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In this Letter, we present a new strategy for applying the learning machine to study phase transitions. We train the learning machine with samples only obtained at a non-critical parameter point, aiming to establish intrinsic correlations…

Statistical Mechanics · Physics 2019-01-04 Rongxing Xu , Weicheng Fu , Hong Zhao

The identification and classification of transitions in topological and microstructural regimes in pattern-forming processes are critical for understanding and fabricating microstructurally precise novel materials in many application…

Materials Science · Physics 2022-08-12 Marcin Abram , Keith Burghardt , Greg Ver Steeg , Aram Galstyan , Remi Dingreville

A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

Materials Science · Physics 2023-04-21 Samir El Shawish , Timon Mede

Predicting phase stabilities of crystal polymorphs is central to computational materials science and chemistry. Such predictions are challenging because they first require searching for potential energy minima and then performing arduous…

Materials Science · Physics 2020-07-15 Aleks Reinhardt , Chris J. Pickard , Bingqing Cheng

Faceted grain boundaries exhibit unusual segregation and migration tendencies. To gain a deeper understanding of how solute atoms interact with faceted interfacial structures during migration, this study probes the migration behavior of a…

Materials Science · Physics 2020-11-20 Megan J. McCarthy , Timothy J. Rupert

Grain boundary (GB) migration governs microstructure evolution and can mediate plastic deformation through sliding or shear coupling. Numerous experimental and numerical studies have reported a wide range of behaviors associated with…

Materials Science · Physics 2026-02-03 Brandon Runnels

Emergent grain boundaries at free surface control material properties such as nanomaterial strength, catalysis, and corrosion. Recently the restructuring of emergent boundaries on copper (111) surfaces was discovered experimentally and…

Materials Science · Physics 2023-02-13 Xiaopu Zhang , Ipen Demirel , John J. Boland

Grain boundaries are thermodynamically unstable. Hence, their properties should be path-dependent: grain boundaries in nanocrystals prepared using different methods might exhibit different properties. Using molecular dynamics simulations,…

Materials Science · Physics 2021-04-29 Hao Suna , Laurent Karim Béland

Genetic algorithms, computer programs that simulate natural evolution, are increasingly applied across many disciplines. They have been used to solve various optimisation problems from neural network architecture search to strategic games,…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Aymeric Vie , Alissa M. Kleinnijenhuis , Doyne J. Farmer

The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the…

Analysis of PDEs · Mathematics 2022-07-08 Katrine Golubkov , Amy Novick-Cohen , Yotam Vaknin

Most of the problems in genetic algorithms are very complex and demand a large amount of resources that current technology can not offer. Our purpose was to develop a Java-JINI distributed library that implements Genetic Algorithms with…

Neural and Evolutionary Computing · Computer Science 2016-05-24 Marco AR Erra , Pedro MM Mitra , Agostinho C Rosa

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…

This study proposes a new full-field approach for modeling grain boundary pinning by second phase particles in two-dimensional polycrystals. These particles are of great importance during thermomechanical treatments, as they produce…

Computational Engineering, Finance, and Science · Computer Science 2025-01-22 Sebastian Florez , Marc Bernacki

In this research, atomistic molecular dynamics simulations are combined with mesoscopic phase-field computational methods in order to investigate phase-transformation in polycrystalline Aluminum microstructure. In fact, microstructural…

Materials Science · Physics 2019-07-03 Mehrdad Yousefi

Existing Deep Neural Nets on crops growth prediction mostly rely on availability of a large amount of data. In practice, it is difficult to collect enough high-quality data to utilize the full potential of these deep learning models. In…

Machine Learning · Computer Science 2022-02-25 Shengzhe Wang , Ling Wang , Zhihao Lin , Xi Zheng

Grain-boundary grooving is a general phenomenon occurring in all polycrystalline materials at the intersection between the grain-boundary and the interface or free surface. It has been studied theoretically for some time. Grain-boundary…

Materials Science · Physics 2007-05-23 Mathieu Bouville

Recent developments in graph neural networks show promise for predicting the occurrence of abnormal grain growth, which has been a particularly challenging area of research due to its apparent stochastic nature. In this study, we generate a…

Materials Science · Physics 2024-07-12 Ryan Cohn , Elizabeth Holm

Networks determine our social circles and the way we cooperate with others. We know that topological features like hubs and degree assortativity affect cooperation, and we know that cooperation is favoured if the benefit of the altruistic…

Physics and Society · Physics 2021-10-04 A. Zhuk , I. Sendiña-Nadal , I. Leyva , D. Musatov , A. M. Raigorodskii , M. Perc , S. Boccaletti

Many technologically useful materials are polycrystals composed of small monocrystalline grains that are separated by grain boundaries of crystallites with different lattice orientations. The energetics and connectivities of the grain…

Analysis of PDEs · Mathematics 2021-06-29 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

Microscopic models of the interaction between grain boundaries (GBs) and both dislocations and cracks are of importance in understanding the role of microstructure in altering the mechanical properties of a material. A recently developed…

Materials Science · Physics 2009-10-30 V. B. Shenoy , R. Miller , E. B. Tadmor , R. Phillips , M. Ortiz