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Related papers: Grain boundary energies and cohesive strength as a…

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Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

Classical Physics · Physics 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli

This is the second paper of a three-part work the main aim of which is to provide a unified consistent framework for the phase-field modelling of cohesive fracture. Building on the theoretical foundations of the first paper, where…

Analysis of PDEs · Mathematics 2025-07-17 Roberto Alessi , Francesco Colasanto , Matteo Focardi

We present a high-fidelity three dimensional computational framework for simulating the bulk mechanical behavior of granular aggregates composed of deformable brittle grains. Departing from classical discrete element methods (DEM), our…

Soft Condensed Matter · Physics 2025-07-16 Debdeep Bhattacharya , Davood Damircheli , Robert P. Lipton

A numerical model able to simulate the grain breakage with the discrete element method, using the "Non-Smooth Contact Dynamics" is presented. The model reproduces 3D grains having complex shapes and is tested in single grain and in…

Classical Physics · Physics 2022-03-28 François Nader , Claire Silvani , Irini Djeran-Maigre

A continuum model of the two dimensional low angle grain boundary motion and the dislocation structure evolution on the grain boundaries has been developed in Ref. [48]. The model is based on the motion and reaction of the constituent…

Materials Science · Physics 2020-01-14 Luchan Zhang , Yang Xiang

Grain boundaries (GBs) can critically influence the microstructural evolution and various materials properties. However, a fundamental understanding of GBs in high-entropy alloys (HEAs) is lacking because of the complex couplings of the…

Materials Science · Physics 2021-04-13 Chongze Hu , Jian Luo

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…

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…

Materials Science · Physics 2021-02-04 Changle Li , Song Lu , Levente Vitos

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions.…

Applied Physics · Physics 2019-03-27 Rudy J. M. Geelen , Yingjie Liu , Tianchen Hu , Michael R. Tupek , John E. Dolbow

We demonstrate insights into the three-dimensional structure of defects in graphene, in particular grain boundaries, obtained via a new approach from two transmission electron microscopy images recorded at different angles. The structure is…

We study the coupled surface and grain boundary motion in a bicrystal in the context of the "quarter loop" geometry. Two types of physics motions are involved in this model: motion by mean curvature and motion by surface diffusion. The goal…

Numerical Analysis · Mathematics 2007-05-23 Zhenguo Pan , Brian Wetton

One of the most important aims of grain boundary modeling is to predict the evolution of a large collection of grains in phenomena such as abnormal grain growth, coupled grain boundary motion, and recrystallization that occur under extreme…

Materials Science · Physics 2021-10-26 Jaekwang Kim , Matt Jacobs , Stanley Osher , Nikhil Chandra Admal

Light elements play an important role in influencing the macroscale properties of engineering alloys through grain boundary (GB) segregation phenomena. However, the scarcity and scattered nature of ab initio datasets for light elements in…

Materials Science · Physics 2026-05-05 Han Lin Mai , Xiang-Yuan Cui , Tilmann Hickel , Simon P. Ringer , Jörg Neugebauer

In this work we derive conditions that predict the existence of two-phase periodic-pattern grain boundary structures that are stable against coarsening. While previous research has established that elastic effects can lead to phase pattern…

Materials Science · Physics 2023-12-14 Ian S. Winter , Timofey Frolov

We implemented a coarse-graining procedure to construct mesoscopic models of complex molecules. The final aim is to obtain better results on properties depending on slow modes of the molecules. Therefore the number of particles considered…

Soft Condensed Matter · Physics 2009-10-31 Hendrik Meyer , Oliver Biermann , Roland Faller , Dirk Reith , Florian Mueller-Plathe

This paper investigates the statistical behavior of two-dimensional grain microstructures during grain growth under anisotropic grain boundary characters. We employ the threshold-dynamics method, which allows for unparalleled computational…

Materials Science · Physics 2023-09-19 Jaekwang Kim , Nikhil Chandra Admal

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

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…

Materials Science · Physics 2022-01-31 Weike Ye , Hui Zheng , Chi Chen , Shyue Ping Ong

A grain boundary which separates domains with different orientation along the c-axis is analyzed. The coupling of two parallel superconducting planes whose order parameters are rotated leads to interesting properties which are expected to…

Superconductivity · Physics 2007-05-23 M. J. Calderon , E. Bascones

In this paper, we present a continuum model to compute the energy of low angle grain boundaries for any given degrees of freedom (arbitrary rotation axis, rotation angle and boundary plane orientation) based on a continuum dislocation…

Materials Science · Physics 2016-12-20 Luchan Zhang , Yejun Gu , Yang Xiang