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Related papers: Melting at dislocations and grain boundaries: A Ph…

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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

The dynamical mechanisms underlying the grain evolution and growth are of fundamental importance in controlling the structural properties of large-scale polycrystalline materials, but the effects of lattice ordering and distinct atomic…

Materials Science · Physics 2022-01-03 Brendon Waters , Zhi-Feng Huang

Grain rotation and grain boundary (GB) sliding are two important mechanisms for grain coarsening and plastic deformation in nanocrystalline materials. They are in general coupled with GB migration and the resulting dynamics, driven by…

Materials Science · Physics 2014-12-30 Anup Basak , Anurag Gupta

The thermally activated motion of dislocations across fields of obstacles distributed at random and in a correlated manner, in separate models, is studied by means of computer simulations. The strain rate sensitivity and strength are…

Computational Physics · Physics 2018-07-27 Zhijie Xu , Catalin Picu

The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to keep it moving, its velocity and displacement vector profile are calculated from first principles. We use a simplified discrete model whose far…

Materials Science · Physics 2009-11-10 A. Carpio , L. L. Bonilla

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

A hexagonal columnar crystal undergoes a shear-melting transition above a critical shear rate or stress. We combine the analysis of the shear-thinning regime below the melting with that of synchrotron X-ray scattering data under shear and…

Soft Condensed Matter · Physics 2007-05-23 L. Ramos , F. Molino

We derive a phase field crystal model that couples the diffusive evolution of a microscopic structure with the fast dynamics of a macroscopic velocity field, explicitly accounting for the relaxation of elastic excitations. This model…

Materials Science · Physics 2022-10-26 Vidar Skogvoll , Marco Salvalaglio , Luiza Angheluta

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

Deformation band patterning in single crystals is investigated using a finite strain crystal viscoplasticity model based on the evolution of dislocation densities. In the presence of strong latent hardening and weak rate dependence, the…

Materials Science · Physics 2025-07-02 Jean-Michel Scherer

We investigate analytically and numerically the interaction between grain boundaries and second phase precipitates in two-phase coherent solids in the presence of misfit strain. Our numerical study uses amplitude equations that describe the…

Materials Science · Physics 2016-11-02 Yechuan Xu , Pierre-Antoine Geslin , Alain Karma

Twist grain boundaries are widely observed in lamellar phases of block copolymers. A mesoscopic model of the copolymer is used to obtain stationary configurations that include a twist grain boundary, and to analyze their stability against…

Soft Condensed Matter · Physics 2008-04-15 Xusheng Zhang , Zhi-Feng Huang , Jorge Viñals

In light of the race towards macroscale superlubricity of graphitic contacts, the effect of grain boundaries on their frictional properties becomes of central importance. Here, we elucidate the unique frictional mechanisms characterizing…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Xiang Gao , Wengen Ouyang , Oded Hod , Michael Urbakh

Large twist-angle grain boundaries in layered structures are often described by Scherk's first surface whereas small twist-angle grain boundaries are usually described in terms of an array of screw dislocations. We show that there is no…

Soft Condensed Matter · Physics 2009-10-31 Randall D. Kamien , T. C. Lubensky

Crystal defects play a large role in how materials respond to their surroundings, yet there are many uncertainties in how extended defects form, move, and interact deep beneath a material's surface. A newly developed imaging diagnostic,…

Data Analysis, Statistics and Probability · Physics 2020-08-13 Arnulfo Gonzalez , Marylesa Howard , Sean Breckling , Leora E. Dresselhaus-Marais

The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boundaries. In this fashion, the…

Computational Physics · Physics 2017-06-07 Nikhil Chandra Admal , Giacomo Po , Jaime Marian

Grain boundaries (GBs) trigger structure-specific chemical segregation of solute atoms. According to the three-dimensional (3D) topology of grains, GBs - although defined as planar defects - cannot be free of curvature. This implies…

On the basis of a previous theoretical approach to the plastic flow of highly refined materials, a physical explanation for diffusion bonding is essayed, which yields closed--form equations relating the bonding progress with time,…

Materials Science · Physics 2010-07-02 Miguel Lagos , César Retamal

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov

We present a dynamic model to study ordering of particles on arbitrary curved surfaces. Thereby the particles are represented as maxima in a density field and a surface partial differential equation for the density field is solved to the…

Materials Science · Physics 2010-03-02 Rainer Backofen , Axel Voigt , Thomas Witkowski