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The grain boundary (GB) energy is a quantity of fundamental importance for understanding several key properties of graphene. Here we present a comprehensive theoretical and numerical study of the entire space of symmetric and asymmetric…

材料科学 · 物理学 2016-11-22 Ashivni Shekhawat , Colin Ophus , Robert O. Ritchie

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…

材料科学 · 物理学 2024-09-04 Wei Wan , Changxin Tang , Eric R. Homer

Grain boundaries (GBs), an important constituent of polycrystalline materials, have a wide range of manifestion and significantly affect the properties of materials. Fully understanding the effects of GBs is stalemated due to lack of…

材料科学 · 物理学 2021-03-19 Cheng-yan Liu , Zhi-ming Li , Xin-gao Gong

Grain boundaries affect properties of polycrystalline materials. The influence of a boundary is largely determined by its energy. Grain boundary energy is often portrayed as a function of macroscopic boundary parameters representing grain…

材料科学 · 物理学 2025-01-07 Adam Morawiec

With the increasing availability of experimental and computational data concerning the properties and distribution of grain boundaries in polycrystalline materials, there is a corresponding need to efficiently and systematically express…

材料科学 · 物理学 2019-09-27 Jeremy K. Mason , Srikanth Patala

This paper studies how solute segregation and its relationship to grain boundary energy in binary alloys is captured in the phase field crystal (PFC) formalism, a continuum method that incorporates atomic scale elasto-plastic effects on…

材料科学 · 物理学 2013-04-10 Jonathan Stolle , Nikolas Provatas

In the 50's Read and Shockley proposed a formula for the energy of small angle grain boundaries in polycrystals based on linearised elasticity and an ansazt on the distribution of incompatibilities of the lattice at the interface. In this…

偏微分方程分析 · 数学 2023-06-14 Adriana Garroni , Martino Fortuna , Emanuele Spadaro

The grain boundary (GB) energy has a profound influence on the grain growth and properties of polycrystalline metals. Here, we show that the energy of a GB, normalized by the bulk cohesive energy, can be described purely by four geometric…

材料科学 · 物理学 2022-01-31 Weike Ye , Hui Zheng , Chi Chen , Shyue Ping Ong

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…

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…

材料科学 · 物理学 2020-09-14 Adam J Plowman , Christopher P Race

Investigating the grain boundary energies of pure fcc metals and their surface energies obtained from ab initio modeling, we introduce a robust method to estimate the grain boundary energies for complex multicomponent alloys. The input…

材料科学 · 物理学 2021-02-04 Changle Li , Song Lu , Levente Vitos

Grain boundary (GB) energy is a fundamental property that affects the form of grain boundary and plays an important role to unveil the behavior of polycrystalline materials. With a better understanding of grain boundary energy distribution…

计算物理 · 物理学 2020-02-04 Haoyu Wang , Srikanth Patala , Brian J. Reich

High energy x-ray diffraction microscopy was used to image the microstructure of $\alpha$-Fe before and after a 600 $^\circ$C anneal. These data were used to determine the areas, curvatures, energies, and velocities of approximately 40,000…

A new phase field dislocation dynamics formulation is presented, which couples micromechanical solvers and the time-dependent Ginzburg-Landau equation. Grain boundary (GB)-dislocation interactions are studied by describing GBs as…

材料科学 · 物理学 2026-02-20 Brayan Murgas , Avanish Mishra , Nithin Mathew , Abigail Hunter

Models of grain boundary energy are essential for predicting the behavior of polycrystalline materials. Typical models represent the minimum boundary energy as a function of macroscopic boundary parameters. An energy model may allow for…

材料科学 · 物理学 2025-10-21 Adam Morawiec

We present a phase-field approximation of sharp-interface energies defined on partitions, designed for modeling grain boundaries in polycrystals. The independent variable takes values in the orthogonal group $\mathrm{O}(d)$ modulo a lattice…

泛函分析 · 数学 2026-01-13 Sergio Conti , Vito Crismale , Adriana Garroni , Annalisa Malusa

Grain boundaries dramatically affect the properties of polycrystalline materials because of differences in atomic configuration. To fully understand the relationship between grain boundaries and materials properties, systematic studies of…

材料科学 · 物理学 2021-01-19 Shin Kiyohara , Tomohiro Miyata , Teruyasu Mizoguchi

The space of possible grain boundary structures is vast, with 5 macroscopic, crystallographic degrees of freedom that define the character of a grain boundary. While numerous datasets of grain boundaries have examined this space in part or…

We propose a two dimensional frame-invariant phase field model of grain impingement and coarsening. One dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and equilibrium energies are computed. We are…

材料科学 · 物理学 2007-05-23 Ryo Kobayashi , James A. Warren , W. Craig Carter

We present a detailed analysis of the universal relationship between grain boundary (GB) free energy and GB self-diffusion coefficient derived by Borisov et al. (1964). This relationship was expressed by a simple equation that was used in…

材料科学 · 物理学 2026-03-31 Yuri Mishin
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