Materials Science · Physics 2026-03-24 Suining Xiong , Wenwen Zou , Pingwen Zhang , Kai Jiang

The theoretical study of grain boundaries (GBs) in polycrystalline semiconductors is currently stalemated by their complicated nature, which is difficult to extract from any direct experimental characterization. Usually,…

Materials Science · Physics 2016-05-25 Cheng-yan Liu , Yue-yu Zhang , Yu-sheng Hou , Shi-you Chen , Hong-jun Xiang , Xin-gao Gong

Grain boundaries can exist as different grain boundary phases (also called complexions) with individual atomic structures. The thermodynamics of these defect phases in high-angle grain boundaries were studied mostly with atomistic and phase…

We present a systematic methodology, built within the Open Knowledgebase of Interatomic Models (OpenKIM) framework (https://openkim.org), for quantifying properties of grain boundaries (GBs) for arbitrary interatomic potentials (IPs), GB…

The complex arrangements of atoms near grain boundaries are difficult to understand theoretically. We propose a phenomenological (Ginzburg-Landau-like) description of crystalline phases based on symmetries and fairly general stability…

Materials Science · Physics 2015-06-25 Denis Boyer , David Romeu

This work investigates how grain boundaries (GBs) modify magnetic exchange interactions in bcc iron, with particular focus on the effect of phosphorus segregation. Using density-functional theory combined with the…

Materials Science · Physics 2026-04-14 Martin Zelený , Martin Heczko , Petr Šesták , Denis Ledue , Renaud Patte , Miroslav Černý

Grain boundaries with [111] tilt axes are common in polycrystalline face centered cubic metals. For copper (111) films, emergent grain boundaries close to surface have tilt axes that are shifted away from [111] that are lower in energy than…

Materials Science · Physics 2023-02-14 Xiaopu Zhang , John J. Boland

Previous simulation and experimental studies have shown that some grain boundaries (GBs) can couple to applied shear stresses and be moved by them, producing shear deformation of the lattice traversed by their motion. While this coupling…

Materials Science · Physics 2012-06-18 Z. T. Trautt , A. Adland , A. Karma , Y. Mishin

The structure and energy of grain boundaries (GBs) are essential for predicting the properties of polycrystalline materials. In this work, we use high-throughput density functional theory calculations workflow to construct the Grain…

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