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In this work the coupled motion of two different phases of {\Sigma}5(210)[001] grain boundaries were investigated by molecular dynamics simulations of fcc Cu. The effect of interfacial structural phase transitions is shown to have a…

Materials Science · Physics 2015-06-19 Timofey Frolov

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

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

The theory of interface localization in near-critical planar systems at phase coexistence is formulated from first principles. We show that mutual delocalization of two interfaces, amounting to interfacial wetting, occurs when the bulk…

Statistical Mechanics · Physics 2016-05-13 Gesualdo Delfino

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…

Grain boundary (GB) segregation in magnesium (Mg) substantially influences its mechanical properties and performance. Atomic-scale modelling, typically using ab-initio or semi-empirical approaches, has mainly focused on GB segregation at…

Grain boundaries in ultrafine grained (UFG) materials processed by severe plastic deformation (SPD) are often called "non-equilibrium" grain boundaries. Such boundaries are characterized by excess grain boundary energy, presence of long…

Materials Science · Physics 2012-03-30 Xavier Sauvage , Gerhard Wilde , Sergiy Divinski , Zenji Horita , Ruslan Valiev

The study of defect phases is important for designing nanostructured metals and alloys. Grain boundaries (GBs) form one class of defects that directly influence materials properties, such as deformability and strength. At the same time,…

Materials Science · Physics 2023-03-20 P. Mathews , S. Zhang , C. Scheu , R. Janisch , J. Neugebauer , T. Hickel

There is a need for numerical models capable of predicting local accumulation of hydrogen near stress concentrators and crack tips to prevent and mitigate hydrogen assisted fracture in steels. The experimental characterisation of trapping…

Applied Physics · Physics 2020-10-27 A. Díaz , A. Zafra , E. Martínez-Pañeda , J. M. Alegre , J. Belzunce , I. I. Cuesta

Interfaces in materials are often treated as massless geometric boundaries, and many kinetic models adopt an overdamped assumption. In this Letter, we show that grain boundaries exhibit inertial behavior under high-frequency oscillatory…

Materials Science · Physics 2025-12-03 Xinyuan Song , Chuang Deng

The Langmuir-McLean isotherm is often interpreted as providing an approximation to the most probable grain boundary segregation as a function of the bulk mole solute fraction $x_B$, even though $x_B$ is not an independant parameter in the…

Materials Science · Physics 2022-08-09 S. R. Wilson

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…

Materials Science · Physics 2025-10-21 Adam Morawiec

Phase field models are powerful tools to tackle free boundary problems. For phase transformations involving diffusion, the evolution of the non conserved phase field is coupled to the evolution of the conserved diffusion field. Introducing…

Materials Science · Physics 2015-06-18 G. Boussinot , Efim A. Brener

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

Modeling the chemical, electric, and thermal transport as well as phase transitions and the accompanying mesoscale microstructure evolution within a material in an electronic device setting involves the solution of partial differential…

Numerical Analysis · Mathematics 2024-09-26 Xiaofeng Xu , Lian Zhang , Yin Shi , Long-Qing Chen , Jinchao Xu

The kinetics of interfaces in alloy solidification pose a classic free boundary problem. This paper introduces an approach that amalgamates the distinctive characteristics of sharp and diffuse interface models. The motion of the diffuse…

Materials Science · Physics 2024-05-31 Chuanqi Zhu , Yuichiro Koizumi

We construct a phase field model including hydrodynamics and elasticity in one-component systems. It can be used to investigate solid-liquid and liquid-liquid phase transitions. Upon first-order phase transition, a velocity field is induced…

Soft Condensed Matter · Physics 2015-03-13 Kyohei Takae , Akira Onuki

Interfaces between lamellar and disordered phases, and grain boundaries within lamellar phases, are investigated employing a simple Landau free energy functional. The former are examined using analytic, approximate methods in the weak…

Soft Condensed Matter · Physics 2015-06-25 Simon Villain-Guillot , Roland R. Netz , David Andelman , Michael Schick

A numerical investigation of grain-boundary (GB) grooving by means of the Level Set (LS) method is carried out. GB grooving is emerging as a key element of electromigration drift in polycrystalline microelectronic interconnects, as…

Materials Science · Physics 2007-05-23 M. Khenner , A. Averbuch , M. Israeli , M. Nathan , E. Glickman

Our general subject is the emergence of phases, and phase transitions, in large networks subjected to a few variable constraints. Our main result is the analysis, in the model using edge and triangle subdensities for constraints, of a sharp…

Combinatorics · Mathematics 2017-03-16 Charles Radin , Kui Ren , Lorenzo Sadun